Title :
Estimation of spectral correlation function based on evolutionary spectral
Author :
Hosseini, S. M Ali Tayaranian ; Amindavar, Hamidreza
Author_Institution :
Dept. of Electr. Eng., Amirkabir Univ. of Technol., Tehran, Iran
Abstract :
In this paper, we first demonstrate that a cyclostationary process is an oscillatory process which has a periodic evolutionary spectral, and we determine the relation between spectral correlation function and the periodic evolutionary spectral. Next, based on harmonic series representation (HSR) (a Fourier series with time varying lowpass coefficients representation that reveals the pertinent properties of a cyclostationary process and can cover the vast majority of temporal signals of interest) and discrete prolate spheroidal sequences (DPSS) (the unconditional orthonormal bases which can perfectly represent all lowpass signals such as the time-varying coefficients) and MMSE estimator which is used for estimation of evolutionary periodogram we estimate the spectral correlation function. This approach does not require the data windowing drawback in the time domain and is more robust than conventional cyclostationary approach to varying cyclic frequencies.
Keywords :
Fourier series; least mean squares methods; signal processing; time-domain analysis; DPSS; Fourier series; HSR; MMSE estimator; cyclic frequencies; cyclostationary process; data windowing drawback; discrete prolate spheroidal sequences; evolutionary periodogram estimation; harmonic series representation; lowpass signals; oscillatory process; periodic evolutionary spectral; spectral correlation function estimation; time domain; time-varying coefficients; Correlation; Estimation; Fourier series; Harmonic analysis; Noise; Time frequency analysis; Cyclostationary; MMSE estimation; discrete prolate spheroidal sequences; harmonic series representation;
Conference_Titel :
Information, Communications and Signal Processing (ICICS) 2011 8th International Conference on
Conference_Location :
Singapore
Print_ISBN :
978-1-4577-0029-3
DOI :
10.1109/ICICS.2011.6173128