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A Frequency Estimation Method for Signals with Shock Noise and Data Loss

An impact noise and data loss technology, applied in channel estimation, baseband systems, digital transmission systems, etc., can solve the problems of signal sample data loss, data transmission loss, sensor errors, etc., to improve the calculation speed and estimation accuracy, the method is simple , the effect of strong practicality

Active Publication Date: 2018-04-27
CHONGQING UNIV OF POSTS & TELECOMM
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Another problem that is often encountered in real life is the data loss problem caused by the failure of some useful signal samples to be collected due to sensor errors, loss of data transmission and other unknown factors.

Method used

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  • A Frequency Estimation Method for Signals with Shock Noise and Data Loss
  • A Frequency Estimation Method for Signals with Shock Noise and Data Loss
  • A Frequency Estimation Method for Signals with Shock Noise and Data Loss

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Embodiment Construction

[0032] Below in conjunction with accompanying drawing, the present invention will be further described:

[0033] see figure 1 , we take the superposition of multiple sine and cosine signals as an example to illustrate the specific implementation of the frequency estimation algorithm with data loss under impact noise.

[0034] 1) Assume that the time domain model of the signal is: Assume that the signal is composed of the superposition of sinusoidal signals with L frequencies

[0035]

[0036] w l ∈[0 2π) is the signal frequency to be estimated, a l is the unknown signal amplitude, N is the signal sample length, n(k) is the noise mixed in the useful signal.

[0037] Using matrix notation, the received signal can be re-expressed as:

[0038] y=Da+n

[0039] Among them, y=[y 1 ,...,y N ] T , a=[a 1 ,...,a N ] T , n=[n 1 ,...,n N ] T ,

[0040]

[0041] is a matrix containing all frequency components.

[0042] Using Fourier transform, in the frequency domain,...

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Abstract

A method for reconstructing a signal is provided. The method may include determining a first function indicative of the signal, and initializing a missing pattern relating to the first function, under the impulsive noise condition. Noise reduction can be performed by solving an estimation problem utilizing the sparse structure of the noise in the time domain. An iterative estimation of frequency and missing pattern in the case of the impulsive noise may be conducted as follows: during each of a plurality of iterations, conducting a frequency and a noise estimation of the signal at each successive iteration based on the initialized or a prior calculated missing pattern, and conducting a missing pattern estimation based on the estimated frequency and noise and the first function generating at least one of a reconstructing the signal based on the estimated frequency, the estimated missing pattern, and the estimated noise.

Description

technical field [0001] The invention relates to the technical field of signal frequency estimation, in particular to a method for estimating the frequency of a signal with data loss submerged in impact noise and recovering the impact noise and data loss. Background technique [0002] As early as the early 1820s, Fourier conducted in-depth research on harmonic analysis, and then Schuster, Blackman, Tukey and others successively proposed the periodogram method and autocorrelation spectrum estimation method, which laid the cornerstone of the spectrum estimation theory. However, due to the inherent shortcomings of these methods such as low resolution, large amount of calculation, and poor real-time performance, they are not practical in practice. Since the end of the 1950s, scholars have conducted extensive research on the problem of frequency estimation, and proposed many algorithms, such as sampling autocorrelation method, maximum likelihood method, Fourier decomposition metho...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): H04L25/02
CPCH04L25/022H04L25/0242H04B1/1027H04L27/0014
Inventor 刘宏清黎勇丁东艳
Owner CHONGQING UNIV OF POSTS & TELECOMM