File:Spectral effects of decimation compared on 3 popular frequency scale conventions.pdf

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English: Each of 3 pairs of graphs depicts the spectral distributions of an oversampled function and the same function sampled at 1/3 the original rate. The bandwidth, B, in this example is just small enough that the slower sampling does not cause overlap (aliasing). The top pair of graphs represent the discrete-time Fourier transform (DTFT) representation. The middle pair, depict a normalized frequency scale, preferred by many filter design programs. The frequency, f, in Hz is divided by the sample-rate. The periodicity and Nyquist frequency are then represented by constants, 1 and 1/2 respectively. The bottom pair depict a different normalized frequency scale, used by the Z-transform... the periodicity and Nyquist frequency are respectively represented by 2π and π.
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Source Own work. The first two graphs correspond to the top and bottom graphs of Harris[1], Figure 2.10
Author Bob K
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Other versions Derivative works of this file:  Spectral effects of decimation.pdf
References
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  1. ↑ Harris, Frederic J. (24 May 2004) "2.2" in Multirate Signal Processing for Communication Systems, Upper Saddle River, NJ: Prentice Hall PTR, p. 22 ISBN: 0131465112.

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current18:34, 19 January 2014Thumbnail for version as of 18:34, 19 January 20141,800 × 1,500 (26 KB)wikimediacommons>Bob Krescale 4th graph

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