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Sampling and Reconstruction - Ptolemy Project

Chapter 11 Sampling and ReconstructionDigital hardware, including computers, take actions in discrete steps. So they can deal with discrete-time signals, but they cannot directly handle the continuous-time signals that are prevalent in thephysical world. This chapter is about the interface between these two worlds, one continuous, theother discrete. A discrete-time signal is constructed bysamplinga continuous-time signal, and acontinuous-time signal isreconstructedbyinterpolatinga discrete-time SamplingA sampler for complex-valued signals is a systemSamplerT:[Reals Complex] [Integers Complex],( )whereTis thesampling interval(it has units of seconds/sample).

Example 11.1: A typical sample rate for voice signals is. f. s = 8000 samples/second, so the sampling interval is. T = 0: 125 msec/sample. A continuous-time sinusoid with frequency 440 Hz, when sampled at this rate, is indistinguishable from a continuous-time sinusoid with frequency 8,440 Hz, when sampled at this same rate.

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Transcription of Sampling and Reconstruction - Ptolemy Project

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All rights reserved ISBN 978-0-578-07719-2

ptolemy.berkeley.edu

Preface Signals convey information. Systems transform signals. This book introduces the mathe-matical models used to design and understand both.

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