Lecture 14- Sampling of Discrete TIme Systems

Lecture 14- Sampling of Discrete TIme Systems - ECSE304...

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1 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II ECSE 304 Signals and Systems II Lecture 14: Sampling of Discrete-Time Signals Reading: O and W - Sections 7.5 Boulet – Chapter 15 Richard Rose McGill University Dept. of Electrical and Computer Engineering 2 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II • Impulse Train Sampling of D-T Signals • Discrete-Time Decimation • Discrete-Time Interpolation • Examples Outline
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3 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II Review Example - Sampling of C-T Signals • Example: Given the following system where two signals are multiplied together and the product is sampled by an impulse train: • What is the maximum sampling interval T so that is recoverable from using an ideal low pass filter? () wt p 12 2( ) s ω ωω >+ 2 s T π <= + 4 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II An Application of Sampling D-T Signals: Filterbanks and Subband Processing Split a signal into subbands using an analysis filterbank Process each subband separately Reassemble subbands using synthesis filterbank
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5 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II Application to Data Compression 6 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II In general, K<M, where M is the number of subband channels If K=M, the system is maximally decimated Decimated Filterbanks Decimation: Extract every Kth sample from the input signal Interpolation: Insert K-1 zeros between samples
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7 Lecture 14 – Sampling of D-T Signals ECSE304 Signals and Systems II • Sampled sequence is equal to at integer multiples of the sampling period and zero elsewhere:
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This note was uploaded on 02/08/2012 for the course ECSE 304 taught by Professor Chenandbacsy during the Spring '11 term at McGill.

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Lecture 14- Sampling of Discrete TIme Systems - ECSE304...

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