Frequency domain GFDM (Generalized Frequency Division Multiplexing) low-complexity minimum mean square error receiving method and receiver

A technology with minimum mean square error and low complexity, applied in multi-frequency code systems, baseband systems, digital transmission systems, etc., and can solve problems such as inapplicability of the AWGN channel model

Active Publication Date: 2018-06-22
TIANJIN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

However, existing low-complexity algorithm receiver design schemes (such as receivers based on Gabor transform [8] and a two-step MMSE receiver [6] ) only considers the most ideal situation, assuming that the channel is

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  • Frequency domain GFDM (Generalized Frequency Division Multiplexing) low-complexity minimum mean square error receiving method and receiver
  • Frequency domain GFDM (Generalized Frequency Division Multiplexing) low-complexity minimum mean square error receiving method and receiver
  • Frequency domain GFDM (Generalized Frequency Division Multiplexing) low-complexity minimum mean square error receiving method and receiver

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Embodiment 1

[0038] A frequency domain GFDM low complexity minimum mean square error receiving method, the receiving method comprises the following steps:

[0039]101: Construct K modulation vectors, perform Fourier transform on the channel matrix H to obtain a diagonal matrix, construct a filter matrix according to a given filter, and then construct a modulation matrix, and perform Fourier transformation on the modulation matrix to obtain the matrix

[0040] 102: Initialize a large matrix of all zeros, and then divide the large matrix into K 2 A sub-block Φ of size M×M i,j ;

[0041] 103: Perform two-dimensional Fourier transform on the first K / 2+1 sub-blocks on the main diagonal and the first K / 2 sub-blocks on the secondary diagonal, and then determine all other sub-blocks Φ according to the symmetric relationship i,j The two-dimensional Fourier transform result of ;

[0042] 104: For the result of two-dimensional Fourier transform Find the inverse transformation, for each sub-blo...

Embodiment 2

[0055] The scheme in embodiment 1 is further introduced below in conjunction with specific examples and calculation formulas, see the following description for details:

[0056] 201: system input;

[0057] Among them, the number of subcarriers is defined as K, the number of subsymbols as M, the filter as g, the channel matrix of the frequency selective channel as H, and the noise variance of the receiver as The GFDM receiving block of KM×1 is r, let N=KM.

[0058] 202: Construct K modulation vectors ε k , do DFT on the channel matrix H to obtain the diagonal matrix Construct the filter matrix G according to the given filter g, and then construct the modulation matrix A, and perform DFT on the modulation matrix A to obtain the matrix

[0059] Among them, ε k =diag[1,e j2πk / K ,...,e j2πk(N-1) / K ],k=0,...,K-1, (·) CT represents the conjugate transpose, is the N-point discrete Fourier transform matrix, defined as:

[0060]

[0061] Among them, W=exp(2*pi*i*x / N) / ...

Embodiment 3

[0083] The following is combined with specific mathematical formulas, examples, Figure 1-Figure 9 The scheme in embodiment 1 and 2 is further introduced, see the following description for details:

[0084] 1. GFDM system model;

[0085] 1) Transmitter model;

[0086] Assume that the GFDM system model contains K subcarriers and M subsymbols. Such as figure 1 As shown, after the binary source signal of length N=KM is mapped to the QAM constellation, a complex sequence d of length N is generated.

[0087] After serial-to-parallel conversion, the complex sequence d is divided into K segments of length M where d k =[d k (0),...,d k (M-1)] T . Then, each d k Do K-point upsampling to generate an upsampling sequence of length N Can be expressed as:

[0088]

[0089] Among them, δ(n) represents the unit shock function. Afterwards, the upsampling sequence with the shaping filter g=[g(0),...,g(N-1)] T Do circular convolution, then use subcarrier e j2πkn / K Do up-con...

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Abstract

The invention discloses a frequency domain GFDM (Generalized Frequency Division Multiplexing) low-complexity minimum mean square error receiving method and a receiver. The method comprises the following steps: initializing an all-zero large matrix, and then dividing the large matrix into a plurality of sub blocks phi(i,j); performing two-dimensional Fourier transformation on the previous K/2+1 subblocks on a primary diagonal line and the previous K/2 sub blocks on a secondary diagonal line, and then determining two-dimensional Fourier transformation results of all the other sub blocks phi(i,j) according to a symmetric relation; performing inverse transformation on the two-dimensional Fourier transformation results (as shown in the specification), and performing IDFT (Inverse Discrete Fourier Transformation) anti-diagonalization operation on each sub block (as shown in the specification) in an inverse transformation result to obtain an anti-diagonalization result psi(i,j); and acquiring a demodulation output signal (as shown in the specification) according to the anti-diagonalization result psi(i,j), a matrix (as shown in the specification), an N-point discrete Fourier transformation matrix FN and a GFDM receiving block. The receiver comprises a GFDM sending module for performing constellation labeling, series-parallel conversion and GFDM modulation on a signal; a modulated signal enters a frequency selectivity channel, and a channel delay and noise are added; and an MMSE (Minimum Mean Square Error) receiving module demodulates the signal, and finally acquires a demodulatedreceived signal.

Description

technical field [0001] The invention relates to multi-carrier modulation and demodulation technology, channel analysis, and receiver design, in particular to a frequency domain GFDM low-complexity minimum mean square error receiving method and receiver. Background technique [0002] The next-generation mobile communication system needs to be compatible with more scenarios, such as Machine Type Communication (MTC) [1] , Tactile Internet [2] etc., need to face the explosive transmission of a large amount of information; the Internet of Things (the Internet of Things) system and vehicle-to-vehicle (V2V) [3] etc. require lower latency. As the mainstream modulation method in the past decade, the Orthogonal Frequency Division Multiplexing (OFDM) system has gradually exposed its limitations, such as large transmission delay, high out-of-band radiation, and sensitivity to frequency offset. In comparison, the generalized frequency division multiplexing (Generalized Frequency Divis...

Claims

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Application Information

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IPC IPC(8): H04L25/02H04L27/26H04B1/06H04L27/36
CPCH04B1/06H04L25/0242H04L25/0256H04L27/2628H04L27/265H04L27/362
Inventor 黄翔东王惠杰黎鸣诗马欣
Owner TIANJIN UNIV
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