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Low sampling rate signal recovery method of weight fraction Fourier transformation field

A technology of fractional Fourier transformation and signal recovery, which is applied in the direction of complex mathematical operations, can solve the problems of unsatisfactory signal data acquisition and recovery, and achieve the effect of reducing data volume and improving utilization rate

Inactive Publication Date: 2009-05-27
HARBIN INST OF TECH
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Problems solved by technology

[0003] In order to solve the problem of data acquisition and recovery of signals that do not meet the conditions of Shannon sampling theorem, the present invention provides a method for recovering signals with a low sampling rate in the weighted fractional Fourier transform domain

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  • Low sampling rate signal recovery method of weight fraction Fourier transformation field
  • Low sampling rate signal recovery method of weight fraction Fourier transformation field
  • Low sampling rate signal recovery method of weight fraction Fourier transformation field

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specific Embodiment approach 1

[0017] Specific implementation mode one: combine figure 1 and figure 2 Describe this embodiment, the steps of this embodiment are as follows:

[0018] Step 1: The analog signal f(t) is sampled in the time domain through the A / D converter, and then the time domain sampling sequence f(n) is sent to the programmable device;

[0019] Step 2: The programmable device calculates the time-domain inversion sequence f(-n) of the sampling sequence according to the time-domain sampling sequence f(n), and the discrete Fourier transform sequence F( n) and the discrete Fourier transform sequence F(-n) of the time-domain inversion sequence f(-n);

[0020] Step 3: The programmable device calculates the weighting coefficient A under the order of the given weighted fractional Fourier transform l (α), l=0, 1, 2, 3;

[0021] Step 4: The programmable device is based on the sequence time-domain sampling sequence f(n), time-domain inversion sequence f(-n), the discrete Fourier transform sequence...

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Abstract

The invention discloses a method for recovering a signal with low sampling rate in a weighted score fourier transformation domain and relates to the field of communication signal acquisition. The method solves the problems of data acquisition and recovery of the signal which does not meet the condition of a Shannon sampling theorem. The method comprises the following steps: firstly, an analog signal of an input signal is subjected to time domain sampling through an A / D convertor; a sampling sequence is sent to a digital signal processor DSP; the digital signal processor DSP is combined with a weighting coefficient of a given weighted score fourier transformation order and the time domain sampling sequence to calculate a reconstructing sequence of the weighted score fourier transformation domain; secondly, according to a reconstructing formula of the weighted score fourier transformation domain, a signal value of any reconstructing point is calculated; and finally, the reconstructed signal value can be recovered to an original analog signal waveform through the A / D convertor. Under the condition of without increasing the realization complexity, the method solves the problem of recovering a class of signals which do not meet the condition of the prior Shannon sampling theorem, is favorable for reducing the data size processed by an information source and improves the utilization rate of a signal channel.

Description

technical field [0001] The invention relates to the field of communication signal acquisition, a method for recovering signals based on weighted fractional Fourier transform under low sampling conditions. Background technique [0002] In the era of digitalization and informationization, data acquisition technology has become more and more important as a "bridge" connecting the analog domain and the digital domain. With the rapid development of computer technology, computers have become an irreplaceable tool for human beings to understand and transform the world. Analog signals must be digitized through data collection before entering the computer for processing. According to the traditional Shannon sampling theorem, the sampled analog signal must be band-limited in the frequency domain, and the sampling frequency must not be less than twice its cut-off frequency in order to recover the analog signal without distortion. However, in practical engineering applications, the sig...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/14
Inventor 沙学军史军迟永钢冉启文吴宣利张钦宇张乃通
Owner HARBIN INST OF TECH
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