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Unformatted text preview: ENEE 241 02 * HOMEWORK ASSIGNMENT 21 Due Thu 05/07 Consider the FIR filter with input-output relationship y [ n ] = x [ n ]- 3 x [ n- 1] + 3 x [ n- 3]- x [ n- 4] , n ∈ Z (Note the zero coefficient.) (i) Determine the response y ( i ) [ · ] of the filter to each of the input signals given by the equations below (valid for all n ∈ Z ). x (1) [ n ] = 2- n (2 pts.) x (2) [ n ] = (- 2) n (2 pts.) x (3) [ n ] = 3 · 2- n + (- 2) n (2 pts.) x (4) [ n ] = cos( πn/ 4- . 4) (3 pts.) x (5) [ n ] = 3- n · cos( πn/ 4) (4 pts.) (ii) (5 pts.) The filter above is connected in series (cascade) with the filter of the previous assignment, i.e., with input-output relationship y [ n ] = x [ n ] + x [ n- 2]- x [ n- 6]- x [ n- 8] , n ∈ Z Determine the system function H ( z ) of the two-filter cascade. (iii) (2 pts.) Write out the input-output relationship of the two-filter cascade. Solved Examples S 21.1 ( P 4.4 in textbook). Consider the FIR filter whose input x and output y are related by y [ n ] =...
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This note was uploaded on 10/18/2011 for the course ENEE 241 taught by Professor Staff during the Spring '08 term at Maryland.
- Spring '08