CN106302301A - FBMC signal based on complex modulation send and receive method and device - Google Patents

Abstract

The present application discloses a FBMC signal transmission method based on complex modulation, which is characterized in that it includes: precoding the complex signal a to obtain X=Ta, where T is the precoding matrix, and T is the right singular value of the interference matrix I Conjugate rank conversion of matrix; use filter bank based multi-carrier FBMC modulation to send X. The application also discloses a corresponding FBMC signal receiving method, transmitter and receiver based on complex modulation. The application of the present application can solve the problem of inter-carrier interference faced when the FBMC modulation method is applied to a wireless communication system.

Description

Method and device for sending and receiving FBMC signals based on complex number modulation

technical field

The present application relates to the technical field of wireless communication, and in particular to a method and device for transmitting and receiving multi-carrier (FBMC) signals based on a filter bank of complex modulation.

Background technique

With the rapid development of the information industry, especially the growing demand from the mobile Internet and the Internet of Things (IoT, internet of things), it brings unprecedented challenges to future mobile communication technologies. For example, according to the report ITU-R M.[IMT.BEYOND 2020.TRAFFIC] of the International Telecommunication Union ITU, it can be predicted that by 2020, the growth of mobile traffic will increase by nearly 1,000 times compared to 2010 (4G era), and the number of user equipment connections will also increase. It will exceed 17 billion. As massive IoT devices gradually penetrate into mobile communication networks, the number of connected devices will become even more astonishing. In order to cope with this unprecedented challenge, the communication industry and academia have launched extensive research on fifth-generation mobile communication technology (5G), facing the 2020s. Currently, the ITU report ITU-RM.[IMT.VISION] has been discussing the framework and overall goals of 5G in the future, in which the demand outlook, application scenarios and various important performance indicators of 5G are described in detail. In response to the new requirements in 5G, the ITU report ITU-R M.[IMT.FUTURE TECHNOLOGY TRENDS] provides information related to 5G technology trends, aiming to address the significant improvement of system throughput, user experience consistency, scalability and Significant issues are IoT support, latency, energy efficiency, cost, network flexibility, support of emerging services, and flexible spectrum utilization.

Modulation waveforms and multiple access methods are important foundations of wireless communication air-interface (Air-interface) design, and 5G will be no exception. At present, Orthogonal Frequency Division Multiplexing (OFDM), a typical representative of multi-carrier modulation (Multi-carrier Modulation, MCM) technology family, is widely used in broadcast audio and video fields and civil communication systems. Among them, for example, the Long Term Evolution (LTE) system corresponding to the Evolved Universal Terrestrial Radio Access (E-UTRA) protocol formulated by the 3rd Generation Partnership Project (3rd Generation Partnership Project, 3GPP), the European Digital Video Broadcasting (Digital Video Broadcasting, DVB) and Digital Audio Broadcasting (Digital Audio Broadcasting, DAB), Very-high-bit-rate Digital Subscriber Loop (VDSL), IEEE802.11a/g Wireless Local Area Network (Wireless Local Area, WLAN), IEEE802.22 Wireless Regional Area Network (WRAN) and IEEE802.16 World Interoperability for Microwave Access (WiMAX), etc.

The basic idea of OFDM technology is to divide the broadband channel into multiple parallel narrowband sub-channels/subcarriers, so that the high-speed data stream transmitted in the frequency selective channel becomes the low-speed data transmitted on multiple parallel independent flat sub-channels flow, thus greatly enhancing the system's ability to resist multipath interference, and OFDM can use fast inverse Fourier transform (IFFT) and fast Fourier transform (FFT) to achieve simplified modulation and demodulation; secondly, by adding loop The prefix (Cyclic Prefix, CP) turns the linear convolution with the channel into a circular convolution, so that according to the nature of the circular convolution, when the CP length is greater than the maximum multipath delay of the channel, a simple single-tap frequency domain equalization can be used. Realize no inter-symbol interference (Inter-symbol Interference, ISI) reception, thereby reducing the processing complexity of the receiver. Although the modulation waveform based on CP-OFDM can well support the mobile broadband (MBB) service requirements in the 4G era, but because 5G will face more challenging and richer scenarios, this makes CP-OFDM more effective in 5G scenarios. There are great limitations or deficiencies, mainly in:

(1) Adding CP to resist ISI in 5G low-latency transmission scenarios will greatly reduce spectrum utilization, because low-latency transmission will greatly shorten the OFDM symbol length, and the length of CP is only subject to the impulse response of the channel , then the ratio of the length of the CP to the length of the OFDM symbol will be greatly increased, and such an overhead will result in a very large loss of spectrum efficiency, which is unacceptable.

(2) Strict time synchronization requirements will cause a lot of signaling overhead required for closed-loop synchronization maintenance in 5G IoT scenarios, and the strict synchronization mechanism makes the data frame structure inelastic, which cannot well support multiple services Different synchronization needs.

(3) OFDM uses rectangular pulse shaping (Rectangular Pulse) to make its frequency domain side lobe roll off very slowly, resulting in a large out-of-band leakage. Therefore, OFDM is very sensitive to frequency offset (Carrier Frequency Offset, CFO). However, 5G will have a lot of requirements for flexible access/sharing of fragmented spectrum. The high out-of-band leakage of OFDM greatly limits the flexibility of spectrum access or requires a large frequency domain guard band, thereby reducing the spectrum utilization. utilization rate.

The above shortcomings are mainly caused by the inherent characteristics of CP-OFDM itself. Although the impact of these shortcomings can be reduced by taking certain measures, it will increase the complexity of system design and cannot fundamentally solve the problem.

Because of this, as described in the ITU report ITU-R M.[IMT.FUTURE TECHNOLOGY TRENDS], some new waveform modulation technologies based on multi-carrier modulation are taken into consideration for 5G. Among them, the Filter Bank Multiple Carrier (FBMC) modulation technology based on the filter bank has become one of the hot research objects. Because it provides the degree of freedom in the design of the prototype filter, it can adopt the time-frequency domain focus ( Time/frequency Localization, TFL) is a good filter for pulse shaping the transmission waveform, so that the transmission signal can show a variety of better characteristics, including: no need for CP to combat ISI to improve spectral efficiency, lower out-of-band Leakage thus well supports flexible fragmented spectrum access and is insensitive to frequency offset. A typical FBMC system usually uses a technology called Offset Quadrature Amplitude Modulation (OQAM) to maximize spectral efficiency, so this technology is usually called FBMC/OQAM system, or OFDM /OQAM system. For how FBMC is used in digital communication, you can simply refer to an early document "Analysis and design of OFDM/OQAM systems based on filter bank theory", IEEE Transactions on Signal Processing, Vol.50, No.5, 2002.

FBMC has some good characteristics that OFDM does not have, so it has attracted attention in 5G research, but its inherent shortcomings make its application in wireless communication systems also have many challenges. researching. One of the obvious problems is that the system using FBMC must use FBMC/OQAM or OFDM/OQAM modulation in order to obtain the maximum spectrum efficiency. Carriers in this modulation mode only have real-number domain orthogonality rather than pure orthogonality, which means that the signal on each carrier will be interfered by the signal on the adjacent carrier. These interferences can be obtained by extracting the real and imaginary parts mode is eliminated at the receiving end. However, this imaginary part interference may not be completely eliminated in some scenarios, thereby reducing the reliability of the system. For example, when the channel has large frequency selectivity and time-varying characteristics, traditional equalization cannot guarantee that the interference is pure virtual, resulting in residual interference and system performance degradation. More seriously, when FBMC/OQAM is combined with multi-antenna transmission methods, it may bring disastrous consequences. For example, in the traditional STBC (Space-Time Block Coding, Space-Time Block Coding), the Alamouti code (Alamouti code) needs to transmit a complex signal, and due to the randomness of the imaginary part interference, the combination of Alamouticode and FBMC/OQAM is very difficult.

Contents of the invention

The invention provides a FBMC signal sending and receiving method based on complex number modulation to solve the problem of inter-carrier interference faced when the FBMC modulation mode is applied to a wireless communication system.

The application discloses a multi-carrier FBMC signal transmission method based on a complex modulated filter bank, comprising:

Perform precoding to the complex signal a to obtain X=Ta, where T is a precoding matrix, and T is the conjugate conversion rank of the right singular value matrix of the interference matrix I;

Send X using FBMC modulation.

Preferably, singular value decomposition is performed on the interference matrix I: I=WΣH ^H , where H ^H is a right singular value matrix, W is a left singular value matrix, Σ is a diagonal matrix, and the precoding matrix T=H.

Preferably, the precoding matrix further includes a power allocation matrix: T=HP, wherein the power allocation matrix P is a diagonal matrix.

Preferably, the interference matrix I is a matrix composed of interference coefficients between down-waves according to the FBMC modulation mode.

Preferably, the performing precoding is joint precoding performed on complex signals on multiple subcarriers in the frequency domain.

Preferably, sending X using FBMC modulation includes generating a baseband transmission signal according to formula (1):

Among them: (·) _{m, n} represent frequency-time points;

X _{m, n} is the complex modulation signal sent on the mth subcarrier of the nth symbol;

τ ₀ is the symbol period: τ ₀ =1/(v ₀ ); v ₀ is the interval between carriers;

g is a prototype filter function, and its time-domain impulse response length is K times _τ0 , and K is the overlap factor of the filter;

g _m,n (t) is the overall synthesis filter function that modulates X _m,n .

The present application also provides a transmitter, including: a precoding module and a sending module, wherein:

The precoding module is used to precode the complex signal a to obtain X=Ta, where T is a precoding matrix, and T is the conjugate rank conversion of the right singular value matrix of the interference matrix I;

The sending module is configured to send X using FBMC modulation.

The application also provides a multi-carrier FBMC signal receiving method based on a filter bank of complex modulation, including:

Use the FBMC demodulation method to detect the received signal;

Perform post-processing on the received signal to obtain Y=Uy, where y is the received signal, Y is the post-processed signal, U is the post-processing matrix, and U is the conjugate inverse rank of the left singular value matrix of the interference matrix I.

Preferably, singular value decomposition is performed on the interference matrix I: I=WΣH ^H , wherein H ^H is the right singular value matrix, W is the left singular value matrix, and Σ is a diagonal matrix, so that the post-processing matrix U=W ^H.

Preferably, the interference matrix I is a matrix composed of interference coefficients between down-waves according to the FBMC modulation mode.

Preferably, the performing post-processing is joint post-processing on the complex signals on multiple subcarriers in the frequency domain.

The present application also provides a receiver, including: a receiving module and a post-processing module, wherein:

The receiving module is used to detect received signals using FBMC demodulation;

The post-processing module is used to post-process the received signal to obtain Y=Uy, where y is the received signal, Y is the post-processed signal, U is the post-processing matrix, and U is the left singular value matrix of the interference matrix I The conjugate conversion rank of .

It can be seen from the above technical solution that in the FBMC system based on complex modulation in this application, the transmitting end precodes the complex signal by using the conjugate rank conversion of the right singular value matrix of the interference matrix, and the receiving end uses the left singular value of the interference matrix The conjugate rank conversion of the matrix performs post-processing on the received signal, so that the inter-carrier interference (ICI) can be successfully eliminated, thereby solving the obstacles encountered when applying the FBMC modulation method to the wireless communication system, and realizing the effective application of the FBMC technology. use.

Description of drawings

Fig. 1 is a kind of QAM-FBMC signal generation schematic diagram based on complex number of the present application;

FIG. 2 is a schematic diagram of a processing flow at a sending end in an embodiment of the present application;

FIG. 3 is a schematic diagram of a processing flow at a receiving end in an embodiment of the present application;

Fig. 4 is a bit error rate comparison chart of OFDM and QAM-FBMC;

FIG. 5 is a schematic diagram of the composition and structure of a preferred transmitter of the present application;

FIG. 6 is a schematic diagram of the composition and structure of a preferred receiver of the present application.

detailed description

In order to make the purpose, technical solutions and advantages of the present application clearer, the present application will be further described in detail below with reference to the accompanying drawings and examples.

Using the modulation method FBMC based on filter bank multi-carrier technology, signal waveforms with better time-frequency focus can be obtained, such as based on Isotropic Orthogonal Transform Algorithm (IOTA), based on Extended Gaussian function (Extended Gaussian Function, EGF) and prototype filter functions such as European PHYDYAS. FBMC uses a time-frequency domain focusing (Time/FrequencyLocalization, TFL) good shaping filter to perform pulse shaping (PulseShaping) on the signal of each subcarrier, which makes: 1) FBMC can greatly suppress multipath without CP The ISI brought by it can not only bring higher spectral efficiency and energy efficiency compared with OFDM, but also can obtain good reception reliability under a larger time error, thereby allowing non-strictly synchronized transmission; 2) benefit from good Frequency focus, FBMC can transmit signals in extremely narrow frequency resources and maintain very low out-of-band leakage, so that it can better suppress inter-carrier interference (ICI) caused by Doppler or phase noise. Therefore, FBMC has great potential in scenarios such as cognitive radio, fragmented frequency band access, and asynchronous transmission.

In order to obtain the highest spectral efficiency of FBMC, it is necessary to use offset quadrature amplitude modulation (OQAM: OffsetQuadrature Amplitude Modulation) technology, which is called FBMC/OQAM or OFDM/OQAM. In OQAM, a QAM symbol is divided into two signals, which are alternately modulated to the real part or imaginary part of a subcarrier and sent by interleaving in time. At the receiving end, if there is no influence of the channel, the real part and imaginary part of the signal on each subcarrier can be alternately extracted to restore the transmitted signal. However, the OQAM modulation method cannot avoid imaginary part interference between carriers, which limits its application in many scenarios, for example, Alamouti coding cannot be applied to OQAM modulation. For this reason, the application provides a kind of FBMC system (QAM-FBMC) based on complex signal, and its baseband transmission signal can be expressed as:

Among them: (·) _{m, n} represent frequency-time point (Frequency-time Point);

X _{m, n} is the complex modulation signal sent on the mth subcarrier of the nth symbol;

τ ₀ is the symbol period: τ ₀ =1/(v ₀ ); v ₀ is the interval between carriers;

g is a prototype filter function, and its time-domain impulse response length is generally K times τ ₀ , so that the time-domain waveforms of adjacent (2K-1) symbols will partially overlap, so K is usually also called a filter The overlapping factor (Overlapping Factor);

g _m,n (t) is an overall synthesis filter function (Synthesis Filter) for modulating X _m,n .

It can be seen that the symbol rate of the complex-based FBMC system is the same as that of the real-based OQAM system. FIG. 1 is a schematic diagram of a signal generation process of a QAM-FBMC system.

Due to the use of complex modulation, the interference between carriers cannot be eliminated by extracting real and imaginary parts. The interference coefficient between carriers can be defined as:

β _m,n,m',n' =<g _m,n |g _m',n' > (2)

Among them, <·|·> represents the inner product.

It can be seen from the above that the QAM-FBMC system is a non-orthogonal system, and the signal cannot be transmitted correctly without special processing.

Embodiment one:

In this embodiment, how to use the method proposed in this application to solve the interference problem in the complex FBMC system will be described in detail. This embodiment presents a method based on specific filter parameters, but the method can be extended to any other filter parameters.

Table 1 is the intercarrier interference coefficient in the OQAM system using the PHYDYAS filter.

Table 1

It should be noted that every two columns of data in Table 1 represent interference between two OQAM signals with an interval of τ ₀ /2. In this application, since the system uses a complex signal (QAM) with a period of _τ0 , the corresponding inter-carrier interference coefficient can be represented by Table 2.

Table 2: Illustration of QAM-FBMC system interference using PHYDYAS filter

As shown in Table 2, a carrier only interferes with the upper and lower adjacent carriers of the same symbol and the adjacent carriers of adjacent symbols. Suppose we only consider the case that a sub-band contains 12 sub-carriers in the frequency domain, and its transmitted signal is a _n =[a _1,n ,a _2,n,..., a _12,n ] ^T , then its received signal y _n =[y _1,n ,y _2,n,..., y _12,n ] ^T can be expressed as:

y _n ＝I _n a _n +I _n-1 a _n-1 +I _n+1 a _n+1 (3)

in:

Singular Value Decomposition (Singular Value Decomposition) on the interference matrix I _n can be obtained:

I _n =WΣH ^H (4)

Therefore, if we precode the transmitted signal using H and post-process it using W ^H at the receiving end, we can get Y _n :

Y _n ＝Σa _n +W ^H I _n-1 Ha _n-1 +W ^H I _n+1 Ha _n+1 (5)

Since Σ is a diagonal matrix, the inter-carrier interference (ICI) in a _n symbols is completely eliminated. Besides, based on Table 2, we know that I _n-1 =I _n+1 =γ(ID), where γ is a scalar and D is an identity matrix. Thus, formula (5) can be written as:

Y _n ＝Σa _n +γ(Σ-D)a _n-1 +γ(Σ-D)a _n+1 (6)

Since Σ is a diagonal matrix and D is an identity matrix, we know that the inter-carrier interference caused by a _n-1 and a _n+1 symbols is completely eliminated, leaving only ISI. Comparing formulas (3) and (6), through the method of precoding at the transmitting end and post-processing at the receiving end, this embodiment successfully eliminates all ICI, only remaining part of ISI, and a simple zero-forcing operation can eliminate the remaining ISI . The processing flow of the transmitting end in this embodiment is shown in FIG. 2 , and FIG. 3 shows a schematic flow chart of the receiving end.

According to Figure 2, the processing flow at the transmitter mainly includes:

1) performing complex modulation on the data bits to obtain a complex signal;

2) Perform subband-based precoding on the complex signal to obtain a precoded matrix X=Ta, where a is the complex signal, T is the precoding matrix, and T is the conjugate conversion rank of the right singular value matrix of the interference matrix I ;

3) performing FBMC modulation on the precoded matrix;

4) Send the modulated signal.

According to Figure 3, the processing flow at the receiving end mainly includes:

1) Use the FBMC demodulation method to detect the received signal;

2) post-processing the received signal to obtain Y=Uy, wherein, y is the received signal, Y is the post-processed signal, U is the post-processing matrix, and U is the conjugate conversion rank of the left singular value matrix of the interference matrix I;

3) performing zero-forcing interference elimination on the post-processed signal;

4) Perform data detection on the signal after the interference is eliminated.

Embodiment two:

In this embodiment we give some examples of power allocation.

In formula (6), each element of the diagonal matrix Σ adjusts the power of the signal on each subcarrier. Therefore, a direct power allocation principle is to normalize the power of all received signals, that is, use HΣ ^-1 to precode the signals. This method can effectively obtain a consistent received signal strength, but since the Σ ^-1 contains high energy components, this power allocation principle will lead to an increase in the transmitted power.

Another power distribution principle is power distribution based on the water injection principle. However, in the case of limited transmit power, the power allocation based on the water-filling principle will lead to a higher bit error rate on some carriers. Therefore, a more feasible approach is to avoid signaling on inefficient carriers. For example, assuming Σ = diag(Σ ₁ , Σ ₂ ,..., Σ ₁₂ ), and Σ ₁ ≥ Σ ₂ ... ≥ Σ ₁₂ , the precoding matrix can be HΣ ^-1 Π, where Π = diag( 1,1,...,0,...,0), while complex signals are only sent on non-zero carriers. In this way, the sending end concentrates the limited sending power on an efficient carrier to send signals, and bears a certain amount of rate loss.

Here, we give simulation results to demonstrate the performance of the method. The simulation system contains M=256 subcarriers, the repetition factor is K=4, the data block contains 14 complex FBMC symbols, the filter is a PHYDYAS filter, and the channel is ETU The channel, the speed is 50km/h, and the modulation method is QPSK. The simulation uses 12 subcarriers for performance evaluation, and the transmitter uses normalized transmit power. The principle of power allocation is that no signal is transmitted on 1 subcarrier: Π=diag(1,1,...,1,0), the receiving The terminal uses post-processing and zero-forcing method to eliminate interference. Figure 4 shows the BER curves using this method. For comparison, an OFDM system is introduced as a reference. It can be seen from the figure that the bit error rates of the two are consistent, which proves that the interference in the FBMC system is completely eliminated without causing performance loss. Note that at this time, the FBMC system has a rate loss of 1/12, while OFDM has a rate loss of 1/8 due to the CP, so FMBC can still maintain a high transmission efficiency.

Embodiment three:

This embodiment illustrates how to use the method of this application to implement Alamouti coding transmission in the FBMC system. Assuming that the system is a 2*1 MIMO system, on antenna port #1, an even number of QAM signals a=[a ₁ ,a _2,..., a _n ] are first precoded to obtain: y ₁ =Σ ^-1 Ha , then modulated by FBMC and sent on antenna port #1. On antenna port #2, Obtained by precoding: y ₂ =Σ ^-1 Hb, and then y ₂ is modulated by FBMC and sent.

At the receiving end, first perform FBMC demodulation on the received signal on the receiving antenna to obtain Y, then use W ^H for post-processing and use the zero-forcing rule for ISI interference cancellation, and obtain the post-processing signal: Q=[Q ₁ ,Q ₂ ,...,Q _n ], and perform Alamouti decoding (Alamouti decoding) according to Q.

Corresponding to the above method, the present application provides a transmitter, its composition structure is shown in Figure 5, the transmitter includes: a precoding module and a sending module, wherein:

The precoding module is used to precode the complex signal a to obtain X=Ta, where T is a precoding matrix, and T is the conjugate rank conversion of the right singular value matrix of the interference matrix I;

The sending module is configured to send X using FBMC modulation.

Corresponding to the above method, the present application provides a receiver, the composition of which is shown in Figure 6, the receiver includes: a receiving module and a post-processing module, wherein:

The receiving module is used to detect received signals using FBMC demodulation;

The post-processing module is used to post-process the received signal to obtain Y=Uy, where y is the received signal, Y is the post-processed signal, U is the post-processing matrix, and U is the left singular value matrix of the interference matrix I The conjugate conversion rank of .

The above is only a preferred embodiment of the application, and is not intended to limit the application. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the application should be included in the application. within the scope of protection.

Claims (12)

1. the multicarrier FBMC signaling method of a bank of filters based on complex modulation, it is characterised in that Including:

Complex signal a being carried out precoding and obtains X=Ta, wherein, T is pre-coding matrix, and T is interference matrix I The conjugation of right singular value matrix turn order；

FBMC modulation system is used to send X.

Method the most according to claim 1, it is characterised in that:

Interference matrix I is carried out singular value decomposition: I=W Σ H^H, wherein, H^HFor right singular value matrix, W is Left singular value matrix, Σ is diagonal matrix, described pre-coding matrix T=H.

Method the most according to claim 2, it is characterised in that:

Pre-coding matrix comprises power allocation matrix: T=HP further, and wherein, power allocation matrix P is diagonal angle Matrix.

4. according to the method described in any one of claims 1 to 3, it is characterised in that:

Described interference matrix I is the matrix constituted according to the interference coefficient of intercarrier under FBMC modulation system.

5. according to the method described in any one of claims 1 to 3, it is characterised in that:

The described precoding that carries out is the associating precoding carrying out the complex signal on subcarriers multiple on frequency domain.

6. according to the method described in any one of claims 1 to 3, it is characterised in that described use FBMC adjusts Mode processed sends X and includes according to formula (1) generation baseband transmission signal:

Wherein: ()_m,nRepresent frequency time point；

X_m,nFor the complex modulation signal sent on the m-th subcarrier of nth symbol；

τ₀For symbol period: τ₀=1/ (v₀)；v₀It it is the interval of intercarrier；

G is ptototype filter function, a length of τ of its time domain shock response₀K times, K be wave filter overlap because of Son；

g_m,nT () is modulation X_m,nOverall composite filter function.

7. a transmitter, it is characterised in that including: precoding module and sending module, wherein:

Described precoding module, obtains X=Ta for complex signal a is carried out precoding, and wherein, T is for prelisting Code matrix, T is that the conjugation of the right singular value matrix of interference matrix I turns order；

Described sending module, is used for using FBMC modulation system to send X.

8. the multicarrier FBMC signal acceptance method of a bank of filters based on complex modulation, it is characterised in that Including:

The detection of FBMC demodulation mode is used to receive signal；

The docking collection of letters number carries out post processing and obtains Y=Uy, and wherein, y is for receiving signal, and Y is the letter after post processing Number, U is post processing matrix, and U is that the conjugation of the left singular value matrix of interference matrix I turns order.

Method the most according to claim 9, it is characterised in that:

Interference matrix I is carried out singular value decomposition: I=W Σ H^H, wherein, H^HFor right singular value matrix, W is Left singular value matrix, Σ is diagonal matrix, makes described post processing matrix U=W^H。

10. according to the method described in claim 9 or 9, it is characterised in that:

Described interference matrix I is the matrix constituted according to the interference coefficient of intercarrier under FBMC modulation system.

11. methods according to claim 8 or claim 9, it is characterised in that:

It is described that to carry out post processing be the associating post processing carrying out the complex signal on subcarriers multiple on frequency domain.

12. 1 kinds of receivers, it is characterised in that including: receiver module and post-processing module, wherein:

Described receiver module, is used for using the detection of FBMC demodulation mode to receive signal；

Described post-processing module, is used for docking the collection of letters number and carries out post processing and obtain Y=Uy, and wherein, y is for receiving letter Number, Y is the signal after post processing, and U is post processing matrix, and U is being total to of the left singular value matrix of interference matrix I Yoke turns order.