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5
votes
You should use the synthesis equation of an impulse train with period $T$ (which is easy to derive): $$x(t)=\sum_{k=-\infty}^{\infty}\delta(t-kT)=\sum_{k=-\infty}^{\infty}\frac{1}{T}e^{jk\frac{2\p …
answered Jul 15 '17 by msm
1
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First, there are several mistakes in the question. "Spectrum", in its most general term refers to the Fourier transform itself. The Parseval theorem states that the total signal energy is related to …
answered Jul 25 '17 by msm
1
vote
1.The FT of a periodic signal is not one, but (potentially) infinite impulses. Assume an arbitrary periodic function $f_T(t)$ with period $T$ and consider its Fourier series representation in which $ …
answered Sep 2 '16 by msm
5
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This is related to Chirp Z-transform (CZT) (refer to the Bluestein's algorithm). Using this identity, the CZT can be expressed in terms of a convolution. Hence, it can be efficiently implemented using …
answered Sep 14 '16 by msm