Stockwell Transform Based Algorithm for Processing of Digital Communication Signals to Detect Superimposed Noise Disturbances

Abstract

This research work presents a method using Stockwell transform which is aimed to process the communication signals to detect noise disturbances superimposed on the signals in the communication channel or at the transmitter or the receiver stations. The communication signals with noise disturbances are simulated with the help of mathematical relations. The communication signals with noise disturbance are decomposed with the help of Stockwell Transform and S-matrix is obtained. A summing of absolute values curve is proposed and calculated by summing of absolute values of each columns of S-matrix and plotted against time. A median curve is also proposed and calculated using median of absolute values of each columns of S- matrix. Proposed maximum absolute values plot is calculated using maximum values of absolute values of each columns of S- matrix. On comparing these plots of signal having noise disturbance with corresponding plots of pure sinusoidal communication signal, superimposed noise disturbances have been detected successfully. Proposed study is performed using the MATLAB software.