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(ELEC317)midtermQ1sol.pdf
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file:///F|/doc/paper/ELEC/ELEC317/midtermQ1sol.txt
Problem 1
a.
C[0]=A[0]B[0] C[1]=A[0]B[1]+A[1]B[0] C[2]=A[0]B[2]+A[1]B[1]+A[2]B[0] C[3]= A[1]B[2]+A[2]B[1] C[4]= A[2]B[2] C=[10 35 60 55 20]

b.
D[0]=A[0]B[0]+A[1]B[-1]+A[2]B[-2] D[1]=A[0]B[1]+A[1]B[0] +A[2]B[-1] D[2]=A[0]B[2]+A[1]B[1] +A[2]B[0] D=[65 55 60 ....... ] <-- periodic

c.
C=conv(A,B)

d.
D=ifft(fft(A).*fft(B))

e.
low-pass: no zero-crossing with sum of elements=1, sinc/triangular shape in time domain <=> somewhat retangular in freq. domain


file:///F|/doc/paper/ELEC/ELEC317/midtermQ1sol.txt[2009/5/16 13:05:18]