5650_1p_fa2011 - ECE 5650/4650 MATLAB Project 1 This...

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Introduction 1 ECE 5650/4650 MATLAB Project 1 This project is to be treated as a take-home exam, meaning each student is to due his/her own work. The project due date is 4:30 PM Tuesday, October 18, 2011. To work the project you will need access to M ATLAB and at minimum the signal processing toolbox. Introduction This first MATLAB DSP project will get you acquainted/reacquainted with M ATLAB and then move into the exploration of Discrete-time signal generation Sequence convolution and the convolution sum Linear constant coefficient difference equations (LCCDEs) The discrete-time Fourier transform (DTFT) It is the student’s responsibility to learn the very basics of M ATLAB . There are many resources on the internet. One such example is course notes available in PDF form, from http:// www.eas.uccs.edu/wickert/ece1010/ . A Quick M ATLAB Review Recall that M ATLAB stands for matrix laboratory, so it goes without saying that M ATLAB is very efficient at doing matrix oriented numerical calculations. M ATLAB supports many data types, but the two data types we will work with the most, are scalar numbers (real and complex), and matrices (real and complex). For our signal processing needs the matrices we create will most often be vectors, that is matrices of dimension or . The default data type for real and complex numbers is double precision. Complex numbers are handled trans- parently in M ATLAB , so there is no need to worry about these details, for the most part. In fact, when M ATLAB starts-up, it has both i and j defined as , i.e., at the command window, as shown in Figure 1, enter >> j ans = 0 + 1.0000i Note that if you use i and j for something else, these definitions will be overwritten. The matrix specialization of M ATLAB means that the most efficient programming requires vectorizing. This is an aspect of using M ATLAB that most students master over time. Getting your code to work in some fashion is first and foremost. Writing tight code is something that requires practice. The Colon Operator Suppose we wish to create a vector of time samples for s, with sample spacing of 0.01s. We enter at the command window >> t = 0:0.01:5; >> size(t) m 1 1 n 1 t 05 
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ECE 5650/4650 MATLAB Project 1 Introduction 2 ans = 1 501 >> cls % clear the command window screen >> clf % clear the active figure window >> figure(1) % open a new figure window or address #1 if already open The variable t is now a row vector containing one row and 501 columns. If all we wanted was integer steps, we could simply enter >> n = 0:10 n = 0 1 2 3 4 5 6 7 8 9 10 Note the semicolon at the end of a statement, suppresses the automatic listing of the return vari- able. We can create a function of the vector t , say , by writing >> x = cos(2*pi*2*t); A plot of x versus t can be made using the plot() command.
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5650_1p_fa2011 - ECE 5650/4650 MATLAB Project 1 This...

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