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引用次数: 5

摘要

本文研究了用维格纳分布函数(WDF)处理混合时频信号。该方法基于信号的混合时频表示(MTFR)的生成,在混合时频域中处理该表示,并通过逆操作或近似过程获得滤波输出。制定了各种信号处理操作。对所得MTFR的有效性条件进行了研究。如果输出的MTFR是有效的WDF,则逆操作可以作为精确过程应用;如果产生的MTFR不允许,则可以将其视为近似过程。其他的近似也可以公式化。一种方案依赖于MTFR在有效WDF空间上的投影。另一种方案依赖于以最小的方式修改过滤函数,从而使所得到的MTFR是有效的。
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Signal representation and processing in the mixed time-frequency domain
This paper is concerned with mixed time-frequency signal processing using Wigner Distribution Function (WDF). This approach is based upon the generation of the mixed time-frequency representation (MTFR) of a signal, processing of that representation in the mixed time-frequency domain, and obtaining a filtered output by an inverse operation or approximation procedure. Various signal processing operations are formulated. Validity condition for the resulting MTFR are investigated. An inverse operation can be applied as an exact procedure if the output MTFR is a valid WDF, it can be regarded as an approximation procedure if the resulting MTFR is not admissible. Other approximations can be formulated. One scheme depends on the projection of the MTFR onto the space of valid WDF. The other scheme depends on the modification of the filtering function in a minimal way such that the resulting MTFR is valid.
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