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Unformatted text preview: ENEE 241 02 * HOMEWORK ASSIGNMENT 36 Due Fri 05/09 (Part A) (5 pts.) Consider the FIR filter with impulse response given by h 1 [ n ] = δ [ n ]- δ [ n- 1] . Compute the outputs y 1 [ n ] and y 2 [ n ] of this system when the inputs are (A.1) (2 pts.) x 1 [ n ] = cos( ωn + θ ), and (A.2) (2 pts.) x 2 [ n ] = sin( ωn + θ ). (A.3) (1 pt.) Describe the operation of the filter in words. (Part B) (15 pts.) Consider the FIR filter with impulse response given by h 2 [ n ] = δ [ n ]- 2 δ [ n- 1] + 2 δ [ n- 2]- 2 δ [ n- 3] + δ [ n- 4] (B.1) (1 pt.) Sketch h 2 [ n ]. (B.2) (1 pt.) Write the input-output relationship of the filter by expressing the output y [ n ] in terms of the input x [ n ] and its delayed versions. (B.3) (1 pt.) Using (B.2) , write an equation for the response of the filter to the input sequence given by x [ n ] = δ [ n- 1] . (B.4) (3 pts.) Using the system function H ( z ) or otherwise, determine the response of the filter to the two-sided exponential x [ n ] = (- 2)...
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- Spring '08
- Digital Signal Processing, Impulse response, Finite impulse response