probset-seven - EE533 Problem Set-7 1. The CT signal xc (t)...

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EE533 Problem Set-7 1. The CT signal x c ( t ) = cos 200 πt + 3 sin 320 πt is ideally sampled at f s = 250 Hz. What frequency components are present in the resulting x s ( t ) in the interval 0-200 Hz? 2. Consider the CT signal x c ( t ) = sin 20 πt + 2 cos 40 πt . (a) Let x c ( t ) be sampled at a rate f s Hz to obtain x ( n ) = sin πn/ 5 + 2 cos 2 πn/ 5 . Determine a choice of f s consistent with this information such that there is no aliasing of either frequency component. (b) Let the sampling rate f s be such that there is no aliasing of the lower frequency component. The DT signal here is w ( n ) = sin 2 πn/ 3 + 2 cos ω 0 n . Determine f s and ω 0 , 0 < ω 0 < π . (c) Define the signal y ( n ) = w 2 ( n ). Specify the frequencies of all the components of y ( · ) in the range [0 , π ]. 3. Determine the N -point DFTs of the following sequences defined for 0 n N - 1: (a) x a ( n ) = sin(2 πn/N ), (b) x b ( n ) = cos 2 (2 πn/N ). 4. Let
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This note was uploaded on 09/13/2010 for the course EE EE145 taught by Professor Shan during the Spring '10 term at YTI Career Institute.

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probset-seven - EE533 Problem Set-7 1. The CT signal xc (t)...

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