Application of LTI Systems and Convolution in Matlab

Background

Often music groups would like to make their studio recordings sound as if they were played in a live venue. One method to achieve this is to convolve the audio recording with an impulse response taken from the concert venue, or another location with similar acoustics.

Convolution may also be used in the same way to alter your voice which will be demonstrated below. All you need to try out the experiments are a laptop with microphone, Matlab student edition or better, and a couple everyday items.

Audio Impulse Response

We have seen impulse responses expressed as mathematical functions such as $ 2^{-n}u[n] $

Voice Effect Experiment

I will demonstrate the procedure for this Matlab experiment by attempting to make my voice sound as if I am speaking into an empty cactus cup (large plastic cup), without actually speaking into it.

The Code

Below are code listings for the required Matlab functions.