EE210_F11_HW5

EE210_F11_HW5 - EE210-2 Fall 2011 Prof Essam Marouf Linear...

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Unformatted text preview: EE210-2, Fall 2011 Prof. Essam Marouf Linear Systems Theory (Transform Theory & Applications) ---------------------------------------------------------------------------------------------------------- Homework #5 To be Completed by Monday October 31, 2011 ------------------------------------------------------------- 1a) (H3.27) Find two different continuous-time signals that will produce the sequence x ( n ) = cos(0.1 π n ) when sampled with a sampling frequency of 8 kHz. 1b) (H3.29) A continuous-time signal x a ( t ) is known to be uniquely recoverable from its samples x a ( nT ) when T = 1 milli-second. What is the highest frequency in X a ( f )? ----------------------------------------------------------------------------------------------------------- 2) (H3.28) If the Nyquist rate for x a ( t ) is Ω s , find the Nyquist rate for (a) x 1 ( t ) = x a 2 (2 t ) , (b) x 2 ( t ) = x a ( t /3), (c) x 3 ( t ) = x a ( t )* x a ( t ) (where ‘*’ denotes convolution) -----------------------------------------------------------------------------------------------------------...
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This note was uploaded on 11/28/2011 for the course EE 210 taught by Professor Moriarty,e during the Fall '08 term at San Jose State.

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