By Steven W. Smith
ISBN-10: 0966017641
ISBN-13: 9780966017649
This e-book used to be written for scientists and engineers in a large choice of fields: physics,bioengineering, geology, oceanography, mechanical and electric engineering, to namejust a couple of. The objective is to give functional recommendations whereas averting the obstacles ofdetailed arithmetic and summary conception. to accomplish this target, 3 thoughts wereemployed in penning this booklet:
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Additional info for The science and engineer's guide to digital signal processing
Sample text
Figure (a) shows a signal where each sample is generated by a random number generator. As indicated by the pdf, the value of each sample is uniformly distributed between zero and one. Each sample in (b) is formed by adding two values from the random number generator. In (c), each sample is created by adding twelve values from the random number generator. The pdf of (c) is very nearly Gaussian, with a mean of six, and a standard deviation of one. 32 The Scientist and Engineer's Guide to Digital Signal Processing Random number generators operate by starting with a seed, a number between zero and one.
This phenomenon of sinusoids changing frequency during sampling is called aliasing. Just as a criminal might take on an assumed name or identity (an alias), the sinusoid assumes another frequency that is not its own. Since the digital data is no longer uniquely related to a particular analog signal, an unambiguous reconstruction is impossible. 05. The sine wave has hidden its true identity completely; the perfect crime has been committed! According to our definition, this is an example of improper sampling.
0, Ú = 1/û6 10 9 8 7 6 5 4 3 2 1 0 0 16 32 48 64 80 Sample number 96 112 128 127 12 11 pdf c. X = RND+RND+ ... 0, Ú = 1 10 9 8 7 6 5 4 3 2 1 0 0 16 32 48 64 80 Sample number 96 112 128 127 FIGURE 2-10 Converting a uniform distribution to a Gaussian distribution. Figure (a) shows a signal where each sample is generated by a random number generator. As indicated by the pdf, the value of each sample is uniformly distributed between zero and one. Each sample in (b) is formed by adding two values from the random number generator.