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Improved Estimation of Evolutionary Spectrum based on Short Time Fourier Transforms and Modified Magnitude Group Delay by Signal Decomposition

By H K Lakshminarayana, J S Bhat and H M Mahesh


dependent power spectrum of the form Sx ( t, f) with S being Abstract—A new estimator for evolutionary spectrum (ES) based a TF function of x, and t & f indicate the time and frequency, on short time Fourier transform (STFT) and modified group delay respectively. The short time Fourier transform (STFT), function (MGDF) by signal decomposition (SD) is proposed. The STFT due to its built-in averaging, suppresses the cross terms and the Wigner Ville distribution (WVD) and evolutionary spectrum MGDF preserves the frequency resolution of the rectangular window (ES) are the techniques generally employed for the time-with the reduction in the Gibbs ripple. The present work overcomes dependent spectral analysis. the magnitude distortion observed in multi-component non-stationary It has been shown that the evolutionary periodogram (EP), signals with STFT and MGDF estimation of ES using SD. The SD is STFT and a class of bilinear distribution (BD) are estimators achieved either through discrete cosine transform based harmonic of ES [2],[4][5]. In the case of STFT, due to built-in time wavelet transform (DCTHWT) or perfect reconstruction filter banks (PRFB). The MGDF also improves the signal to noise ratio by domain smoothing, there are no cross terms and th

Year: 2013
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