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Fixed-point error analysis of discrete Wigner-Ville distribution

机译:离散Wigner-Ville分布的定点误差分析

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摘要

The Wigner-Ville distribution (WVD) has been a powerful signal processing tool for time-frequency signal analysis. Consequently, many algorithms have been proposed in the literature for computing the WVD in real-time applications. However, Boashash (1987) has proposed and showed that the evaluation of the analytic signal using the time-domain approach, and involving the Hilbert transformer, is the most efficient algorithm for real-time applications. A fixed-point error analysis of this algorithm has been carried out. The theoretical noise-to-signal ratio (NSR) is derived and verified through simulation. The results indicate that for this algorithm, the NSR increases by 0.5 bit/stage, whereas for the other algorithms, it increases by 1 bit/stage.
机译:Wigner-Ville分布(WVD)是用于时频信号分析的强大信号处理工具。因此,在文献中已经提出了许多算法,用于在实时应用中计算WVD。然而,Boashash(1987)提出并表明,使用时域方法并涉及Hilbert变压器的分析信号评估是实时应用中最有效的算法。已经对该算法进行了定点误差分析。通过仿真推导并验证了理论的信噪比(NSR)。结果表明,对于该算法,NSR增加0.5位/级,而对于其他算法,NSR增加1位/级。

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