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A method for frequency estimation of sinusoidal signals based on dft and dichotomy

A frequency estimation and sinusoidal signal technology, applied in the field of signal processing, can solve the problem of performance deviation from the Cramereau limit, etc., and achieve the effect of good performance, low calculation amount, and good engineering application value

Active Publication Date: 2020-09-01
CHANGZHOU INST OF TECH
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Problems solved by technology

The AM algorithm based on interpolation of two DFT spectral lines has a minimum mean square error (MSE) of 1.0147 times the Cramereau limit. Although the frequency estimation method based on binary search can also obtain accurate frequency estimates, it requires Many iterations, and the performance under the condition of high signal-to-noise ratio will deviate from the Cramereau limit

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  • A method for frequency estimation of sinusoidal signals based on dft and dichotomy
  • A method for frequency estimation of sinusoidal signals based on dft and dichotomy
  • A method for frequency estimation of sinusoidal signals based on dft and dichotomy

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[0024] The present invention will be described in further detail below in conjunction with the accompanying drawings.

[0025] Aspects of the invention are described in this disclosure with reference to the accompanying drawings, which show a number of illustrated embodiments. Embodiments of the present disclosure are not necessarily intended to include all aspects of the invention. It should be appreciated that the various concepts and embodiments described above, as well as those described in more detail below, can be implemented in any of numerous ways, since the concepts and embodiments disclosed herein are not limited to any implementation. In addition, some aspects of the present disclosure may be used alone or in any suitable combination with other aspects of the present disclosure.

[0026] single sine wave signal The received signal polluted by additive Gaussian white noise is in, A, f, are the amplitude, frequency and initial phase of the signal respectivel...

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Abstract

The invention proposes a sinusoidal signal frequency estimation method based on DFT (Discrete Fourier Transform) and dichotomy. According to the method, a quantization frequency index corresponding tothe maximum value of an N-point DFT spectral line is used as the estimated value of an integer part; a dichotomy method is adopted to perform iterative search so as to determine the estimated value of a fractional part; and the estimated value of a residual is determined by solving an equation, therefore, the accurate estimated value of a frequency is obtained. With the method adopted, the accurate estimation of the frequency of a single sinusoidal signal can be obtained. The performance of the method is better than that of an existing method. A mean square error estimated by the method is closer to the Cramer-Rao Lower Bound.

Description

technical field [0001] The present invention relates to the technical field of signal processing, in particular to a sinusoidal signal frequency estimation method based on DFT and dichotomy. Background technique [0002] Accurate frequency estimation is of great significance in radar / sonar signal processing, spectrum estimation, communication signal processing, passive positioning and speech signal processing. For example, Doppler frequency can be used to estimate the radial motion velocity of moving targets. Wireless communication systems need to accurately estimate frequency or frequency offset to achieve frequency synchronization. Doppler frequency and its rate of change can be used to achieve single-station passive positioning. . The realization of these technical means is inseparable from the accurate estimation of the frequency. Therefore, the estimation of the frequency of sine wave signals under noise conditions has always been a research hotspot in the field of si...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01R23/02
CPCG01R23/02
Inventor 张刚兵钱显毅戚建宇崔翠梅赵泓扬
Owner CHANGZHOU INST OF TECH
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