阅读说明：本技术 用于叠加基波合成的装置和方法 (Apparatus and method for superposition fundamental synthesis ) 是由 普拉德内什·莫哈尔 拉胡尔·科普卡尔 于 2017-10-04 设计创作，主要内容包括：本发明提供了用于干涉基波合成的装置和方法。本发明包括(i)接收定义输出波特性的信息,所述输出波特性包括至少一个输入波频率B及输出信号振幅M,(ii)确定恒值A及(iii)驱动一第一输入波生成器生成第一输入波及(iv)驱动一第二输入波生成器生成第二输入波,使得由第一输入波和第二输入波的干涉所合成的干涉波具有由接收的信息所定义的输出波特性。(The invention provides a device and a method for interference fundamental wave synthesis. The invention includes (i) receiving information defining an output wave characteristic including at least one input wave frequency B and an output signal amplitude M, (ii) determining a constant value a and (iii) driving a first input wave generator to generate a first input wave and (iv) driving a second input wave generator to generate a second input wave, such that an interference wave resulting from interference of the first input wave and the second input wave has an output wave characteristic defined by the received information.)

1. An apparatus for interferometric fundamental synthesis, the apparatus comprising:

A first input wave generator;

generating a second input wave; and

a signal processor configured to:

Receiving information defining output wave characteristics, the output wave characteristics including at least one output wave frequency B, and an output signal amplitude M;

Determining a constant value A;

driving a first input wave generator to generate a first input wave, wherein the first input wave has:

frequency (a + B); and

An amplitude that satisfies the function 1/(2 x sin (a x t));

And

Driving a second input wave generator to generate a second input wave, wherein the second input wave has:

Frequency (A-B); and

The amplitude of the function 1/(2 x sin (a x t)) is satisfied.

2. the apparatus of claim 1, wherein the signal processor is configured to:

Driving a first input wave generator to generate a first input wave such that the first input wave has an amplitude equal to M/(2 x sin (a x t)); and

Driving a second input wave generator to generate a second input wave such that the second input wave has an amplitude equal to M/(2 sin (A t)).

3. The apparatus of claim 1, wherein the first input wave generator is configured to define a first wave output channel and the second input wave generator is configured to define a second wave output channel such that the first input wave and the second input wave interfere with each other within an interference region defined by an intersection of the first wave output channel and the second wave output channel.

4. The apparatus of claim 1, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

cos B＝(sin(A+B)+sin(A-B))/(2 sin A)。

5. The apparatus of claim 1, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

sin B＝(sin(A+B)-sin(A-B))/(2 cos A)。

6. the apparatus of claim 1, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

cos B＝(cos(A+B)+cos(A-B))/(2 cos A)。

7. The apparatus of claim 1, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

sin B＝(cos(A-B)-cos(A+B))/(2 sin A)。

8. The apparatus of claim 1, wherein a first input wave generator comprises a first input wave generating surface and a second input wave generator comprises a second input wave generating surface, wherein the first input wave generating surface and the second input wave generating surface are disposed facing each other.

9. The device of claim 1, wherein frequency B is a frequency in the range of 20Hz to 200Hz, and both frequency (a + B) and frequency (a-B) are frequencies in the range of 20,000Hz to 20 MHz.

10. the method of claim 1, wherein the device is a sounder.

11. A method for interferometric fundamental synthesis, the method comprising:

Receiving information defining input wave characteristics, the output wave characteristics including at least one output wave frequency B, and an output signal amplitude M;

Determining a constant value A;

Generating a first input wave, wherein the first input wave has:

Frequency (a + B); and

An amplitude that satisfies the function 1/(2 x sin (a x t));

And

Generating a second input wave, wherein the second input wave has:

Frequency (A-B); and

The amplitude of the function 1/(2 x sin (a x t)) is satisfied.

12. The method of claim 11, wherein:

The first input wave has an amplitude equal to M/(2 x sin (a x t)); and

the second input wave has an amplitude equal to M/(2 x sin (a x t)).

13. The method of claim 11, wherein a first input wave generator is configured to generate a first input wave having a defined first output wave channel and a second input wave generator is configured to generate a second input wave having a defined second wave output channel such that the first input wave and the second input wave interfere with each other within an interference region defined by an intersection of the first wave output channel and the second wave output channel.

14. The method of claim 11, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

cos B＝(sin(A+B)+sin(A-B))/(2 sin A)。

15. the method of claim 11, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

sin B＝(sin(A+B)-sin(A-B))/(2 cos A)。

16. The method of claim 11, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

cos B＝(cos(A+B)+cos(A-B))/(2 cos A)。

17. The method of claim 11, wherein an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression

sin B＝(cos(A-B)-cos(A+B))/(2 sin A)。

18. a computer program product for implementing interferometric fundamental synthesis, comprising a non-transitory computer usable medium having computer readable program code embodied therewith, the computer readable program code comprising

Receiving information defining input wave characteristics, the output wave characteristics including at least one output wave frequency B, and an output signal amplitude M;

Determining a constant value A;

Generating a first input wave, wherein the first input wave has:

Frequency (a + B); and

An amplitude that satisfies the function 1/(2 x sin (a x t));

And

Generating a second input wave, wherein the second input wave has:

Frequency (A-B); and

Instructions that satisfy the amplitude of the function 1/(2 x sin (a x t)).

Technical Field

the present invention relates to an apparatus and method for generating an output wave having a preferred frequency. The invention enables, inter alia, the generation of an output wave by superposition of a plurality of input waves.

Background

The generation of waves is a complex field of practical application, including for example applications in the field of audio technology.

Each wave may be understood as a collection of one or more sinusoidal signals, each of which may represent a sinusoidal waveform that may be represented in the form of a function:

Sin (X.t + Z) … equation (1)

where (i) M is amplitude, (ii) X is frequency, and (iii) Z is initial phase.

It has been found, however, that the generation of waves is governed by physical aspects and limitations of the drivers used for the purpose of generating such waves. In particular, it has been found that the generation of waves at certain frequencies can be complex, inefficient or resource intensive compared to the generation of waves at other frequencies. By way of a specific example, in the field of audio technology, it has been found that the generation of frequencies below 200Hz (for example 20Hz to 200Hz, or even below 20Hz) requires drivers (such as sounders) that are much larger in size, and that require higher energy consumption (and therefore are more complex and expensive to manufacture) than the drivers (such as woofers, midrange speakers and tweeters) used to generate higher frequencies. Issues with damping are raised with respect to resonant frequency and housing considerations that generally affect considerations such as size, weight, design, incorporation, and cost of conventional designs for low frequency drives.

one potential solution to the problem of difficult, complex and inconvenient generation of waves at a particular frequency is to apply the principle of superposition of waves to combine a plurality of input waves of a particular selected frequency to generate a resonant (superposed) output wave of the desired frequency. The underlying theory of this approach has been that interference between a plurality of input waves will result in the generation of an output wave having the desired frequency characteristics.

However, it has been found that when combining two or more input waves having different frequencies will potentially result in a combined output wave having a desired frequency, the resulting output wave will have a time-varying amplitude component, making the output wave undesirable for practical applications. In the audio domain, this problem is observed when two input waves of different selected frequencies are combined, resulting in an output wave having the desired frequency, but also having a beat waveform (i.e. a variable amplitude/volume characteristic).

accordingly, there is a need for a solution in which a plurality of input waveforms can be effectively combined to generate a superimposed output wave having controllable or desired frequency and amplitude characteristics.

disclosure of Invention

The invention provides an interference device for fundamental wave (basedwave) synthesis. The apparatus includes a first input wave generator, a second input wave generator, and a signal processor. The signal processor may be configured to (i) receive information defining an output wave characteristic comprising at least one output wave frequency B and an output signal amplitude M, (ii) determine a constant a, and (iii) drive a first input wave generator to generate a first input wave, and (iv) drive a second input wave generator to generate a second input wave. The first input wave may have a frequency (a + B) and an amplitude that satisfies the function 1/(2 x sin (a x t)). The second input wave may have a frequency (a-B) and an amplitude that satisfies the function 1/(2 x sin (a x t)).

The signal processor may be configured to (i) drive a first input wave generator to generate a first input wave such that the first input wave has an amplitude equal to M/(2 sin (a t)), and (ii) drive a second input wave generator to generate a second input wave such that the second input wave has an amplitude equal to M/(2 sin (a t)).

The first input wave generator may be configured to define a first wave output channel and the second input wave generator may be configured to define a second wave output channel such that the first and second input waves interfere with each other at an interference region defined by the intersection of the first and second wave output channels.

In one apparatus embodiment, an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression:

cosB＝(sin(A+B)+sin(A-B))/(2sinA)。

In another embodiment, an output wave generated by interference of a first input wave and a second input wave satisfies the waveform expression:

sinB＝(sin(A+B)-sin(A-B))/(2cosA)。

an output wave generated by interference of the first input wave and the second input wave satisfies the waveform expression:

cosB＝(cos(A+B)+cos(A-B))/(2cosA)。

In another embodiment, wherein an output wave generated by interference of a first input wave and a second input wave satisfies the waveform expression:

sinB＝(cos(A-B)-cos(A+B))/(2sinA)。

The first input wave generator may include a first input wave generating surface, and the second input wave generator includes a second input wave generating surface. Wherein the first input wave generating surface and the second input wave generating surface are disposed facing each other.

in an apparatus embodiment, the frequency B is a frequency in the range of 20Hz to 200Hz, and both the frequency (A + B) and the frequency (A-B) are frequencies in the range of 20000Hz to 20 MHz.

in one embodiment, the device is a sound generator.

the invention also provides a fundamental wave synthetic interference method. The method includes (i) receiving information defining output wave characteristics including at least one output wave frequency B and an output signal amplitude M, (ii) determining a constant a, (iii) generating a first input wave, wherein the first input wave has a frequency (a + B) and an amplitude satisfying a function 1/(2 sin (a t)), and (iv) generating a second input wave, wherein the first input wave may have a frequency (a-B) and an amplitude satisfying a function 1/(2 sin (a t)).

in one method embodiment, the first input wave has an amplitude equal to M/(2 × sin (a × t)), and the second input wave has an amplitude equal to M/(2 × sin (a × t)).

in another embodiment of the method, a first input wave generator may be configured to generate a first input wave having a defined first wave output channel, and a second input wave generator may be configured to generate a second input wave having a defined second wave output channel, such that the first and second input waves interfere with each other at an interference region defined by the intersection of the first and second wave output channels.

In one method embodiment, an output wave generated by interference of a first input wave and a second input wave satisfies a waveform expression:

cosB＝(sin(A+B)+sin(A-B))/(2sinA)。

In another embodiment of the method, an output wave generated by interference of the first input wave and the second input wave satisfies the waveform expression:

sinB＝(sin(A+B)-sin(A-B))/(2cosA)。

in a further embodiment, an output wave generated by interference of the first input wave and the second input wave satisfies the waveform expression:

cosB＝(cos(A+B)+cos(A-B))/(2cosA)。

In an alternative embodiment of the method, wherein an output wave generated by interference of the first input wave and the second input wave satisfies the waveform expression:

sinB＝(cos(A-B)-cos(A+B))/(2sinA)。

The present invention further provides a computer program product for implementing fundamental synthetic interference. The computer program product may include a non-transitory computer usable medium having embodied computer readable program code, the computer readable program code including instructions for (i) receiving information defining an output wave characteristic including at least one output wave frequency B and an output signal amplitude M, (ii) determining a constant a, (iii) generating a first input wave, wherein the first input wave has a frequency (a + B) and an amplitude satisfying a function 1/(2 sin (a t)), and (iv) generating a second input wave, wherein the first input wave may have a frequency (a-B) and an amplitude satisfying the function 1/(2 sin (a t)).

Drawings

Fig. 1-3 depict illustrative examples of wave superpositions.

Fig. 4 depicts an exemplary illustration of a method of wave superposition within the audio domain.

Fig. 5 is an exemplary graph of an interfering/superimposed input waveform and the resulting superimposed output wave.

fig. 6 depicts an apparatus embodiment of the present invention.

Fig. 7 and 8 depict exemplary configurations of drivers/wave generators in accordance with the teachings of the present invention.

FIG. 9 depicts a system configured to implement the teachings of the present invention.

Detailed description of the invention

fig. 1 depicts an illustrative example of wave superposition, where a first wave and a second wave have the same amplitude and frequency characteristics, and have a phase difference relative to each other by an even multiple of pi (180 °), so that the constructive combinations result in an amplitude of the resulting wave that is the sum of the amplitudes of the first and second waves, and greater than either amplitude alone.

Fig. 2 depicts an example of wave superposition, where a first wave and a second wave have the same amplitude and frequency characteristics separated by a phase difference of odd multiples of pi (180 °) relative to each other, and thus combine destructively so that the resulting wave amplitude is an intermediate value of the amplitudes of the first and second waves, and thus cancel each other.

it will be appreciated, however, that wave superposition does not necessarily (or generally importantly) involve the combination of waves having the same amplitude and frequency characteristics, and therefore rarely results in perfect constructive or destructive interference. Conversely, wave superposition relates more to the kind of at least one first wave and second wave depicted as described in fig. 3, having different amplitude, frequency and/or phase characteristics, resulting in an output wave having a complex waveform as depicted in fig. 3.

the present invention is premised on the surprising discovery that waves having different (and thus different) characteristics, such as frequency, amplitude, phase, etc., can be selected, generated, and combined in a controllable manner to generate an output wave having a desired characteristic, such as frequency, amplitude, phase, etc.

The interference/superposition of any two sinusoids with the same amplitude M and respective frequencies X, Y may be expressed as follows:

M × sin (X × t) + M × sin (Y × t) ═ 2 × M × sin (((X + Y)/2) × t) × cos (((X-Y)/2) × t) … equation (2)

Or alternatively, may be expressed as follows:

sin (X × t) + sin (Y × t) ═ 2 × sin (((X + Y)/2) × t) × cos (((X-Y)/2) × t)

By representing X and Y as the sum and difference of two frequencies A, B (i.e., X ═ a + B, and andY ═ a-B)), the interference/superposition of any two sinusoids with amplitude M and respective frequencies X, Y can be expressed as follows:

m × sin ((a + B) × t) + M × sin ((a-B) × t) ═ 2 × M × sin (a × t) × cos (B × t) … equation (4)

thus, if two sine waves with amplitude M and respective frequencies (A + B) and (A-B) interfere/superpose, the resulting waveform is a beat frequency with two frequency components A and B. Thus, a wave having frequency A or frequency B can be generated by interference or superposition of two waves having respective frequencies (A + B) and (A-B).

for example, if the superimposed waveform is considered to have a superimposed frequency B, the amplitude of the superimposed waveform can be expressed as: 2 × M × sin (a × t).

The amplitude is time-varying and not constant, as a result of which the resulting waveform is almost unusable for frequencies a or B.

The present invention solves this problem by processing each of the two input waves so that each of the two input waves satisfies the function 1/(2M sin (a t)). In one embodiment, the present invention solves the problem of time-varying amplitudes by ensuring that the amplitude of each of the two input waves is equal to (i) the expected amplitude of the superimposed output wave and (ii) 1/(2M sin (a t)).

by interfering or superimposing two input waves each having a frequency equal to (a + B) and (a-B) and an amplitude satisfying (and preferably equal to) the function M/(2 x sin (a x t)), the resulting superimposed output wave can be expressed as either:

cos (B × t) ═ sin ((a + B) × t)/(2 × sin (a × t)) + sin (a-B) × t)/(2 × sin (a × t)) … equation (5)

Or

sinacosB ═ (sin (A + B) + sin (A-B))/2 … equation (6)

Or

cosB ═ sin (A + B) + sin (A-B))/(2sinA) … equation (7)

Or

cosasinB ═ (sin (A + B) -sin (A-B))/2 … equation (8)

Or

sinB ═ (sin (a + B) -sin (a-B))/(2cosA) … equation (9)

Or

cosAcosB ═ cos (a + B) + cos (a-B))/2 … equation (10)

Or

cosB ═ cos (a + B) + cos (a-B))/(2cosA) … equation (11)

Or

cosA ═ (cos (a + B) + cos (a-B))/(2cosB) … equation (12)

Or

sinasinB ═ (cos (A-B) -cos (A + B))/2 … equation (13)

Or

sinB ═ cos (a-B) -cos (a + B))/(2sinA) … equation (14)

or

sinA ═ (cos (a-B) -cos (a + B))/(2sinB) … equation (15)

By selecting input waves each having a frequency (a + B) and (a-B) and an amplitude equal to M/(2 x sin (a) t), the present invention achieves the generation of a superimposed output wave having a frequency B and a constant amplitude M, unlike the time-varying (beat pattern) amplitude of the resulting output wave when two non-preconditioned waves (non-preconditioned waves) interfere or are superimposed.

An important advantage over past approaches is that the amplitude of the resulting wave is constant, unlike the time-varying amplitude of the resulting output wave when two non-preconditioned waves interfere or superpose resulting in beat patterns that cannot be practically used.

it will be appreciated that the present invention allows for the selection of any constant value a that may facilitate the generation of an input wave having frequencies (a + B) and (a-B) in order to generate a superimposed output wave having frequency B. Since the selected value of the constant value a can be any value, the present invention enables the generation of a wave having a frequency B in a first frequency range using an input wave having frequencies (a + B) and (a-B), wherein the frequency range containing frequencies (a + B) and (a-B) is significantly removable from the frequency B of the desired superimposed output wave. By appropriate selection of the constant value a, the frequency B of the desired superimposed output wave can be significantly different from the frequencies (a + B) and (a-B) of the input waves.

In a particular implementation of the invention, in a particular application in the field of audio, the method and apparatus of the invention may be implemented to generate a superimposed output wave having a relatively low frequency using an input wave having a high frequency. It will be appreciated that for a desired output frequency B, the high value of the constant a may be selected so that both (a + B) and (a-B) are in a higher frequency range, thus enabling the generation of an output sound having a lower frequency B. By generating a high frequency input wave having frequencies (a + B) and (a-B) to generate a lower frequency B, the present invention allows for the generation of low and ultra low frequencies using drivers that are suitable for higher frequency configurations, thus avoiding the driver size and input power requirements associated with generating low and ultra low frequencies. The present invention also avoids other disadvantages associated with systems and components for generating low and ultra-low frequencies, such as large housing size/system weight/system dimensions, large form factor, high constructive cost, design constraints, and high system complexity. The present invention also enables the generation of a desired output wave based on an input wave that can be generated in any way, in reverse, including (i) natural, periodic/repetitive, non-repetitive, or aperiodic waves, (ii) one or more interfering waves, including constructive arrays, phased arrays, generated by mathematical functions as needed, (iii) look-up tables (LUTs), or any permutation/combination of the above, including repetition.

It will be appreciated that the method described above may be used to generate an output wave having a frequency typically generated by a woofer and a subwoofer (i.e. in the range of 20Hz to 500 Hz) by interfering or superimposing input waves having significantly higher frequencies, such as mid-range frequencies (250Hz to 2,000Hz), high-range frequencies (2,000Hz to 20,000Hz) and ultrasonic frequencies (20,000Hz and above). Given a desired output wave frequency value B, a constant value A may be selected such that the input wave frequencies (A + B) and (A-B) each fall within any of the frequency ranges described above.

In a particularly advantageous embodiment of the invention, for a given desired output frequency B, it is chosen such that both input wave frequencies (a + B) and (a-B) fall within the ultrasonic frequency, such as a constant value a greater than 20,000Hz (or alternatively between 20,000Hz and 20 MHz), so that the input wave falls outside the range of human hearing and does not interfere with the human perception of the external desired output wave. In another more preferred embodiment of the invention, the desired output wave having a frequency B that falls within 20Hz to 500Hz is generated by the interference or superposition of two input waves each having a respective input frequency (a + B) and (a-B), wherein the input wave frequencies (a + B) and (a-B) both fall within the ultrasonic frequency, i.e. greater than 20,000Hz (or alternatively between 20,000Hz and 20 MHz).

the low frequency sound resulting from implementing the teachings of the present invention is generated in the air/medium by interference of waves rather than directly by the sound generator itself. Unlike conventional woofers or subwoofers, the resonant frequency of sounder systems embodying the teachings of the present invention lies in the ultrasonic range. Correspondingly, the sounder driver and the resonant processing of the assembly are much simpler to apply, making the overall assembly/system significantly lighter, smaller, thinner, cheaper, and simpler to design. Furthermore, the manufacture of multiple form factors for sounders or sounder assemblies is also enabled, which was not possible in the past.

Fig. 4 depicts an audio domain based implementation of the invention, wherein a first audio signal driver S1 is used to generate a first input wave W1 and a second audio signal driver S2 is used to generate a second input wave W2, wherein the audio signal drivers S1 and S2 are positioned such that the first input wave W1 interferes with the second input wave W2, resulting in a superimposed output wave W3. In accordance with the method described above, by configuring or operating the first and second audio signal drivers S1 and S2 to generate the input waves W1 and W2, embodiments of the present invention ensure that the superimposed output wave W3 can have a wave frequency that is significantly different from (and in a particular embodiment significantly lower than) the respective frequencies of the input waves W1 and W2.

Fig. 5 depicts a graph showing the respective amplitude versus time domain of two input waves (input wave 1 and input wave 2 each represented by a dashed line), and the resulting output wave has a controlled or non-varying amplitude (the output wave is represented by a solid sine wave superimposed over the two input waves for the purposes of illustration).

Fig. 6 depicts an exemplary apparatus 600 configured to implement the teachings of the present invention. The apparatus 600 includes a signal source 602, a signal processor 604, a first input wave generator 610 and a second input wave generator 612.

signal source 602 may include any data or information source that may provide information regarding signal characteristics expected for an output wave generated by apparatus 600. In an embodiment, signal source 602 may comprise a digital signal source within which one or more digital signals may be extracted that may define signal characteristics of a desired output wave. Illustrative examples of digital signal sources may include any transitory or non-transitory memory in which one or more digital signals may be received or extracted, such as a microphone or transducer configured to detect one or more analog signals, and optionally convert the one or more analog signals into digital signals. In another embodiment, signal source 602 may include one or more signal sources that may generate a combined or mixed signal based on a combination of analog and digital signals. It will also be appreciated that the digital signal needs to be retrieved from memory, and may instead be generated and received by the digital signal source in real time.

The signal processor 604 includes a signal analyzer 606 and a signal controller 608, respectively. In an embodiment, each of the signal analyzer 606 and the signal controller 608 may be implemented by way of one or more processors, integrated circuits, application specific integrated circuits or other semiconductor devices, optical devices, or any other device for that matter. Signal analyzer 606 may be configured to analyze digital signal characteristics of a desired output wave received from signal source 602, including amplitude, frequency, and/or phase characteristics of the output signal. The signal analyzer 606 may also be configured to determine suitable frequencies for a plurality of input waves that may be stacked to generate a stacked output wave having characteristics of the output wave received from the signal source 602. In an exemplary embodiment of the present invention, for an output wave having a frequency B and an amplitude M, the signal analyzer may be configured to determine at least a first input wave frequency (a + B) and a second input wave frequency (a-B), where a is a constant value such that the frequencies (a + B) and (a-B) are frequency values that may be generated by the first input wave generator 610 and the second input wave generator 612, respectively.

the signal controller 608 may then be configured to (i) drive the first input wave generator 610 to generate a first input wave having a frequency (a + B) and an amplitude M/(2 x sin (a)), and (ii) drive the second input wave generator 612 to generate a second input wave having a frequency (a-B) and an amplitude M/(2 x sin (a t)).

In one embodiment, the first and second input wave generators 610, 612 may be configured or arranged such that the resulting input waves 1 and 2 interfere at an intersection region defined by a first output channel corresponding to the first input wave generator 610 and a second output channel corresponding to the second input wave generator 612. The interference of the input wave 1 and the input wave 2 in the intersection region results in the generation of a superimposed output wave with amplitude M and frequency B. Although fig. 6 depicts a single signal source, a single processor, and a single signal controller, it is to be understood that the present invention also contemplates embodiments having any plurality of one or more signal sources, signal processors, and signal controllers.

in an apparatus embodiment of the invention, signal processor 604 may be configured to analyze and generate signals corresponding to input waves 1 and 2 according to any of the embodiments as detailed above in the present invention. It will be appreciated that although fig. 6 depicts two input waves, the teachings of the present invention are applicable to any number of input waves.

Although the above-described method and apparatus embodiments of the present invention have been described in terms of generating a superimposed output wave by combining two input waves, it will be appreciated that the principles of the present invention are equally applicable to generating a superimposed output wave by combining more than two input waves. In an embodiment of the invention, generating the superimposed output wave may comprise combining at least a first input wave and a second input wave to generate an intermediate output wave, and then combining the intermediate output wave with a third input wave to generate the superimposed output wave. It will be appreciated that the generation of the desired superimposed output wave may include combining two waves to generate multiple instances of a third input wave, which may then be combined with another input wave until the desired superimposed output wave is ultimately generated. In each combining step, the method of selecting the frequency and amplitude of the input waves to the combining step may be based on the desired frequency and amplitude of the output waves from the particular combining step, wherein in order for the desired output waves from the particular combining step to have a frequency B and an amplitude M, the two input waves in the combining step may have frequencies (a + B) and (a-B), respectively, and the amplitude satisfies (or is preferably equal to) the function M/(2 sin (a t)), in an alternative embodiment, a may be selected to be any constant value greater than the value of B.

it will be appreciated that the method and apparatus of the present invention do not place limitations or restrictions on the interfering or superimposed input waves, including with respect to any wave type, wave source, number of waves, wave characteristics or wave parameters, wave transmission medium, and apparatus that affects interference or superposition. It will be particularly appreciated that the invention is not limited to the creation of sine or cosine waves only, but can be used to create any type, including waves described by mathematical formulas or arbitrary or conventional waves.

The invention is not limited to the creation of sine/cosine waves only, but can be used to create any type, including waves described by mathematical formulas or arbitrary waves/traditional waves.

In various embodiments of the invention, the input wave may be natural, periodic/repetitive, non-periodic, created by one or more interfering waves, including constructive interference, phased arrays, generated as needed by mathematical functions, display look-up tables (LUTs), or any permutation/combination of the above waves, including repetition.

The waves may interfere in a vacuum, in one medium, in multiple media, or in any other manner. The input waves may interfere in a configuration where the input waves intersect each other, face the same direction, are parallel, are anti-parallel, are at an angle to each other, or in any other configuration that allows waves to interfere.

Still further, the selection of the number of waves to interfere/superpose, and the selection of wave parameters, such as frequency, amplitude, phase, mechanical means to interfere/superpose, etc., the physical implementation may depend on the particular application and factors of the application, such as efficiency, directivity, size, energy, speed, expense, design, complexity, mitigation of unwanted side effects, etc.

furthermore, optimization of the generation of the output waves may also be performed by a number of methods, including suitable wave sources, characteristics, number of wave sources, reference frequency methods, sequence of wave interference and/or intermediate waves, conversions to be made and their order, selection of creations, and/or selection of display look-up tables and values thereof, etc.

In an apparatus embodiment of the invention, the first and second input wave generators may be configured to ensure that the generated first and second input waves directly intersect each other to enhance maximum interference (i.e., the maximum possible number of interfering waves). Additional features may be included in other device embodiments, such as acoustic isolators or ultrasonic bumpers configured to prevent ultrasonic frequencies from escaping from the intersection region of the first and second input wave generators, also to prevent the angular input wave generators from being located in a region such that the emitted input waves are directed downward or away from the subject's ear (to prevent organ damage due to exposure to ultrasonic frequencies), and so forth. In particular embodiments, the apparatus may include one or more waveguides to optimize interference of the first and second input waves within a desired wave intersection region.

The method and apparatus of the present invention have general/broad scope of application for all kinds of waves, including but not limited to acoustic waves, all kinds of electromagnetic waves, including light, laser, radio frequency, waves through, for example, a shockwave medium, gravitational waves, and the like. Exemplary applications include superimposed output wave synthesis for audio, remote acoustic devices, energy/data transmission devices that do not require demodulation, application to source encryption techniques and/or generation of intermediate waves of the resulting wave, and the like.

another benefit of the present invention is that it also eliminates the need to demodulate the resulting wave to extract the original signal, which would provide potential benefits in a number of applications including, but not limited to, communications involving transmission spectrum communication techniques involving proprietary (or secure) demodulation, involving energy transmission techniques involving proprietary metering, etc.

As mentioned above, an important embodiment of the invention comprises the application of the invention in the field of generating audio signals and audio outputs, wherein the invention can be used to generate output waves with frequencies in the woofer (woofer) and/or subwoofer (sub-woofer) (i.e. in the range of 20Hz to 500 Hz) by interfering or superimposing input waves with significantly higher frequencies, such as mid-frequency (250Hz to 2,000Hz), high-frequency (2,000Hz to 20,000Hz) and ultrasonic frequencies. Given a desired output wave frequency value B, the constant value A can be selected such that the input wave frequencies (A + B) and (A-B), respectively, fall within any of the frequency ranges described above. In a particularly preferred embodiment of the invention, the invention can be used for a superimposed output wave with a woofer or subwoofer range frequency by superimposing a plurality of input waves with a frequency in the ultrasonic range. In a particularly preferred embodiment of the invention, the above-described inventive realization can be used to manufacture woofers or subwoofers that can generate output sound waves in the range of 20Hz to 500Hz based on a superposition of input waves with significantly higher frequencies, such as mid-frequency, high-frequency or overtone, thereby significantly reducing the required size and energy input of the audio driver/wave generator/sounder that is required to generate said output sound waves. Such implementations have resulted in woofers and subwoofers that are substantially thinner, lighter, and can be manufactured at significantly lower cost than existing woofer/subwoofer systems, and also at some imaginable form factor (without the minimum size requirements previously associated with woofer and subwoofer systems).

Fig. 7 depicts an exemplary configuration for a plurality of driver/input wave generators configured to generate input waves for interference based on the teachings of the present invention. In the depicted embodiment, the device includes fixed surfaces 702 and 704, and a movable surface (e.g., a diaphragm surface) 706 located therebetween. In an embodiment, surfaces 702 and 704 may comprise electromagnetically charged surfaces or meshes, while surface 706 may be a permanent magnetic surface. Two preprocessed input waves based on the teachings of the present invention may be applied on surfaces 702 and 706, respectively, as a result of which surface sets 702, 704 generate input wave 1, while surface sets 704, 706 generate input wave 2, and the interference or superposition of input waves 1 and 2 occurs within surface 704 itself.

Fig. 8 depicts an alternative exemplary configuration for a plurality of driver/input wave generators configured to generate input waves for interference based on the teachings of the present invention. The depicted embodiment includes four magnetic surfaces 802, 804, 806, and 808 arranged in parallel.

Surfaces 802 and 808 are fixed surfaces, while surfaces 804 and 806 are movable or diaphragm surfaces, respectively. Further, surfaces 802 and 804 may each include electromagnetically charged surfaces, or alternatively one of the two may include an electromagnetically charged surface and the other a permanent magnetic surface. Likewise, surfaces 806 and 808 may each comprise an electromagnetic tape dot surface, or one of the two may comprise an electromagnetically charged surface and the other a permanent magnetic surface. Two pre-processing input waves may be used for each of first surface set 802, 804 and second surface set 806, 808, respectively. Surface sets 802, 804 may be used to generate input wave 1, and surface sets 806, 808 may be used to generate input wave 2, such that interference/superposition of input wave 1 and input wave 2 occurs within the medium between surfaces 804 and 806.

FIG. 9 depicts an exemplary system implementing the present invention.

The computer system includes one or more processors 904, and at least one memory 906. The processor 904 is configured to execute program instructions, which may be a real processor or a virtual processor. It should be understood that the computer system 902 does not limit the scope of use or functionality of the described embodiments. The computer system 902 may include, but is not limited to, one or more general purpose computers, a programmable microprocessor, a microcontroller, an integrated circuit, optical processors, ASICs, FPGAs, SOCs, development/customization circuit boards, embedded devices, customization computers, DSPs, a/V power amplifier receivers, media boxes, smart watches, any other electronic device or equipment capable of implementing the steps of the methods of the present invention. Exemplary embodiments of the system 902 according to the present invention may include one or more of a server, a desktop, a laptop, a tablet, a smartphone, a mobile phone, a mobile communication device, a tablet, and a personal digital assistant. In one embodiment of the invention, the memory 906 may store software for implementing various embodiments of the invention. Computer system 902 may have additional components. For example, computer system 902 can include one or more channels 908, one or more input devices 910, one or more output devices 912, and storage 914. An interconnecting mechanism (not shown), such as a vehicle, controller, or network, interconnects the components of the computer system 902. In various embodiments of the invention, operating system software (not shown) provides an operating environment for various software executing within computer system 902 using processor 904 and manages the various functions of the components of computer system 902.

channel 908 allows communication of a communication medium to various other computing entities. The communication medium provides information such as computing instructions, or other data within the communication medium. Communication media includes, but is not limited to, wired or wireless methods implemented within an electrical, optical, radio frequency, infrared, acoustic, microwave, bluetooth, or other transmission medium.

Input device 910 may include, but is not limited to, a touch screen, keyboard, mouse, pen, handle, trackball, sound device, scanning device, or any other device that may provide input to computer system 902. In one embodiment of the invention, the input device 910 may be a sound card or similar device that receives audio input in either analog or digital form. Output devices 912 include, but are not limited to, a CRT, LCD, user interaction on an LED display, or any other display associated with a server, desktop, laptop, smartphone, mobile phone, mobile communication device, tablet, phablet, and personal digital assistant, printer, enunciator, CD/DVD reader, or any other device that provides output from computer system 902.

storage 914 may include, but is not limited to, magnetic disks, magnetic tapes, optical read-only disks, optical erasable disks, DVDs, any type of computer memory, magnetic strips, smart cards, printed barcodes, or any other transitory or non-transitory medium that can be used to store information and access computer system 902. In various embodiments of the invention, storage 914 may contain program instructions for implementing any of the embodiments described above.

In an embodiment of the invention, computer system 902 is part of a distributed network or part of a set of available cloud resources.

The present invention can be implemented in numerous ways, including as a system, as a method, as a computer program product, such as a computer readable storage medium or a computer network of program instructions, in communication with a remote location.

The present invention may apply to a computer program product for use with computer system 902. The methods described herein are typically implemented as a computer program product comprising a set of program instructions for execution by computer system 902 or other similar device. The set of program instructions may be a series of computer readable codes stored on a tangible medium, such as a computer readable storage medium (storage 914), for example, a floppy disk, a compact disk read only memory, a flash drive or hard drive, or transmitted to computer system 902 via a modem or other interface device based on a tangible medium, including, but not limited to, optical or analog channel 908. The present invention may be implemented as a computer program product in an intangible medium using wireless techniques, including but not limited to microwave, infrared, bluetooth, or other transmission techniques. These instructions may be pre-downloaded into the system or recorded on a storage medium such as a cd-rom, or arranged to be downloaded via, for example, the internet or a mobile telephone network. The series of computer readable instructions may embody all or part of the functionality previously described.

While exemplary implementations of the invention are described and depicted, for example, above, it is understood that the implementations are illustrative only. It will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims. Moreover, the illustrative disclosures of the invention may, where appropriate, be made in the absence of any element not specifically disclosed herein and with specific consideration of the specific embodiments, be intended in the absence of any element not specifically disclosed herein.