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# L4+Notes - Barrett CS450 Winter 2011 Lecture 4 Sampling...

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Barrett - CS450 Winter 2011 Lecture 4 Sampling, Aliasing and Interpolation Objectives : To understand the idea of the Shannon Sampling Theorem and the need to sample at f N (Nyquist rate) > 2 X the highest frequency to avoid Aliasing, and to see examples of what Aliasing is. Also the use and need for Interpolation. Sampling and Aliasing Shannon sampling theorem : If the highest frequency is finite and the funtion is of unlimited duration, and the signal is sampled at a rate, f N > 2 X its highest frequency, it is possible to recover completely the signal from its samples. Caveats : 1. In practice, we can only work with sampled data (signals) of finite duration, and so some amount of aliasing is unavoidable. 2. In practice, if we make the sampling interval small, we can make f N much higher than the frequencies of interest in the spectrum. Then, “ when aliasing contaminates the upper part of the spectrum, it will have little or no effect upon the data of interest. As a rule of thumb,

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## This note was uploaded on 03/02/2012 for the course C S 450 taught by Professor Morse,b during the Winter '08 term at BYU.

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L4+Notes - Barrett CS450 Winter 2011 Lecture 4 Sampling...

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