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Some estimation problems for harmonics in multiplicative and additive noise

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2 Author(s)
Hongwei Li ; Dept. of Inf. Sci., Peking Univ., Beijing, China ; Qiansheng Cheng

The large sample properties of the finite Fourier transform for generally complex processes are established under certain mixing conditions. The uniformly convergent rate of the sample cyclic-moments of cyclostationary processes is obtained. For harmonics in multiplicative and additive noise, the statistical properties of the sample cyclic-moments are obtained. As an important consequence, some procedures based on different order cyclic-moments are offered for estimating the harmonics component number and frequencies, and the strong convergence and convergence rates of the estimators are obtained

Published in:

Signal Processing, 1996., 3rd International Conference on  (Volume:1 )

Date of Conference:

14-18 Oct 1996