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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 被引量:10

Compare of the performance between the improved discrete S transform fast algorithm and CWT
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摘要 S变换具有良好的时频结合特性,在信号处理领域受到了极大重视,在通信信号侦察处理领域具有广阔的应用前景。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。为了验证算法的有效性,本文将改进的离散S变换快速算法、传统离散S变换算法以及典型的多尺度时频分析方法—连续小波变换算法,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。结论对于通信信号快速侦察算法的工程化具有重要的意义。 Due to its excellent time-frequency combination properties, S transform has got great attention in the field of signal processing and has great applying prospect 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 trans- form and CWT are preceded. The result shows that the amount calculation of the improved discrete S transform fast algo- rithm 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.
作者 吴彦华
出处 《信号处理》 CSCD 北大核心 2012年第7期973-979,共7页 Journal of Signal Processing
关键词 时频分析 离散S变换 连续小波变换 运算量 time-frequency analysis discrete S transform continuous wavelet transform amount of calculation
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