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A time-interleaved undersampling method for multi-harmonic signals

A time-interleaved, harmonic signal technology, applied in spectrum analysis/Fourier analysis, frequency measurement devices, etc., can solve the problems of lack of stability of multi-harmonic signals, small number of samples, etc., and achieve fast sampling rate and sample number. Less, the effect of improving robustness

Active Publication Date: 2020-12-29
HARBIN INST OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0012] The present invention is to solve the problem that the existing multi-harmonic signal lacks a stable, small number of samples, and easy-to-implement under-sampling scheme

Method used

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  • A time-interleaved undersampling method for multi-harmonic signals
  • A time-interleaved undersampling method for multi-harmonic signals
  • A time-interleaved undersampling method for multi-harmonic signals

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specific Embodiment approach 1

[0022] Specific implementation mode one: refer to figure 1 Specifically explain this embodiment, a time-interleaved multi-harmonic signal undersampling method described in this embodiment, the method includes the following steps:

[0023] Step 1. After being shunted, the multi-harmonic signal y(t) enters two time-interleaved parallel sampling channels, respectively the main sampling channel and the time-interleaved sampling channel. The main sampling channel and the time-interleaved sampling channel both use the sampling rate f s The multi-harmonic signal is uniformly sampled, and the sampling value of the main sampling channel and the sampling value of the time-interleaved sampling channel are respectively obtained, where f s ≤f max , f max is the maximum frequency of the signal;

[0024] Step 2, estimating the frequency parameter minimum solution and the amplitude parameter from the sampling value of the main sampling channel;

[0025] Step 3: Using the parameter joint e...

specific Embodiment approach 2

[0026] Specific embodiment two: This embodiment is a further description of a time-interleaved multi-harmonic signal under-sampling method described in specific embodiment one. In this embodiment, the multi-harmonic signal y(t) is composed of K frequencies Parameter composition, expressed as:

[0027]

[0028] Among them, f k is the kth frequency parameter of the signal, c k (c k ≠0,c k ∈C) is the corresponding signal complex amplitude parameter, T is the duration of the signal, t represents time, and C is a constant.

[0029] In this embodiment, the formula 1 in j is the imaginary unit, and C is a constant.

specific Embodiment approach 3

[0030] Specific embodiment three: this embodiment is a further description of a time-interleaved multi-harmonic signal undersampling method described in specific embodiment one. In this embodiment, the sampling value of the main sampling channel is expressed as:

[0031]

[0032] In the formula, n and N are both positive integers,

[0033] The sampled value of the time-interleaved sampling channel, expressed as:

[0034]

[0035] In the formula, n' and N' are both positive integers, T e It is the staggered sampling time between the time interleaved sampling channel and the main sampling channel, 0e |≤1 / f max ,T s is the sampling interval,

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Abstract

The invention provides a time-interleaved multi-harmonic signal undersampling method, relates to the field of communication signal processing, and aims at solving the problem of lack of a stable undersampling scheme which is less in sample number and easy to implement for multi-harmonic signals. The multi-harmonic signals are shunted and then enter two time-interleaved parallel sampling channels which are the main sampling channel and the time-interleaved sampling channel. The main sampling channel and the time-interleaved sampling channel perform uniform sampling on the multi-harmonic signalsby the sampling rate fs so as to obtain the sampling value of the main sampling channel and the sampling value of the time-interleaved sampling channel, wherein fs<=fmax, and fmax is the maximum frequency of the signals. The frequency parameter minimum solution and the amplitude parameter are estimated from the sampling value of the main sampling channel, and the frequency parameter estimation value is obtained according to the sampling value of the time-interleaved sampling channel and the frequency parameter minimum solution by using a parameter joint estimation algorithm so that sampling of the multi-harmonic signals can be realized by the frequency parameter estimation value. The time-interleaved multi-harmonic signal undersampling method is used for accurately estimating the signal amplitude and the frequency parameter.

Description

technical field [0001] The invention relates to a time-interleaved multi-harmonic signal under-sampling method. It belongs to the field of communication signal processing. Background technique [0002] Multi-harmonic signals are widely used in audio, communication and power systems. According to the Nyquist sampling theorem, in order to fully reconstruct an analog signal from sampled samples, the sampling rate must be greater than or equal to twice the signal bandwidth. As the bandwidth of multiharmonic signals increases, so does the pressure on sampling equipment. Therefore, the Nyqiust sampling theorem has gradually become the bottleneck of multi-harmonic signal sampling system design, restricting the development of signal processing technology. [0003] A multiharmonic signal is a signal that can be characterized by a finite number of parameters, namely frequency and amplitude parameters. For a multi-harmonic signal composed of K frequency components, it can be expres...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R23/16G01R23/02
CPCG01R23/02G01R23/16
Inventor 付宁黄国兴曹杰乔立岩
Owner HARBIN INST OF TECH
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