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Lecture 10_winter_2012

Lecture 10_winter_2012 - Digital Speech Processing Lecture...

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1 Digital Speech Processing— Lecture 10 Short-Time Fourier Analysis Methods - Filter Bank Design
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2 Review of STFT 1 1 2 3 0 2 1 ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ . ( ) [ ] [ ] ˆ function of (looks like a time sequence) ˆ function of (looks like a transform) ˆ ˆ ( ) defined for , , ,...; . Interpretations of ( ) ˆ . fix ω ω ω ω ω ω π =−∞ = = ± ± j j m n m j n j n X e x m w n m e n X e n X e n ˆ ˆ ˆ ˆ ˆ ed, variable; ( ) DTFT [ ] [ ] DFT View OLA implementation ˆ ˆ 2. variable, fixed; ( ) [ ] [ ] Linear Filtering view filter bank implementation FBS i ω ω ω ω ω ω = = = = j n j j n n X e x m w n m n n X e x n e w n mplementation
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