多個(gè)具有零均值復(fù)乘性噪聲復(fù)諧波信號(hào)的循環(huán)估計(jì)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(jì)多個(gè)具有零均值隨機(jī)乘性噪聲的復(fù)諧波信號(hào)參數(shù)的方法,并分析了其漸近統(tǒng)計(jì)性能,結(jié)果表明循環(huán)統(tǒng)計(jì)量可用來(lái)恢復(fù)多個(gè)具有任意分布的零均值隨機(jī)有色乘性噪聲的復(fù)諧波信號(hào),且所得的諧波參數(shù)估計(jì)的均方差與相應(yīng)的Cramer-Rao界具有相同的數(shù)量級(jí)。模擬結(jié)果驗(yàn)證了所得結(jié)果的正確性。
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關(guān)鍵詞:
- 循環(huán)估計(jì)量; 性能分析; 乘性隨機(jī)噪聲; 諧波恢復(fù)
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. -
毛用才,保錚.多個(gè)具有非零均值復(fù)乘性噪聲的復(fù)諧波信號(hào)循環(huán)估計(jì)量的性能分析.電子科學(xué)學(xué)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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