DSP-ch6 - DSP EEE 407/591 by Andreas Spanias Ph.D Chapter 6...

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1 Copyright (c) Andreas Spanias Ch6-1 DSP EEE 407/591 by Andreas Spanias, Ph.D. Chapter 6 [email protected] http://www.eas.asu.edu/~spanias Copyright (c) Andreas Spanias Ch6-2 MULTIRATE SIGNAL PROCESSING QMF BANKS Chapter 6 Andreas Spanias [email protected]
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2 Copyright (c) Andreas Spanias Ch6-3 Sampling Rate Modifications are often used in many application areas. One popular applications has been oversampling - Σ A-to-D and D-to-A conversion. Other applications include sub-band coding of speech and audio MULTIRATE SIGNAL PROCESSING AND DSP APPLICATIONS Copyright (c) Andreas Spanias Ch6-4 DOWNSAMPLING x(n) x (n)=x(Mn) M ... ... x(n) 0 1 2 3 4 0 1 2 D x (n)=x(2n) D 0 ... ... 2 pi -2 pi O 0 ... ... 2 pi -2 pi O 1/T 1/2T X Xd 2 1 ( 2 )/ 0 ( ) 1 ( ) j M j l M d l X e X e M π Ω− = =
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