多個具有零均值復乘性噪聲復諧波信號的循環(huán)估計量的性能分析
PERFORMANCE ANALYSIS OF CYCLIC ESTIMATORS FOR MULTIPLE HARMONICS IN COMPLEX ZERO MEAN MULTIPLICATIVE NOISES
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摘要: 文中研究了利用循環(huán)平穩(wěn)方法估計多個具有零均值隨機乘性噪聲的復諧波信號參數(shù)的方法,并分析了其漸近統(tǒng)計性能,結(jié)果表明循環(huán)統(tǒng)計量可用來恢復多個具有任意分布的零均值隨機有色乘性噪聲的復諧波信號,且所得的諧波參數(shù)估計的均方差與相應的Cramer-Rao界具有相同的數(shù)量級。模擬結(jié)果驗證了所得結(jié)果的正確性。Abstract: The concern here is retrieval of multiple tone harmonics observed in complex-valued multiplicative noises with zero mean. Cyclic statistics have proved to be useful for harmonic retrieval in the presence of complex-valued multiplicative noises with zero mean of arbitrary colors and distributions . Performance analysis of cyclic estimators is carried through and large sample variance expressions of the cyclic estimators are derived. Simulations validate the large sample performance analysis.
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毛用才,保錚.多個具有非零均值復乘性噪聲的復諧波信號循環(huán)估計量的性能分析.電子科學學刊.[2]Zhou G, Giannakis G B. Harmonics in multiplicative and additive noise: performance analysis of cyclic estimators. IEEE Trans. on SP, 1995, SP-43(6): 1445-1460.[3]Picinbono B. Second-order complex random vectors and normal distributions. IEEE Trans. on[4]SP, 1996, SP-44(10): 2637-2640. -
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