吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (04): 1091-1097.doi: 10.7964/jdxbgxb201304039

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Fast convergent algorithm of reconstructing bandpass prolate spheroidal wave function

LIU Chuan-hui1, WANG Hong-xing1,2, ZHANG Lei1, LIU Xi-guo1,2   

  1. 1. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University,Yantai 264001,China;
    2. Key Laboratory on Signal & Information Processing of Shandong Province,Naval Aeronautical and Astronautical University, Yantai 264001,China
  • Received:2012-04-20 Online:2013-07-01 Published:2013-07-01

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Abstract:

In order to improve the accuracy of reconstructing Bandpass Prolate Spherical Wave Function (BPSWF), a fact convergent reconstruction algorithm is developed. According to the sampling theorem and the fact that bandpass signal can be recovered from its well sampling signal with a suitable bandpass filter, a general construction formula is given. Main factors inducing the errors of the reconstruction algorithm are analyzed, and the basic idea of using more convergent base functions to improve the reconstruction accuracy is proposed. A group of fast convergent base is given by design in frequency domain; then, the fast convergent algorithm of reconstructing BPSWF is proposed. Theoretical analysis and simulation results demonstrate that the new reconstruction algorithm is fit for recovering BPSWF of low frequency. Compared with the reconstruction method with sinc base function, the proposed algorithm can achieve higher reconstruction accuracy, which makes the recovered BPSWF get better orthogonality and energy concentration characteristics.

Key words: communication, reconstruction algorithm, reconstruction base functions improve, bandpass prolate spheroidal wave functions(BPSWF), sampling theorem

CLC Number: 

  • TN911.7

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