改进的离散S变换快速算法与连续小波变换算法性能分析

Compare of the performance between the improved discrete S transform fast algorithm and CWT

  • 摘要: S变换由于其良好的时频结合特性,在信号处理领域受到了极大重视。本文在综合考虑各种时频方法后,指出了S变换在通信信号侦察处理领域应用的重要性。本文在研究S变换基本原理的基础上,针对目前常用的离散S变换算法进行了分析,指出了其在实现过程中存在的问题,提出了改进的离散S变换快速算法,以减少离散S变换的运算量,实现离散S变换的快速运算。为了验证算法的有效性,本文将离散S变换快速算法、传统离散S变换算法以及连续小波变换,进行了算法性能对比分析和仿真实验。实验结果表明了改进离散S变换快速算法比传统离散S变换算法和连续小波变换在算法的运算量方面要少一至几个数量级,证明了改进算法的有效性。这对于通信信号快速侦察的工程化具有重要的意义。

     

    Abstract: Due to its excellent time-frequency combination properties, S transform has got great attention in the field of signal processing. This paper analyzes the time-frequency methods and points out the importance of the S transform algorithm’s applying in the field of communication signals’ reconnaissance. Based on the study of basic principles of S transform, the commonly used algorithm of discrete S transform and its disadvantages are analyzed in this paper. The improved discrete S transform fast algorithm is proposed to reduce the computation of discrete S transform as well as achieve the fast discrete S transform operations. To examine and certify the effectiveness of the proposed algorithm, the simulation and the compare of the performance among the improved discrete S transform, the traditional discrete S transform and CWT are preceded. The result shows that the amount calculation of the improved discrete S transform fast algorithm is less one or more orders of magnitude than the traditional discrete S transform and CWT. Simulation and performance analysis proved the effectiveness to improve algorithm of discrete S transform. The improved algorithm has great significance to the engineering of the communication signal’s fast reconnaissance.

     

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