TIME FREQUENCY REPRESENTATION OF COMPLEX SIGNALS

Abstract

This work presents the time frequency representation (TFR) of complex signal using eigen value decomposition of Hankel matrix, in which positive and negative frequencies are decomposed using eigen value decomposition of Hankel matrix. To obtain the TFR of complex signal, the analytic signal has been obtained using wavelet transform on the decomposed signals. This presents the TFR of both, the positive and negative frequencies. This method is compared with the TFR using Hilbert transform (HT) on decomposed signals. The proposed method presents larger signal to noise ratio (SNR) as compared to HT based TFR of positive and negative frequencies.