Exponential Characteristics of Room Impulse Response system in Noisy Environment

Abstract

This paper describes the characteristics of the Room Impulse Response system for an exponential signal in presence of different noises. Traditionally Room impulse response function used for acoustic applications. Characterization of this system helps to develop its new applications. The room impulse response system is characterized using frequency domain analysis. To obtain the phase and magnitude responses, the spectrum for an exponential signal is computed and then convolved with a room impulse response system. Further the signal is exposed to the noise and then convolve it to the system and get the output for different signal to noise ratios. This whole simulation executes in MATLAB. It is discovered that the Room Impulse Response system exhibits a low pass filter magnitude response and a peace-wise linear phase response when an exponential signal is applied in the presence of different noises. For varying noise levels, more parallels in the Room Impulse Response system's phase and magnitude output were discovered. This technique characterizes Room Impulse Response for exponential signals in noisy environment. A model to implement Room Impulse Response function as system also provided. Here Room Impulse Response function used as system and it is completely characterized for exponential signal in AWGN, Exponential, Rayleigh, Poisson noise. This work opens up entirely new uses for the Room Impulse Response system, like low pass and band pass filtering.