Characterization of Room Impulse Response System on the Application of Varied Width Unit Step Signals in a Noisy Environment

In this paper, the response of the room impulse response system for the various-width pulse signal input is represented in a discrete-time domain. The result shows that the response is a low pass filter. The phase response of the system comes out as a minimum phase for the input of different pulse widths. The phase response is piecewise linear. A FIR model is given to implement the room impulse response. Analysis of the room impulse response system for AWGN, Rayleigh, Exponential, and Poisson noise are also given here. It is observed from the results that as the signal-to-noise ratio increases, the maximum amplitude of output also increases but the shape of the curve remains constant. At the same time, the phase response is piecewise linear.