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Make up the derivation of Eq. (8.4) Wrect (@p) +2 ΣWrect(t)e-ipt = e-ipT(N-1)/2N sin(@pT/2) sin(@pT/2N) (8.4) k=0 for DFT of rectangular window by using the formula for the sum of a geometrical series with the first term of 1 and a geometric ratio of e-ipT/N. Then, plot the DFT.

Make up the derivation of Eq. (8.4) Wrect (@p) +2 ΣWrect(t)e-ipt = e-ipT(N-1)/2N sin(@pT/2) sin(@pT/2N) (8.4) k=0 for DFT of rectangular window by using the formula for the sum of a geometrical series with the first term of 1 and a geometric ratio of e-ipT/N. Then, plot the DFT.

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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Make up the derivation of Eq. (8.4) N-1 Wrect(@p) == Wrect(t)e-i@pth = e-ipT(N-1)/2N sin(@pT/2) sin(@pT/2N) (8.4) N k=0 for DFT of rectangular window by using the formula for the sum of a geometrical series with the first term of 1 and a geometric ratio of e-ipT/N. Then, plot the DFT.
Transcribed Image Text:Make up the derivation of Eq. (8.4) N-1 Wrect(@p) == Wrect(t)e-i@pth = e-ipT(N-1)/2N sin(@pT/2) sin(@pT/2N) (8.4) N k=0 for DFT of rectangular window by using the formula for the sum of a geometrical series with the first term of 1 and a geometric ratio of e-ipT/N. Then, plot the DFT.
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