By means of the DFT and IDFT, determine the response of the FIR filter with impulse response h(n)={1,2,3} to the input sequence x(n)={1,2,2,1}?
A. {1,4,11,9,8,3}
B. {1,4,9,11,8,3}
C. {1,4,9,11,3,8}
D. {1,4,9,3,8,11}
Answer:A
By means of the DFT and IDFT, determine the response of the FIR filter with impulse response h(n)={1,2,3} to the input sequence x(n)={1,2,2,1}?
A. {1,4,11,9,8,3} B. {1,4,9,11,8,3} C. {1,4,9,11,3,8} D. {1,4,9,3,8,11}
Explanation: The input sequence has a length N=4 and impulse response has a length M=3. So, the response must have a length of 6(4+3-1).