of å réál-valued sequence are {0.25, The first five points of the eight-point DF 0.125 – j0.3018, 0, 0.125 - j0.0518, 0). Determine the remaining three points. 2 Compute the eight-point circular convolution for the following sequences. (a) x1(n) = {1, 1, 1, 1,0, 0,0, 0} %3D Зл x2(n) = sin n, 0

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1 The first five points of the eight-point DFT of a real-valued sequence are (0.25,
0.125 - j0.3018, 0, 0.125 - j0.0518, 0). Determine the remaining three points.
2 Compute the eight-point circular convolution for the following sequences.
(a) x1(n) = {1, 1, 1, 1,0, 0, 0, 0}
x2 (n) = sin
n,
0 <n<7
8
(b) х(п) 3 (-)",
0 <n<7
x2(n) = cos
-n,
0sn<7
8
(c) Compute the DFT of the two circular convolution sequences using the DFTS of
x1(n) and x2(n).
Transcribed Image Text:1 The first five points of the eight-point DFT of a real-valued sequence are (0.25, 0.125 - j0.3018, 0, 0.125 - j0.0518, 0). Determine the remaining three points. 2 Compute the eight-point circular convolution for the following sequences. (a) x1(n) = {1, 1, 1, 1,0, 0, 0, 0} x2 (n) = sin n, 0 <n<7 8 (b) х(п) 3 (-)", 0 <n<7 x2(n) = cos -n, 0sn<7 8 (c) Compute the DFT of the two circular convolution sequences using the DFTS of x1(n) and x2(n).
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