Consider the following 8-point signal, defined for n = 0, 1,..., 7: TTn 3πη :)-2 sin (- 4 -) +2 sin 2 (2")+3(-1)" 4 x(n) = 1 + 2 sin ( Nithout performing any DFT or FFT computations, determine the 8-point DFT of this signal.

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Consider the following 8-point signal, defined for n = 0,1,...,7:
x (n) = 1 + 2 sin(-
) +2 sin(-
3πη
)+3(-1)"
4
:)-2 sin (
Without performing any DFT or FFT computations, determine the 8-point DFT of this signal.
Transcribed Image Text:Consider the following 8-point signal, defined for n = 0,1,...,7: x (n) = 1 + 2 sin(- ) +2 sin(- 3πη )+3(-1)" 4 :)-2 sin ( Without performing any DFT or FFT computations, determine the 8-point DFT of this signal.
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