Time Frequency Analysis of Continuous Signal using Wavelet Transform

Abstract

In many communication systems, it is necessary to use the concepts of instantaneous amplitude and phase signals. A signal, stationary or non-stationary, needs to be processed and analyzed before it can be of any use. Signal in its raw form contains noise which is generally the high frequency component of the data. This noise needs to be eliminated for better representation of the signal. In this paper, we first demonstrate the implementation of Wavelet Transform and how it helps in efficient de-noising. Thresholding is done in the wavelet domain to de-noise the signal. A study of time-frequency analysis of the de-noised signal has been performed to achieve relevant conclusions. A case study of seismic signal is given at the end to support the theoretical analysis.