SYSC 4405 Quiz: SYSC 4405 Quiz 5

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Quiz 5a answer book: calculate the dft of the sequence x[n]= {0,0,0,0,4,0,0,0} = 4*[1 w4 w8 w12 w16 w20 w24 w28]t. 4: calculate the idft of the sequence x[k]= {8,0,0,0,8,0,0,0} Idft matrix is conjugate of the dft matrix. W5 = (1+j) / root(2) w7 = (1+j) / root(2) 1 w w2 w3 w4 w5 w6 w7. 1 w2 w4 w6 w8 w10 w12 w14. 1 w3 w6 w9 w12 w15 w18 w21. 1 w4 w8 w12 w16 w20 w24 w28. 1 w5 w10 w15 w20 w25 w30 w35. 1 w6 w12 w18 w24 w30 w36 w42. 1 w7 w14 w21 w28 w35 w42 w49. = [ 2 0 2 0 2 0 2 0]t: we wish to calculate the convolution ( y[n]= h[n] * x[n] ) where x[n]= {2,4,6,8,10,12,14,18} h[n]= {1,1, using linear convolution, calculate y[0] to y[5] Sketch the operation of the overlap-add method using n=4, m=2, and l=3.

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