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# HW2 - Polytechnic University Dept Electrical and Computer...

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Polytechnic University, Dept. Electrical and Computer Engineering EE3414 Multimedia Communication System I Spring 2006, Yao Wang ___________________________________________________________________________________ Homework 2 (Sampling and Interpolation) Reading Assignment: McClellan, Schafer and Yoder , DSP First , Chapter 4 (Handout) Written Assignment 1. For the signal ) 2 cos( ) ( t t s π = , plot its waveform, and then illustrate the resulting samples (without prefiltering) with the following sampling intervals: a. . sec 5 . 0 = s T b. . sec 1 = s T c. . sec 75 . 0 = s T For each case, also sketch the reconstructed continuous time signal from the samples using linear interpolation (i.e. connecting samples by straight lines). Based on your sketch, determine the fundamental frequency of the reconstructed signal. In which case you had aliasing distortion? What is the minimal sampling frequency and the corresponding sampling interval needed to avoid aliasing? 2.

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HW2 - Polytechnic University Dept Electrical and Computer...

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