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.
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbd9345f-cdaf-40a0-9604-7a9d3647c236%2F4fe4524c-eb83-4e98-ae33-a47a5c58dc5d%2Fz0wv07v_processed.png&w=3840&q=75)
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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