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The discrete-Fourier transform (DFT) of a N length sequence x(n) is given by OX(k)= EN=1 x(-2n) ej2nk/N, 0≤k ≤N-1 OX(k)= x(n)e-jank/N, 0≤k≤N-1 OX(k)= = x(n)e/2mnk /N, 0≤k ≤N-1 ○ X(k)= = x(n)e-12nnk/N, 0≤k ≤ N-1

The discrete-Fourier transform (DFT) of a N length sequence x(n) is given by OX(k)= EN=1 x(-2n) ej2nk/N, 0≤k ≤N-1 OX(k)= x(n)e-jank/N, 0≤k≤N-1 OX(k)= = x(n)e/2mnk /N, 0≤k ≤N-1 ○ X(k)= = x(n)e-12nnk/N, 0≤k ≤ N-1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The discrete-Fourier transform (DFT) of a N length sequence x(n) is given by OX(k)= X(k)= OX(k)= OX(k)= x(-2n)ei2nk/N, 0≤k≤N-1 x(n)e-jank/N, 0≤k≤N-1 x(n) e/2nk/N, 0≤k ≤N-1 = x(n)e-12nnk/N, 0≤k ≤N-1
Transcribed Image Text:The discrete-Fourier transform (DFT) of a N length sequence x(n) is given by OX(k)= X(k)= OX(k)= OX(k)= x(-2n)ei2nk/N, 0≤k≤N-1 x(n)e-jank/N, 0≤k≤N-1 x(n) e/2nk/N, 0≤k ≤N-1 = x(n)e-12nnk/N, 0≤k ≤N-1
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