 By Joseph J. Carr

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If N is not a power of 2, then it reverts to a non-radix-2 process. The FFT process will be explained in the next section. 3 Digital Signal Processing Laboratory The Fast Fourier Transform The Fast Fourier Transform, or the FFT, as it is popularly termed, is probably the single most famous computer program in the ﬁeld of electrical engineering and represents the most practical version of the DTFT, which is what we initially started out with. It is, essentially, a much faster computation method of the DFT, discussed in the previous section.

3 Computer Laboratory: Simulation of Continuous Time and Discrete-Time Signals and Systems This section consists of examples in MATLAB,3 followed by the laboratory exercises. Please test the example problems, before proceeding to the exercises. MATLAB Examples Example: Solve the following difference equation for 0 ≤ n ≤ 10: y(n) = y(n – 1) + 2 y(n – 2) + x(n – 2) given that x(n) = 4 cos(π n/8), y(0) = 1 and y(1) = 1. 5)n [u(n) – u(n – 10)]. Plot the vectors x, h, and y on the same page using subplot commands.

Ii. Each image is stored as a matrix a(m,n). Determine the size of the matrix for each image and determine the number of pixels (m × n) in each case. iii. Determine the maximum and minimum values of the image matrices for each image. b. fmPage33Wednesday,November17,200411:47AM Discrete-Time Signals and Systems 33 i. f(x, y) = x2 + y2 ii. f(x, y) = e–(ΈxΈ2 – ΈyΈ2) In each case, appropriately list all axes labels. References 1. , Linear Signals and Systems, Oxford University Press, New York, 2001.