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UCSB Fall 2007 ECE 130A: Problem Set 6 Assigned: Wednesday, November 14 Due: Wednesday, November 21 (and then enjoy your Thanksgiving!) Reading: 4.1-4.5, 9.1-9.3 Problem 1: Find and sketch the magnitude | X ( j 2 πf ) | of the Fourier transform for the following signals. State for each waveform whether it is a baseband or bandpass signal (the de±nitions are to be applied loosely, with most of the frequency content being in a band around DC for a baseband signal, and most of the frequency content being in a band away from DC for a bandpass signal): (a) x ( t ) = sinc(4 t )sinc(2 t ) (b) x ( t ) = sin 12 πt (c) x ( t ) = sinc(4 t )sinc(2 t ) sin 12 πt . (d) x ( t ) = e - 2 | t | . (e) x ( t ) = e - 2 | t | cos 12 πt Problem 2: Use Matlab for the following plots and computations, comparing the result against what you get by analytical computations in Problem 1. (a) Plot x ( t ) = sinc(4 t )sinc(2 t ) versus t for - 4 ≤ t ≤ 4. (b) Using the DFT (as in Problem 6, Problem Set 5), ±nd |
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This note was uploaded on 08/06/2008 for the course ECE 130A taught by Professor Madhow during the Fall '07 term at UCSB.
- Fall '07