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Unformatted text preview: ENEE 241 02* HOMEWORK ASSIGNMENT 5 Due Mon 02/11 0.1 0.2 0.3 0.4 0.5 0.6 0.7-4-3-2-1 1 2 3 4 The first period of the sinusoid x ( t ) = A cos( t + ) is plotted above, where x (0) = 2 3. (i) (5 pts.) Determine A , and . In what follows: A and are as found in part (i) and x [ n ] = x ( nT s ), where T s is a suitably chosen sampling period. (ii) (5 pts.) For what values of T s is it true that x [ n ] = x [ n + 3] for all n ? (iii) (5 pts.) Determine all values of T s such that x [ n ] = A cos(( / 7) n + ). (iv) (5 pts.) Determine all values of T s such that x [ n ] = A cos((16 / 21) n- ). Solved Examples S 5.1 ( P 1.19 in textbook). The continuous-time sinusoid x ( t ) = cos(150 t + ) is sampled every T s = 3 . 0 ms starting at t = 0. The resulting discrete-time sinusoid is x [ n ] = x ( nT s ) (i) Express x [ n ] in the form x [ n ] = cos( n + ) i.e., determine the value of ....
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This note was uploaded on 03/21/2010 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.
- Spring '08