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Super-resolution signal estimation method based on compressive sensing

A super-resolution and signal estimation technology, applied in electrical components, code conversion, etc., can solve problems such as error, estimated value deviation from grid points, difficulty in high-precision estimation, etc., to achieve the effect of strong practical operability

Active Publication Date: 2018-08-31
UNIV OF ELECTRONICS SCI & TECH OF CHINA
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

But most of the time, the estimated value deviates from the grid point, which causes unavoidable errors, making it very difficult to estimate with high precision

Method used

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  • Super-resolution signal estimation method based on compressive sensing
  • Super-resolution signal estimation method based on compressive sensing
  • Super-resolution signal estimation method based on compressive sensing

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Embodiment Construction

[0029] The technical solution of the present invention will be described in detail below in conjunction with the embodiments and the drawings.

[0030] The implementation of the present invention can be applied to the problem of signal spectrum estimation. For the convenience of description, the following embodiments will establish the following system model for description.

[0031]

[0032] In simulation, an initial grid point θ needs to be preset (0) , Uniformly set to θ (0) =(2π / N)[0 1… N-1] T , And take N=64, termination condition ∈=10 -6 . Where frequency {ω k } Is uniformly generated in [0,2π), and the complex amplitude value {α k } Is generated on the complex unit circle. The measured value y passes from y T Randomly select M values ​​to get. And suppose T=64, K=3, M=20, that is, it is necessary to sample a signal with a length of 64 to obtain a sampled signal with a length of 20, and accurately estimate 3 frequencies from this sampled signal {ω k } And the original signal...

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Abstract

The invention belongs to the field of signal detection and estimation, and in particular relates to a super-resolution algorithm for jointly estimating a dictionary and a sparse signal under the premise that the detected signal is sparse. The invention provides a method for recovering and estimating a signal under the condition of noise with only a small amount of signal sampling, and provides high precision guarantee. The present invention can accurately estimate the dictionary and the sparse signal by only using a small amount of signals by using the compressed sensing technology. Through joint estimation, errors due to grid mismatch can be eliminated, thereby achieving high-precision estimation.

Description

Technical field [0001] The present invention belongs to the field of signal detection and estimation, and particularly relates to a super-resolution algorithm for joint estimation of a dictionary and a sparse signal on the premise that the detected signal has sparseness. Background technique [0002] In traditional signal processing, the sampling rate of the signal is required to be at least twice the highest frequency of the signal, that is, the Nyquist sampling rate. In the case of low signal frequency, this requirement for sampling frequency is easily achieved. However, in the realization of many applications, the frequency of the signal is very high. In this case, it is very difficult to obtain the Nyquist sampling rate. Compressed sensing is a technology that can break through the Nyquist sampling rate. It samples the signal at a sampling rate far lower than the Nyquist sampling rate and restores the signal accurately. In order to achieve this goal, compressed sensing tech...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H03M7/30
Inventor 方俊崔星星李靖
Owner UNIV OF ELECTRONICS SCI & TECH OF CHINA