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A Signal Reconstruction Method Based on Discrete Fractional Fourier Transform Phase Information

A fractional Fourier, signal reconstruction technique, applied in the field of signal processing

Active Publication Date: 2017-05-24
SOUTHEAST UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0013] Purpose of the invention: Aiming at the problems and deficiencies in the prior art, the present invention provides a signal reconstruction method based on discrete fractional Fourier transform phase information, which can recover amplitude information from phase information and finally reconstruct the original signal. The problem of reconstructing the original signal by knowing the phase information in discrete fractional transform domain of arbitrary signal

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  • A Signal Reconstruction Method Based on Discrete Fractional Fourier Transform Phase Information
  • A Signal Reconstruction Method Based on Discrete Fractional Fourier Transform Phase Information
  • A Signal Reconstruction Method Based on Discrete Fractional Fourier Transform Phase Information

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[0082] Below in conjunction with specific embodiment, further illustrate the present invention, should be understood that these embodiments are only used to illustrate the present invention and are not intended to limit the scope of the present invention, after having read the present invention, those skilled in the art will understand various equivalent forms of the present invention All modifications fall within the scope defined by the appended claims of the present application.

[0083] Such as figure 1 As shown, the present invention is a system structure diagram from discrete fractional Fourier transform domain phase to original signal reconstruction, wherein the text part represents the process of the whole system, and the formula part represents the mathematical expression of each process or the mathematical representation of the problem. When using the above process for signal reconstruction, follow the steps below:

[0084] Step 1, the data input device inputs signa...

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Abstract

The invention discloses a method for reconstructing an original signal only through dispersed fractional order Fourier transform phase information and belongs to the technical field of signal processing. The method comprises the steps of converting a signal reconstructing problem into a convex optimization problem; performing dispersed fractional order Fourier transform on the original signal, and changing a transform matrix of the dispersed fractional order Fourier transform to obtain different pieces of phase information; storing or transmitting the obtained phase information; recovering the original signal through proper pieces of phase information by means of an amplitude recovery algorithm combining a coordinate descent method and an inner point method, namely, reconstructing the original signal. According to the method, the purpose of reconstructing the original signal with fewer pieces of phase information is achieved by means of the theoretical foundation that the phase information includes larger amount of information than amplitude information under the same number.

Description

technical field [0001] The invention relates to a method for reconstructing an original signal only through phase information in a discrete fractional Fourier transform domain, and belongs to the technical field of signal processing. Background technique [0002] Scenes in nature are all three-dimensional, but photos and computer screens display pseudo-three-dimensional, two-dimensional plane scenes. Astronomical image detection and seismic signal detection only obtain the Fourier amplitude information of these images, but cannot observe the desired nebula image or seismic reflection sequence signal. In X-ray crystal structure analysis, only the absolute value of the structure factor is shown in the molecular structure diagram. Phase information is also significantly lost when electron or optical microscopy determines the structure of an object. However, the phase information contains a large amount of image information, so how to use the known amplitude information to rec...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06T5/00
Inventor 刘洁媛伍家松韩旭杨冠羽杨淳沨吴丹舒华忠
Owner SOUTHEAST UNIV
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