宽带信号频率调制的估算.音频信号分析的应用
Estimation of frequency modulations on wideband signals; applications to audio signal analysis
摘要：
研究了由调频平稳宽带信号实现的功率谱和调制联合估计问题。这项研究的动机是一些特定的信号类，从偏离平稳性可以携带相关信息，并进行估计。估计过程是基于作为宽带平稳高斯信号的信号的显式建模，通过时间相关的平滑频率调制进行变换。在此假设下，得到了变换后信号的Gabor变换的二顺序统计量的近似表达式，从而得到了近似的极大似然估计过程。数值模拟验证了该方法的有效性。
英文摘要：
The problem of joint estimation of power spectrum and modulation from realizations of frequency modulated stationary wideband signals is considered. The study is motivated by some specific signal classes from which departures to stationarity can carry relevant information and has to be estimated. The estimation procedure is based upon explicit modeling of the signal as a wideband stationary Gaussian signal, transformed by time-dependent, smooth frequency modulation. Under such assumptions, an approximate expression for the second order statistics of the transformed signal's Gabor transform is obtained, which leads to an approximate maximum likelihood estimation procedure. The proposed approach is validated on numerical simulations.
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