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Implementation device of three-weighted fractional Fourier transform

A technology of fractional Fourier transform and Fourier transform, which is applied in the field of three-term weighted fractional Fourier transform realization devices, can solve the problems of no 3-WFRFT realization structure, complex realization structure, unfavorable practical operation, etc., and achieve design Easy to operate, simple effect design

Active Publication Date: 2017-05-31
NO 54 INST OF CHINA ELECTRONICS SCI & TECH GRP
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Problems solved by technology

[0003] The implementation structure of 4-WFRFT has been given in the document "weighted fractional Fourier transform and its application in communication system", but so far, there is no specific implementation structure of 3-WFRFT, the present invention is based on the definition of 3-WFRFT Form, making full use of the properties of Fourier transform and 4-WFRFT, proposes the realization structure of 3-WFRFT, the design structure is simple and easy to operate, laying a solid foundation for the practical application of three weighted fractional Fourier transform
From the original definition expression (1) of the three-term weighted fractional Fourier transform of the signal, it can be seen that the realization of this transform requires order 4-WFRFT transformation, and the implementation structure is relatively complicated, which is not conducive to practical operation

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  • Implementation device of three-weighted fractional Fourier transform
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  • Implementation device of three-weighted fractional Fourier transform

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[0030] A device for realizing three-item weighted fractional Fourier transform, comprising a discrete Fourier transform module, a sign inversion module, order 4-WFRFT module, A 4-WFRFT module of order, a first multiplication module, a second multiplication module, a third multiplication module and an addition module;

[0031] The discrete Fourier transform module performs discrete Fourier transform on the input signal X to obtain the signal Z 1 , the Fourier transformed signal Z 1 output to The 4-WFRFT module of order obtains the signal Z 2 ; The order 4-WFRFT module performs Fourier transform on the signal order 4-WFRFT transformation, the transformed result Z 2 output to the first multiplication block; the first multiplication block will The result Z of the output of the 4-WFRFT module of order 2 with the first three-term weighted fractional Fourier transform coefficient B 1 (α) is multiplied, and the multiplied result Z 3 output to the addition module;

[0...

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Abstract

The invention discloses a design of an implementation device of a signal processing technology. The working process of the implementation device comprises the following steps: firstly, multiplying a signal X and a three-weighted fractional Fourier transform coefficient B0 (alpha) to obtain Z0; performing discrete Fourier transform on the signal X to obtain a signal Z1; performing 1 / 3-order 4-WFRFT on the signal Z1 after the discrete Fourier transform to obtain a signal Z2, and multiplying the Z2 with a three-weighted fractional Fourier transform coefficient B1 (alpha) to obtain a signal Z3; processing the X by a symbol reversing module P to obtain a signal Z4, performing 2 / 3-order 4-WFRFT on the Z4 to obtain a signal Z5, and multiplying the Z5 with a three-weighted fractional Fourier transform coefficient B2 (alpha) to obtain a signal Z6; summing the Z0, the Z3 and the Z6 to obtain a signal Y obtained after alpha-order three-weighted fractional Fourier transform of the signal X; completing the whole process of the alpha-order three-weighted fractional Fourier transform of the signal X. The alpha in the process is changed into -alpha, so that a three-weighted fractional inverse Fourier transform process of the signal is carried out.

Description

technical field [0001] The invention is a structure design of a signal processing technology, specifically a device for realizing three-item weighted fractional Fourier transform. Background technique [0002] The invention is a realization structure design of the signal processing technology, specifically a realization device of the three-item weighted fractional Fourier transform of the signal. [0003] The implementation structure of 4-WFRFT has been given in the document "weighted fractional Fourier transform and its application in communication system", but so far, there is no specific implementation structure of 3-WFRFT, the present invention is based on the definition of 3-WFRFT Form, making full use of the Fourier transform and the properties of 4-WFRFT, a 3-WFRFT implementation structure is proposed. This design structure is simple and easy to operate, and lays a solid foundation for the practical application of the three-term weighted fractional Fourier transform. ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
CPCG06F17/141
Inventor 李勇宋志群沙学军刘丽哲
Owner NO 54 INST OF CHINA ELECTRONICS SCI & TECH GRP
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