吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (06): 1675-1679.doi: 10.7964/jdxbgxb201306038

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Resolution and simulation of differential system for prolate spherical wave functions

ZHONG Pei-lin, WANG Hong-xing, ZHAO Zhi-yong, CHEN Zhao-nan   

  1. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China
  • Received:2012-05-03 Online:2013-11-01 Published:2013-11-01

Abstract:

The existing algorithms for Prolate Spherical Wave Functions (PSWFs) demand large amount of computation and high complexity in hardware implementation. To overcome the above weaknesses, a new algorithm with high accuracy and low complexity in both time and space domains was proposed in terms of computing the state equation of differential system. Then a simulation model of the system is constructed to generate PSWFs. This simulation model is easy for hardware implementation. The proposed algorithm was compared with the one proposed by Parr B. Results show that, when both algorithms obtain identical waveform and spectrum, the one proposed in this paper has much lower complexity. Simulation results of the system model show that the output waveforms are the same as the theoretical solutions, which verify the correctness and feasibility of the constructed system model.

Key words: communication technology, prolate spheroidal wave functions, differential system resolving, system model

CLC Number: 

  • TN911.7

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