Method and device for measuring frequencies of high-frequency cosine signals under undersampling rate

Abstract

The invention discloses a method and device for measuring the frequencies of high-frequency cosine signals under the undersampling rate, and relates to the field of digital signal processing. By combining the type of the zero crossing point with the distribution characteristic of apFFT phase spectrums, L spectrum position index values are selected from 2L peak value magnitude spectrum positions; according to the remainder selecting result, each apFFT phase spectrum is corrected through the all-phase ratio interpolation method so that the frequency of the apFFT phase spectrum can be estimated; the frequency estimation value obtained after each apFFT phase spectrum is corrected is used as a remainder, the remainders are processed according to the Chinese remainder theorem of the closed analysis form, and the frequencies of the original high-frequency signals are reconstituted through the frequency estimation values. According to the method and the device, the frequencies of the multiple paths of high-frequency cosine signals under the undersampling rate are measured, and the measuring range of the frequencies of the high-frequency signals is greatly widened; the novel spectrum correction method is adopted, and therefore the measuring accuracy of the frequencies of the high-frequency cosine signals is improved, and novel anti-noise performance of the high-frequency cosine signals under the low undersampling rate is ensured.

Description

technical field [0001] The invention relates to the field of digital signal processing, in particular to a method and device for measuring the frequency of a high-frequency cosine signal at a subsampling rate. Background technique [0002] The frequency estimation and detection of high-frequency signals is a crucial issue in the fields of radar communication, sonar, earthquake monitoring, fault diagnosis and even medical treatment, which has attracted widespread attention of relevant scholars at home and abroad. As the frequency of the signal increases, the difficulty of realizing the dense spectrum recognition project will further increase. However, in engineering fields such as radio, it is more and more frequently involved in the sampling, analysis and processing of signals with frequency values ​​in the order of hundreds of megabytes (MHz), gigabytes (GHz), and ten gigabytes (10GHz). For example, in IEEE802.15.3a, IEEE802.15.4a and other standard schemes, the physical l...

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Problems solved by technology

[0008] for figure 1 The frequency estimation problem of the high-frequency cosine signal shown is difficult to measure the frequency because the cosine signal contains two complex exponential sidebands. Therefore, for a cosine signal of a certain frequency, if the spectral peak search is performed from the low-speed sampling of the L channel, 2L How to select the effective L-way remainder required for CRT reconstruction from the 2L remainder is a very difficult problem

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