阅读说明：本技术 一种未编码mpsk信号的低复杂度多符号非相干检测方法 (Low-complexity multi-symbol incoherent detection method for uncoded MPSK (Multi-phase Shift keying) signal ) 是由 张高远 李海琼 韩瑽琤 马聪芳 唐杰 宋欢欢 文红 张晓辉 冀保峰 王雨凡 黄旭 于 2021-07-29 设计创作，主要内容包括：一种未编码MPSK信号的低复杂度多符号非相干检测方法,接收端的检测器采用的检测方法包括以下步骤：S1：对接收信号进行匹配滤波采样后得到离散接收样值序列；S2：对的连续相位空间进行量化,得出量化集合；S3：在第k个符号周期内,对量化集合给出的每个相位值,利用离散接收样值序列和16个扩频码序列计算相干度量值,比较16个相干度量值后得出最大度量值,并找出与其对应的扩频码序列,形成集合；S4：在多个符号周期内,利用S3中得出的集合,计算所有的非相干度量值,挑选出最大非相干度量值,最大非相干度量值对应的扩频序列作为判决结果。本方法具有计算复杂度低,鲁棒性强,可靠性高的特点。(A low-complexity multi-symbol incoherent detection method for an uncoded MPSK signal, wherein a detection method adopted by a detector at a receiving end comprises the following steps: s1: carrying out matched filtering sampling on a received signal to obtain a discrete received sample value sequence; s2: quantizing the continuous phase space to obtain a quantization set; s3: in the first place k In each symbol period, calculating a coherence metric value for each phase value given by the quantization set by using a discrete receiving sample value sequence and 16 spread spectrum code sequences, comparing the 16 coherence metric values to obtain a maximum metric value, and finding out a spread spectrum code sequence corresponding to the maximum metric value to form a set; s4: in a plurality of symbol periods, the set obtained in S3 is used to calculate all the non-coherence degree values, the maximum non-coherence degree value is selected, and the spread spectrum sequence corresponding to the maximum non-coherence degree value is used as a judgmentAnd (6) determining the result. The method has the characteristics of low calculation complexity, strong robustness and high reliability.)

1. A low-complexity multi-symbol incoherent detection method of uncoded MPSK signals, a sending end groups binary bit sequences generated by an information source, each group comprises 4 bit positions, each group has 16 spread spectrum code sequences for selection after being subjected to direct sequence spread spectrum modulation with the chip sequence length of 16, each complex chip is subjected to radio frequency modulation and pulse forming of MPSK to form a sending symbol of a period, and the continuous form sending signal of the period comprising 16 chip periods is sent to a channel through a radio frequency antenna; random amplitude fading and random phase offset theta are introduced in the channel transmission process, wherein the theta is assumed to obey uniform distribution between [0,2 pi ], and a receiving end detects a received signal; the method is characterized in that: the detection method adopted by the detector at the receiving end comprises the following steps:

s1: obtaining discrete receiving sample value sequence r after carrying out matched filtering sampling on receiving signal^(k)；

S2: to [0,2 pi ]]Is quantized to obtain a quantization set Λ having an order L, i.e., Λ ═ θ₁,θ₂,…θ_L}；

S3: in the k-th symbol period, the symbol length is equal to { theta ] in S2₁,θ₂,…θ_LEach phase value given, using the discrete received sample sequence r in S1^(k)And 16 spreading code sequences s_yY is more than or equal to 1 and less than or equal to 16, 16 coherent metric values are calculated, the maximum metric value is obtained after 16 coherent metric values are compared, and the corresponding spread spectrum code sequence is found out to form a set For the ith phase quantization value corresponding to the kth cycle,the spread spectrum code sequence corresponding to the maximum metric value, wherein the set has L elements in total;

s4: using the values obtained in S3 in a plurality of symbol periodsAnd calculating a plurality of non-coherence metric values, and selecting the maximum non-coherence metric value, wherein the spread spectrum sequence corresponding to the maximum non-coherence metric value is used as a judgment result.

2. A method of low complexity multi-symbol non-coherent detection of an uncoded MPSK signal as claimed in claim 1, characterized by: the step S1 specifically includes:

in the discrete received sample sequence obtained after the matched filtering sampling is carried out on the received signal, the discrete received sample sequence corresponding to the kth symbol period is as follows:i.e., contains 16 discrete samples, of which,|h_k,ji andrespectively representing the amplitude and phase, s, of the fading caused by the channel transmission^(k)A spreading code sequence indicating the kth symbol period of the transmitting end,s^(k)from 16 spreading chip sequences s_yY is more than or equal to 1 and less than or equal to 16_k,iIs discrete, circularly symmetric, has a mean of zero and a variance of sigma²Complex gaussian random variable, | h_k,jI andare all equal to eta_k,jStatistical independence, h^(k)And remain unchanged in each data frame.

3. A method of low complexity multi-symbol non-coherent detection of an uncoded MPSK signal as claimed in claim 1, characterized by: the step S2 specifically includes:namely, it isWe quantize uniformly the continuous phase space.

4. A method of low complexity multi-symbol non-coherent detection of an uncoded MPSK signal as claimed in claim 1, characterized by: the step S3 specifically includes the following sub-steps:

s31: in the k-th symbol period, for { theta }₁,θ₂,|θ_LEach phase value theta of_iI is 1. ltoreq. L, based on the received sample sequence r in S1^(k)And the existing 16 spreading code sequences s_yY is more than or equal to 1 and less than or equal to 16, and theta is calculated_iCorresponding 16 coherence metrics:(s_y)^*denotes s_yConjugation of (1);

s32: find and theta₁,θ₂,…θ_LEach phase value theta_iAnd recording a corresponding spreading code sequence corresponding to the maximum coherence metric value:

5. a method of low complexity multi-symbol non-coherent detection of an uncoded MPSK signal as claimed in claim 1, characterized by: the step S4 specifically includes the following sub-steps:

s41: using the decision result obtained in S3 in N consecutive symbol periodsCalculating a non-coherent metric valueWherein R is^(k)＝{r^(k),r^(k+1),…r^(k+N-1)}，R^(k)Representing the received sample sequence over N consecutive symbol periods given in S1, representing candidate transmit spreading code sequences derived over N consecutive symbol periods,to representThe kth symbol period is the starting period of N consecutive symbol periods;

s42: finding maximum non-coherence measure correspondencesAs a final decision result:

Technical Field

The invention belongs to the technical field of wireless communication, and particularly relates to a low-complexity multi-symbol incoherent detection method for an uncoded MPSK signal.

Background

At present, in order to accelerate the construction pace of modern cities, improve the urban treatment efficiency and the quality of life of citizens, the state continuously issues policies, the supporting force for the construction of smart cities is increased, and the development of the smart cities is promoted. The world second major market research institute marks and marks published reports that the world smart city market size was 3080 billion dollars in 2018, the number is expected to grow to 7172 billion dollars by 2023, and the annual composite growth rate in the forecast period (2018 and 2023) is 18.4%.

Along with the continuous promotion of wisdom city construction process, novel wisdom city gradually gets into masses' field of vision. The novel smart city presents four new characteristics on the construction and the service: comprehensive and thorough perception, broadband ubiquitous interconnection, intelligent fusion application and human-oriented sustainable innovation. The wide-spread information-aware network is the basis of the smart city. Information resources owned by any city are massive, and in order to acquire city information more timely and comprehensively and judge the city condition more accurately, a central system of a smart city needs to have the capability of various elements of the city to exchange required information. The information perception network of the novel smart city can cover all dimensions of time, space, objects and the like of the city and can collect information with different attributes, different forms and different densities.

The Internet of things comprises a sensing layer, a network layer, a platform layer and an application layer. The perception layer at the bottom layer is the skin and five sense organs of the Internet of Things (IoT), is a link for connecting the physical world such as the smart city and the information world, and is responsible for identifying objects in the smart city, collecting data and primarily transmitting information. On the premise that the network layer accurately and timely transmits data, the accuracy of processing data by the application layer and the accuracy of data mining conclusions depend on the quality of the data of the perception layer. And the three basic characteristics of the internet of things are comprehensive perception, reliable transmission and intelligent processing. Therefore, the actual application value of the Internet of things system in the smart city is determined by the accuracy of the perception data, the perception layer is the core of the Internet of things, and the reliable transmission of the data of the perception layer is one of the most key technologies.

The IEEE802.15.4c protocol published in 2009 is a physical layer specification customized for china low-power short-range wireless personal area networks. Aiming at different speed requirements, the protocol provides two physical layer structures of Offset-quadrature Phase Shift Keying (O-QPSK) and multi-Phase Shift Keying (MPSK) for the China low-power short-distance wireless personal area network. The MPSK modulation physical layer has the best ability to provide a solid guarantee for reliable and fast transmission of the smart city sensing data. Therefore, the research on the MPSK signal strong robustness detection technology conforming to the characteristics of the wireless personal area network is one of the most basic starting points for ensuring that the sensing data accurately reaches the application layer, and is also one of the problems that the technology of the internet of things needs to be solved urgently when being applied to the smart city.

As shown in fig. 12, the IEEE802.15.4c protocol uses different modulation schemes and data transmission rates on different carrier frequency bands. As shown in fig. 13, the 780MHz band is shared by two modulation schemes of O-QPSK and MPSK, and there are 8 channels in the 779-787MHz band. Wherein, the channels 0-3 adopt O-QPSK modulation mode, and the channels 4-7 adopt MPSK modulation mode. The modulation mode of the content of the invention adopts MPSK modulation, and the carrier frequency adopts the maximum frequency on the 780MHz frequency band, namely 786 MHz;

as shown in fig. 14, the IEEE802.15.4c physical layer protocol data unit (PPDU) is mainly composed of three parts, a Synchronization Header (SHR), a physical layer header (PHR), and a physical layer (PHY) payload. The SHR of the PPDU includes two parts, a preamble and a Start of Frame (SFD), which primarily function to allow a receiving device to synchronize and lock onto a bitstream. The preamble field is 4 bytes, and is 32 all-zero bits. The Start of Frame Delimiter (SFD) field takes 1 byte and its value is fixed to 0xA7, indicating the start of a physical frame. The PHR field of the PPDU takes 1 byte. Wherein, the lower 7 bits represent the frame length, and the value is the length of the physical frame load, so the length of the physical frame load cannot exceed 127 bytes; the upper 1 bit is a reserved bit. The PHY payload of a PPDU, also known as a physical layer service data unit (PSDU), is variable in length and is typically used to carry Medium Access Control (MAC) frames;

as shown in fig. 15, the transmitting end sequentially processes binary data from the PPDU through modulation and spreading functions, starting from a Preamble (Preamble) field in fig. 14 and ending at the last byte of the PSDU. The lower 4 bits of each byte of the PPDU are mapped into a data symbol, the upper 4 bits are mapped into the next data symbol, and each data symbol is mapped into a pseudo random (PN) chip sequence with the length of 16;

as shown in fig. 1, in the 780MHz band, the MPSK physical layer contains 4 bits in each data symbol period. Firstly, 4 bits are directly spread spectrum modulated with a chip sequence length of 16, and 16 kinds of spread spectrum code sequences with a length of 16 can be selected. Then, the formed 16 chips in complex form are subjected to radio frequency modulation and pulse shaping of MPSK one by one and are sent to a channel through a radio frequency antenna.

The existing research on the IEEE802.15.4c protocol signal detection technology is mostly concentrated on an O-QPSK modulation physical layer, but the research on the MPSK modulation physical layer is rarely involved, so that the method is not suitable for the high-speed development of a novel smart city, and the situation of incomplete communication is caused. The depth and the breadth of the application of the internet of things technology in the novel smart city in China are limited to a certain extent.

Disclosure of Invention

In order to solve the defects of the prior art, the invention aims to provide a low-complexity multi-symbol incoherent detection method for an uncoded MPSK signal, which has the characteristics of low computational complexity, strong robustness and high reliability.

In order to realize the technical purpose, the adopted technical scheme is as follows: a low-complexity multi-symbol incoherent detection method of uncoded MPSK signals, a sending end groups binary bit sequences generated by an information source, each group comprises 4 bit positions, each group has 16 spread spectrum code sequences for selection after being subjected to direct sequence spread spectrum modulation with the chip sequence length of 16, each complex chip is subjected to radio frequency modulation and pulse forming of MPSK to form a sending symbol of a period, and the continuous form sending signal of the period comprising 16 chip periods is sent to a channel through a radio frequency antenna; random amplitude fading and random phase offset theta are introduced in the channel transmission process, wherein the theta is assumed to obey uniform distribution between [0,2 pi ], and a receiving end detects a received signal; the detection method adopted by the detector at the receiving end comprises the following steps:

s1: obtaining discrete receiving sample value sequence r after carrying out matched filtering sampling on receiving signal^(k)；

S2: to [0,2 pi ]]Is quantized to obtain a quantization set Λ having an order L, i.e., Λ ═ θ₁，θ₂，…θ_L}；

S3: in the k-th symbol period, the symbol length is equal to { theta ] in S2₁，θ₂，…θ_LEach phase value given byUsing a sequence r of discrete received samples in S1^(k)And 16 spreading code sequences s_yY is more than or equal to 1 and less than or equal to 16, 16 coherent metric values are calculated, the maximum metric value is obtained after 16 coherent metric values are compared, and the corresponding spread spectrum code sequence is found out to form a set For the ith phase quantization value corresponding to the kth cycle,the spread spectrum code sequence corresponding to the maximum metric value, wherein the set has L elements in total;

s4: using the values obtained in S3 in a plurality of symbol periodsAnd calculating all the non-coherence metric values, and selecting the maximum non-coherence metric value, wherein the spread spectrum sequence corresponding to the maximum non-coherence metric value is used as a judgment result.

Further, the step S1 specifically includes:

in the discrete received sample sequence obtained after the matched filtering sampling is carried out on the received signal, the discrete received sample sequence corresponding to the kth symbol period is as follows:i.e., contains 16 discrete samples, of which,|h_k，ji andrespectively representing the amplitude and phase, s, of the fading caused by the channel transmission^(k)A spreading code sequence indicating the kth symbol period of the transmitting end,s^(k)from 16 spreading chip sequences s_yY is more than or equal to 1 and less than or equal to 16_k，iIs discrete, circularly symmetric, has a mean of zero and a variance of sigma²Complex gaussian random variable, | h_k，jI andare all random, unknown, constant, and all match η_k，jStatistical independence, h^(k)And remain unchanged in each data frame.

Further, the step S2 specifically includes:

namely, it isM is more than or equal to 0 and less than or equal to L-1, and the continuous phase space is uniformly quantized.

Further, the step S3 specifically includes the following sub-steps:

s31: in the k-th symbol period, for { theta }₁，θ₂，…θ_LEach phase value theta of_iI is 1. ltoreq. L, based on the received sample sequence r in S1^(k)And the existing 16 spreading code sequences s_yY is more than or equal to 1 and less than or equal to 16, and theta is calculated_iCorresponding 16 coherence metrics:(s_y)^*denotes s_yConjugation of (1);

s32: find and theta₁，θ₂，…θ_LEach phase value theta_iAnd recording a corresponding spreading code sequence corresponding to the maximum coherence metric value:

further, the step S4 specifically includes the following sub-steps:

s41: using the decision result obtained in S3 in N consecutive symbol periodsCalculating a non-coherent metric valueWherein R is^(k)＝{r^(k)，r^(k+1)，…r^{(k +N-1)}}，R^(k)Representing the received sample sequence over N consecutive symbol periods given in S1. Representing candidate transmit spreading code sequences derived over N consecutive symbol periods,to representThe kth symbol period is the starting period of N consecutive symbol periods;

s42: finding maximum non-coherence measure correspondencesAs a final decision result:

the invention has the beneficial effects that:

the low-complexity multi-symbol incoherent detection method for the uncoded MPSK signal has the characteristics of high reliability, strong robustness and low calculation complexity. The concrete points are as follows:

compared with an ideal coherent detection scheme, the scheme provided by the invention has the advantages of low performance loss and strong robustness to phase deviation. Especially under the condition of low signal-to-noise ratio, the traditional coherent detection has become very difficult to estimate and track the random parameters (such as random phase) introduced by channel transmission.

Compared with a multi-symbol incoherent detection scheme in a violent search form, the implementation complexity is greatly reduced. The complexity of the implementation of the traditional brute force search form multi-symbol incoherent detection scheme is exponentially increased with the length N of an observation symbol interval. Even if N is 2, 16 pairs are required²Metric value calculations and comparisons are performed for 256 candidate sequences. The multi-symbol detection scheme provided by the invention has the advantages that the complexity is independent of the length of an observation symbol interval and only dependent on the order L of a random parametric quantization set, and the complexity is greatly reduced.

The detection scheme provided by the invention has excellent performance and can completely meet the performance requirement specified in the IEEE 80215.4c protocol.

Drawings

FIG. 1 is a diagram of a data spreading mapping mode of an MPSK physical layer;

FIG. 2 is a graph of BER performance of the detection method of the present invention at different quantization orders;

FIG. 3 is a SER performance graph of the detection method of the present invention at different quantization orders;

FIG. 4 is a graph of PER performance for the detection method of the present invention at different quantization orders;

FIG. 5 is a plot of phase-bias robustness BER, where the phase obeys the wiener process θ_x+1＝θ_x+ Δ x, Δ x are a Gaussian random variable with a mean value of zero, θ₁A uniform distribution is obeyed between (- π, π). Fig. 5 is a simulation result when the standard deviation of Δ x takes different values. In the result, the quantization order of the detection method is taken as L-4;

FIG. 6 is a SER diagram of phase-shift robustness, with simulation parameters set in the same manner as in FIG. 5;

fig. 7 is a graph of phase offset robustness PER, with simulation parameters set in the same manner as in fig. 5;

fig. 8 is a diagram of the phase-offset robust BER, the phase is set in the same way as in fig. 5, but the quantization order is L-6;

FIG. 9 is a SER diagram of phase-shift robustness, with simulation parameters set in the same manner as in FIG. 8;

fig. 10 is a graph of phase offset robustness PER, with simulation parameters set in the same manner as in fig. 8;

fig. 11 is a flowchart of the operation of the communication system in the embodiment of the present invention;

FIG. 12 is a diagram of the basic parameter characteristics of two frequency bands of the physical layer of the IEEE802.15.4 protocol;

FIG. 13 is a channel structure diagram of the physical layer of the IEEE802.15.4 protocol;

FIG. 14 is a diagram of an IEEE802.15.4 protocol physical layer frame structure;

FIG. 15 is a diagram of a physical layer data modulation process of the 786MHz band of the IEEE802.15.4 protocol

Detailed Description

The following specific examples are given to further clarify, complete and detailed the technical solution of the present invention. The present embodiment is a preferred embodiment based on the technical solution of the present invention, but the scope of the present invention is not limited to the following embodiments.

This embodiment is described by taking an IEEE802.15.4 system as an example, and its communication environment is 780MHz band, the carrier center frequency of the channel is 786MHz, the data length of the PSDU is 22 bytes, and the chip transmission rate is 1 × 10⁶chip/s, the modulation mode is MPSK.

As shown in fig. 11, at the transmitting end, the working process of the system is as follows: the transmitting end groups binary bit sequences generated by a source, each group comprises 4 bits, firstly, direct sequence spread spectrum modulation with the length of a chip sequence of 16 is carried out on the 4 bits, and 16 kinds of spread spectrum code sequences with the length of 16 can be selected. Each group forms a transmission symbol of a period after MPSK spread spectrum modulation and pulse shaping, the period comprises a continuous form transmission signal of 16 chip periods, and the transmission signal is transmitted to a channel through a radio frequency antenna. Random amplitude fading and random phase offset theta are introduced during channel transmission, where theta is assumed to be uniformly distributed between 0 and 2 pi.

After receiving the signal, the receiving end detects the signal according to the method of the invention, and the specific process is as follows: a low-complexity multi-symbol incoherent detection method of an uncoded MPSK signal is characterized in that: the detection method adopted by the detector comprises the following steps:

s1: obtaining discrete receiving sample value sequence r after carrying out matched filtering sampling on receiving signal^(k)；

S2: to [0,2 pi ]]Is quantized to obtain a quantization set Λ having an order L, i.e., Λ ═ θ₁，θ₂，…θ_L}；

S3: in the k-th symbol period, the symbol length is equal to { theta ] in S2₁，θ₂，…θ_LEach given phase value is given by a sequence of discrete received samples and 16 spreading code sequences S in S1_yAnd y is more than or equal to 1 and less than or equal to 16, and 16 coherent metric values are calculated in total. Comparing 16 coherent metric values to obtain maximum metric value and finding out the corresponding spread spectrum code sequenceForm a collectionThere are a total of L elements in the set; i.e. each quantized value theta in the set a during each symbol period_iFinding out a corresponding spreading sequence according to the maximum coherence measureA total of L;

s4: using the values obtained in S3 in a plurality of symbol periodsAnd calculating all the non-coherence metric values, and selecting the spread spectrum sequence corresponding to the maximum non-coherence metric value as a judgment result.

The step S1 specifically includes:

in the discrete received sample sequence obtained after matched filtering sampling of the received signal, the k symbol periodThe sequences corresponding to the periods are:i.e. containing 16 discrete samples. Wherein the content of the first and second substances,|h_k，ji andrespectively representing the amplitude and phase, s, of the fading caused by the channel transmission^(k)A sequence of spreading chips representing the kth symbol period of the transmitting end,s^(k)is a sequence of 16 possible spreading chips s from that shown in fig. 1_yAnd y is more than or equal to 1 and less than or equal to 16. Eta_k，iIs discrete, circularly symmetric, has a mean of zero and a variance of sigma²Complex gaussian random variables. | h_k，jI andare all random, unknown, constant, and all match η_k，jAnd (4) performing statistical independence. h is^(k)Remains unchanged in each data frame, i.e., | h for all k_k，j|＝h，

The step S2 specifically includes:

namely, it isM is more than or equal to 0 and less than or equal to L-1, L is more than or equal to 2, and the continuous phase space is uniformly quantized. For example, when L ═ 2, Λ ═ {0, pi }; when the L is equal to 4,

the step S3 specifically includes the following sub-steps:

s31: in the k-th symbol period, for { theta }₁，θ₂，…θ_LEach phase value theta of_iI is 1. ltoreq. L, based on the received sample sequence r in S1^(k)And the existing 16 spreading code sequences s_yY is more than or equal to 1 and less than or equal to 16, and theta is calculated_iCorresponding 16 coherence metrics:(s_y)^*denotes s_yConjugation of (1).

S32: find and theta₁，θ₂，…θ_LEach phase value theta_iAnd recording the corresponding maximum coherence metric value and the corresponding spreading code sequence:

the step S4 specifically includes the following sub-steps:

s41: using the decision result obtained in S3 in N consecutive symbol periodsCalculating a non-coherent metric valueWherein R is^(k)＝{r^(k)，r^(k+1)，…r^{{k +N-1)}Denotes the received sample sequence within N successive symbol periods given in S1.Representing the candidate transmit spreading code sequences S32 derived over N consecutive symbol periods,to representN ≧ 2, where the kth symbol period is the starting period of N consecutive symbol periods.There are a total of L possibilities, for example, when L is 4, N is 2, can obtain a value ofAnd

s42: finding maximum non-coherence measure correspondencesAs a final decision result:

as shown in fig. 2 to 4, when the quantization order is increased, the multi-symbol detection method proposed by the present invention does not generate an error floor phenomenon, and increasing the quantization order can significantly improve a Packet Error Rate (PER). The test results show that a quantization order of 6 is sufficient to provide good performance.

In fig. 5 to 10, the simulation performance of the quantization order L-4 and L-6 under different standard deviations in the wiener process is shown. As can be seen from fig. 5 to 10, the detection performance of the present invention does not deteriorate as the standard deviation increases. This is because the phase estimation value can be dynamically adjusted along with the phase offset after the phase space quantization, so that the robustness is better.

The internal theory of the invention is described as follows:

for phase modulation, the decision region under a fading channel is independent of the amplitude scale due to the channel, since the transmitted information is carried on the phase of the transmitted chips. Therefore, only the influence of the phase can be considered.

The decision expression for a conventional GLRT can be written as:

where θ represents the random phase offset introduced by the channel transmission. Exchanging the order of the two maximums in (1) does not change the final decision result, so a GLRT decision expression equivalent to (1) can be obtained:

obviously, after equivalent transformation, the detection in equation (2) can be regarded as a coherent detection process, and thus can be performed symbol by symbol.

Since there are numerous elements in the random phase space, equation (2) needs to traverse each element in the continuous phase space, and thus the implementation complexity is still large. The complexity of realization can be reduced by quantizing the continuous phase space, and uniform quantization is the simplest to realize, and is particularly suitable for use in ieee802.15.4c. Therefore, the quantization result is considered here as { theta }₁，θ₂，…θ_L}。

After quantization is finished, the { theta ] is paired₁，θ₂，…θ_LEach phase value in the symbol-by-symbol coherent detection process can be used to find out the corresponding decision result, which is L in total. In order to further eliminate the influence of the random phase, after L judgment results are obtained, the L judgment results can be searched by using a non-coherent detection judgment method to obtain a final judgment result.

In summary, the low-complexity multi-symbol incoherent detection method for the uncoded MPSK signal provided by the invention has the characteristics of high reliability, strong robustness and low computational complexity. The concrete points are as follows: firstly, as can be seen from fig. 2 to 3, compared with the ideal coherent detection, the performance loss of the scheme provided by the invention is not large; as can be seen from fig. 5 to 10, the scheme of the present invention is very robust to phase deviation. In practical application, when the low signal-to-noise ratio is low, the traditional ideal coherent detection method is very difficult to estimate and track the random parameters (such as random phase) introduced by channel transmission. And compared with the traditional multi-symbol incoherent detection scheme in a violent search mode, the complexity is greatly reduced. The complexity of the implementation of the traditional brute force search form multi-symbol incoherent detection scheme is exponentially increased with the length N of an observation symbol interval. For example, even if N is 2, 16 pairs are required²Non-coherent metric calculations and comparisons were performed for 256 candidate sequences. The multi-symbol detection scheme provided by the invention has the advantages that the complexity is independent of the length of an observation symbol interval and only dependent on the order L of a random parametric quantization set, and the complexity is greatly reduced. For example, when N is 2 and L is 6, it is only necessary to perform the coherence metric value calculation L × 16 × N is 6 × 16 × 2 is 192 times and the non-coherence metric value calculation L is 6 times. The calculation of the coherence metric value only involves the operation of the correlation and real part, and has low complexity. While the number of calculations of the incoherent metric value decreases from 256 to 6, which is about 98%.

The principal features, principles and advantages of the invention have been shown and described above. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to explain the principles of the invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the invention as expressed in the following claims. The scope of the invention is defined by the appended claims and equivalents thereof.