Elliptical spherical wave signal Wigner-Ville distribution explicit asymptotic solving method
An ellipsoidal wave and signal technology, applied in the field of information transmission, can solve the problems of lack of symmetry in time-frequency distribution results, uncontrollable numerical simulation errors, etc., and achieve the effect of maintaining symmetry and high frequency resolution
Pending Publication Date: 2021-12-28
NAVAL AERONAUTICAL UNIV
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[0006] The purpose of the present invention is to provide an explicit asymptotic solution method for PSWFs signal WVD by constructing the explicit asymptotic expression of PSWFs signal WVD, so as to solve the problems of uncontrollable numerical simulation error and lack of symmetry of time-frequency distribution results
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[0063] In the following description, various aspects of the present invention will be described. However, those skilled in the art can implement the present invention by using only a part or all of the structures or processes of the present invention. For clarity of explanation, specific numbers, arrangements and sequences are set forth, but it will be apparent that the invention may be practiced without these specific details. Since the specific technologies adopted in the present invention are basic technologies well known to those skilled in the art, in order not to confuse the present invention, many well-known features will not be described in detail.
[0064] In order to better illustrate the implementation steps of the present invention and at the same time demonstrate the excellent characteristics of the present invention, below in conjunction with the accompanying drawings figure 1 The method for explicitly asymptotically solving the Wigner-Ville distribution of the e...
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The invention provides a Wigner-Ville Distribution (WVD) explicit asymptotic solving method for an elliptic spherical wave signal, and belongs to the technical field of information transmission. A Legendre polynomial WVD self term and a cross term of a required order are generated according to error requirements, and then linear superposition is carried out after multiplication with a corresponding WVD-Legendre coefficient, so that an elliptical spherical wave signal WVD explicit asymptotic expression is obtained. According to the method provided by the invention, the elliptical spherical wave signal WVD explicit asymptotic expression meeting the error requirement can be generated, and the original time domain and frequency domain symmetry of the signal can be effectively maintained. Under the condition of the same number of sampling points, compared with the elliptical spherical wave signal WVD based on a numerical solution, the frequency domain resolution of the elliptical spherical wave signal WVD obtained by the method provided by the invention is higher.
Description
technical field [0001] The present invention relates to radio communication technology, and more specifically, the present invention relates to an explicit asymptotic solution method of Wigner-Ville distribution of ellipsoidal wave signal, which belongs to the technical field of information transmission. Background technique [0002] As a special kind of non-sinusoidal functions, Prolate Spheroidal Wave Functions (PSWFs) have the characteristics of double complete orthogonality, strict odd-even symmetry of time-domain waveform, flexible and controllable time-bandwidth product and spectrum, and optimal energy aggregation. Excellent features such as limited function set. Non-sine wave communication based on PSWFs signals, such as time-domain quadrature modulation based on PSWFs, multi-carrier modulation of ellipsoidal wave based on signal grouping optimization, multi-carrier modulation of ellipsoidal wave based on generalized signal index, etc. (Wang Hongxing, Zhao Zhiyong, Li...
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Login to View More IPC IPC(8): G06F17/10
CPCG06F17/10
Inventor 王红星赵乐源刘传辉陆发平康家方刘锡国
Owner NAVAL AERONAUTICAL UNIV