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DownSampling_UpSampling_Reconstruction

DownSampling_UpSampling_Reconstruction - Downsampling...

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M.H. Perrott©2007 Downsampling, Upsampling, and Reconstruction, Slide 1 Downsampling, Upsampling, and Reconstruction A-to-D and its relation to sampling Downsampling and its relation to sampling Upsampling and interpolation D-to-A and reconstruction filtering Filters and their relation to convolution Copyright © 2007 by M.H. Perrott All rights reserved.
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M.H. Perrott©2007 Downsampling, Upsampling, and Reconstruction, Slide 2 Digital Processing of Analog Signals Digital circuits can perform very complex processing of analog signals, but require Conversion of analog signals to the digital domain Conversion of digital signals to the analog domain Downsampling and upsampling to match sample rates of A-to-D, digital processor, and D-to-A
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M.H. Perrott©2007 Downsampling, Upsampling, and Reconstruction, Slide 3 Inclusion of Filtering Operations A-to-D and downsampler require anti-alias filtering Prevents aliasing D-to-A and upsampler require interpolation (i.e., reconstruction ) filtering Provides `smoothly’ changing waveforms
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M.H. Perrott©2007 Downsampling, Upsampling, and Reconstruction, Slide 4 Summary of Sampling Process (Review) Sampling leads to periodicity in frequency domain We need to avoid overlap of replicated signals in frequency domain (i.e., aliasing)
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M.H. Perrott©2007 Downsampling, Upsampling, and Reconstruction, Slide 5 The Sampling Theorem (Review) Overlap in frequency domain (i.e., aliasing) is avoided if: We refer to the minimum 1/T that avoids aliasing as the Nyquist sampling frequency
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M.H. Perrott©2007
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