EE 3512 – Signals Dr. Obeid Computer Assignment 4 Spring 2013 Due Wednesday 4/17/2013 Goal The purpose of this assignment is to practice designing and implementing lters. You are given two dierent noisy signals and you have to design and implement a dierent lter to denoise each one. The two signals contain dierent types of noise and therefore you will want a dierent ltering strategy in each case. A major part of this assignment is analyzing the signals in both the time and frequency domains to determine where the noise is and how it can be removed (or at least reduced). You can plot the signals in both time and frequency (using myFFT), and then youll have to interpret what the plots show you to determine what kind of noise you’re seeing. Signals The two noisy signals can be found in the data le named hw4Data.mat on Blackboard. The rst signal is a sawtooth plus noise and the second is a square wave plus noise. Filters In each case, design a lter that will keep as much of the signal as possible and reject as much of the noise as possible. Your lter could be something like a rst order low pass lter with a cutofrequency that you select. You are also welcome to research and implement more sophisticated lters: perhaps a 2nd order lowpass lter or a bandpass lter might make more sense. Implementing the Filter Once you have designed your lter, use lsim to apply your lter to the noisy input signal. Plot your output signal and see whether the noise has been removed. You might want to try a few dierent lters settings and see which one gives you the best looking result. Writeup In your writeup, explain how you analyzed the signals, where you perceive the noise to be, and how that inuenced your lter design. Show your ltered signals and discuss how your design decisions inuenced your ability to recover the denoised signal. Your paper should follow the 2-column format and can be of whatever length you like. Challenge For students looking for a little competition action, you should…