(5) Ramanujan's Sum in NTT Given M= 11, α = 8+6i, and N = 12. Please determine the complex number theoretic transform (CNT) of x if x=[010001010001] Hint: fft(x) is as follows, which is Ramanujan's Sum fft (x)= [4020-20-40 -2020] (8 scores)

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Chapter2: Second-order Linear Odes
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Ramanujan's Sum in NTT

Given M = 11, α = 8+6i, and N = 12. Please determine the complex number theoretic transform (CNT) of x if x = [0 1 0 0 0 1 0 1 0 0 0 1]

 

Hint: fft(x) is as follows, which is Ramanujan's Sum

fft(x) = [4 0 2 0 -2 0 -4 0 -2 0 2 0]

(5) Ramanujan's Sum in NTT
Given M= 11, α = 8+6i, and N = 12. Please determine the complex number
theoretic transform (CNT) of x if
x=[010001010001]
Hint: fft(x) is as follows, which is Ramanujan's Sum
fft (x)= [4020-20-40 -2020]
(8 scores)
Transcribed Image Text:(5) Ramanujan's Sum in NTT Given M= 11, α = 8+6i, and N = 12. Please determine the complex number theoretic transform (CNT) of x if x=[010001010001] Hint: fft(x) is as follows, which is Ramanujan's Sum fft (x)= [4020-20-40 -2020] (8 scores)
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