Random Demodulation Method Based on Discrete Ellipsoid Sequence

A discrete ellipsoid sequence, random demodulation technology, applied in the field of compressed sampling, can solve the problems of mismatch of basis and large reconstructed signal of random demodulation system, and achieve the effect of avoiding spectrum leakage

Active Publication Date: 2019-04-12
HARBIN INST OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0028] In order to solve the problem that the existing random demodulation system uses the DFT matrix to sparsely represent the signal, there is a large error when the random demodulation system reconstructs the signal.

Method used

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  • Random Demodulation Method Based on Discrete Ellipsoid Sequence
  • Random Demodulation Method Based on Discrete Ellipsoid Sequence
  • Random Demodulation Method Based on Discrete Ellipsoid Sequence

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specific Embodiment approach 1

[0048] A random demodulation method based on a discrete ellipsoid sequence, comprising the following steps:

[0049] Step 1. Divide the frequency spectrum of the signal into L parts equally; the division method of the signal is as follows figure 2 As shown, the width of each portion is ω B ;

[0050] Step 2. Given the signal length N, define the normalized bandwidth W=ω B T s / 2, the normalized center frequency f c [l]=ω c [l]T s ; where T s is the sampling time interval; ω c [l] is the center frequency without normalization;

[0051] Step 3. Construct a set of L N×N-dimensional diagonal matrices E(f c [l]), whose main diagonal elements are where j represents the imaginary part of the complex number;

[0052]Step 4, construct a group of DPSS vectors according to the signal length N and the normalized bandwidth W, the number of vectors in a group of DPSS vectors is k, and the vector dimension is N × 1; and construct a DPSS matrix S according to the DPSS vector, its...

specific Embodiment approach 2

[0057] The relationship between L and the signal sparsity in dividing the spectrum of the signal into L parts as described in step 1 of the embodiment satisfies L∝10 2 K; where K is the frequency component.

[0058] Other steps and parameters are the same as those in Embodiment 1.

specific Embodiment approach 3

[0059] The number of vectors k=2NW+2 described in Step 4 of the embodiment.

[0060] Other steps and parameters are the same as those in the first or second embodiment.

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Abstract

The invention discloses a random demodulation method based on a discrete ellipsoid sequence, relates to the technical field of compressed sampling and specifically relates to the signal random demodulation method. The method is used for solving the problem of relatively large errors resulting from the fact that the existing random demodulation system carries out sparse representation to signals by utilizing a DFT (Discrete Fourier Transform) matrix, thus causing basic mismatch when the random demodulation system reconstructs the signals. The method comprises following steps of firstly, dividing the frequency spectrum of the signals into L parts; constructing a diagonal matrix E(fc[l]); constructing a set of DPSS vectors according to a signal length and a normalized bandwidth; then constructing a set of modulation DPSS matrixes psil; constructing a DPSS sparse representation matrix psi; obtaining the compressed sampling value of the signals according to a random demodulation sampling structure, thus obtaining a limited observing value y; carrying out signal recovery based on the limited observing value y by utilizing a compressed sensing signal recovery method, thus obtaining the original signals X. The method is applicable to signal random demodulation.

Description

technical field [0001] The invention relates to the technical field of compressed sampling, in particular to a signal random demodulation method. Background technique [0002] The random demodulation system is a new sampling structure based on Compressed Sensing (CS) to achieve compressed sampling and accurate reconstruction for sparse multi-frequency signals. The observed value of ˆ is accurately restored to the original signal. Random demodulation systems such as figure 1 shown. [0003] A continuous-time signal x(t) can be expressed as [0004] x(t)=∑ ω∈Λ a ω e -2πjωt ,t∈[0,1) [0005] Among them, a ω Indicates magnitude information. Λ is a set of integer frequencies, and satisfies [0006] [0007] The random demodulation system assumes that the number of frequencies of the input signal K=|Λ|, the Nyquist frequency of the signal ω N Satisfy K<<ω N , which satisfies the sparsity assumption. [0008] The input random sequence is defined as [0009] ...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M7/30
CPCH03M7/3062
Inventor 张京超付宁乔立岩彭喜元
Owner HARBIN INST OF TECH
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