乘性和復(fù)加性噪聲中復(fù)諧波的循環(huán)估計(jì)量的性能分析
PERFORMANCE ANALYSIS OF CYCLIC ESTIMATORS FOR HARMONICS IN MULTIPLICATIVE AND COMPLEX ADDITIVE NOISE
-
摘要: 從通信和探測(cè)系統(tǒng)需要的頻率估計(jì)出發(fā),文中研究了實(shí)乘性和復(fù)加性隨機(jī)噪聲中復(fù)諧波的恢復(fù)問題,表明循環(huán)均值和循環(huán)相關(guān)函數(shù)可用來對(duì)不同分布的有色實(shí)乘性和復(fù)加性隨機(jī)噪聲中的諧波進(jìn)行恢復(fù),分別對(duì)于非零均值和零均值乘性噪聲情形分析了循環(huán)估計(jì)量的性能.證明了循環(huán)估計(jì)量與一定意義下的最小二乘估計(jì)量漸近等價(jià),并給出了循環(huán)估計(jì)量的大樣本方差表達(dá)式.模擬結(jié)果驗(yàn)證了大樣本性能分析.Abstract: The concern here is retrieval of harmonic observed in multiplicative and complex additive noises. Cyclic mean and correlation statistics have proved to be useful for harmonic retrieval in the presence of real-valued multiplicative and complex-valued additive noise of arbitrary color and distribution. Performance analysis of cyclic estimators is carried through both for nonzero and zero mean multiplicative noises. Cyclic estimators are shown to be asymptotically equivalent to certain nonlinear least squares estimators, and large sample variance expressions of the cyclic estimators are derived. Simulations validate the large sample performance analysis.
-
計(jì)量
- 文章訪問數(shù): 1881
- HTML全文瀏覽量: 102
- PDF下載量: 423
- 被引次數(shù): 0
下載:
