discrete-time signals that have a finite length.

In this project, we are going to work with discrete-time signals that have a finite length. To
make the mathematics work out right, it is very important that our finite-length signals will
always start at n = 0 and end at n = N − 1. So, an 8-point signal x[n] will have length N = 8.
It will be defined from n = 0 to n = 7. Outside of this range of n’s, the signal is not defined. It’s
important for you to understand that x[n] is not equal to zero for other values of n; it does not
even exist for other values of n.
We are also going to work with digital audio signals. We will make some simple audio
signals, play them through the sound card, and write them to wave files so that they can be
played by a media player like Windows Media Player. Then you will design a high-
performance digital filter to remove noise from a complex audio signal.