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Fourier transform algorithm for reducing time loss

A Fourier transform and algorithm technology, applied in the field of signal processing and time-frequency analysis, can solve the problem of limited use of the transform domain, and achieve the effect of improving transform efficiency, improving computing efficiency, and ensuring efficiency

Pending Publication Date: 2018-12-28
NANJING UNIV OF POSTS & TELECOMM
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Problems solved by technology

Compared with compressed sensing, the use of its transform domain is relatively limited

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  • Fourier transform algorithm for reducing time loss
  • Fourier transform algorithm for reducing time loss
  • Fourier transform algorithm for reducing time loss

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Embodiment Construction

[0049] Such as figure 1 As shown, the present invention discloses a Fourier transform algorithm that can reduce time loss, comprising the following steps:

[0050] S1. The positioning step is to estimate the position of non-zero Fourier coefficients or important coefficients in the frequency domain of the signal through multiple loop iterations to obtain position data;

[0051] S2. The estimation step is to estimate coefficient values ​​corresponding to these position data through multiple loop iterations according to the obtained position data;

[0052] S3. In the transformation step, according to the obtained position data and the corresponding coefficient values, set in the all-zero output sequence, complete the Fourier transformation of the signal, and output the result.

[0053] The positioning step described in S1 specifically includes:

[0054] S11, the spectrum rearrangement step, in order to reduce the complexity of calculating the Fourier transform of the signal, the...

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Abstract

The invention discloses a Fourier transform algorithm capable of reducing time loss, comprising the following steps: S1, a positioning step of estimating the position of a non-zero Fourier coefficientor an important coefficient of a signal in the frequency domain through a plurality of cyclic iterations to obtain position data; S2, an estimation step of estimating a coefficient value corresponding to the position data through a plurality of cycles of iteration according to the obtained position data; S3, a conversion step of setting in the all-zero output sequence according to the obtained position data and the corresponding coefficient value, completing the Fourier transform of the signal, and outputting the result. The invention adopts a sparse fast Fourier transform method realized byusing a hash algorithm and an adaptive sparse fast Fourier transform method suitable for sparse unknown signals as basic components of a time-frequency analysis technology, the computational efficiency is significantly improved, the time loss is reduced, and the efficiency of signal time-frequency analysis is ensured.

Description

technical field [0001] The invention relates to a non-stationary signal processing method, in particular to a Fourier transform algorithm capable of reducing time loss, and belongs to the fields of signal processing and time-frequency analysis. Background technique [0002] Signal acquisition, signal description and signal processing are indispensable and important components in modern scientific research and practical application. In the actual application process, most signals are not only time-varying, but also their frequency will change with time. The traditional one-dimensional time-to-frequency transformation can no longer meet the requirements. With the appearance of time-frequency analysis method, this problem has been well solved. Time-frequency analysis characterizes the distribution characteristics of signals by constructing a two-dimensional joint distribution function in time domain and frequency domain. At present, this technology has been widely used in many...

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Application Information

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IPC IPC(8): G06F17/14
CPCG06F17/142
Inventor 杨龙祥孙新新
Owner NANJING UNIV OF POSTS & TELECOMM
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