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Unformatted text preview: – Make impulse response of a discretetime linear timeinvariant (LTI) system be a sampled version of the continuoustime LTI system. H ( z ) y [ k ] f [ k ] Z H ( s ) ( 29 t f ~ ( 29 t y ~ Laplace T s e z z H s H  ) ( ) ( = = 18  4 Impulse Invariance Mapping • Impulse invariance mapping is z = e s T Laplace Domain Z Domain Lefthand plane Inside unit circle Imaginary axis Unit circle Righthand plane Outside unit circle 1 Im{ z } Re{ z } s = 1 ± j ⇒ z = 0.198 ± j 0.31 ( T = 1 s) s = 1 ± j ⇒ z = 1.469 ± j 2.287 ( T = 1 s) π 1 2 1 1 max max ⇒ = ⇒ = s f f ω 1 111 Im{ s } Re{ s } f j s 2 = lowpass, highpass bandpass, bandstop allpass, or notch filter?...
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This note was uploaded on 01/22/2012 for the course EE 312 taught by Professor Shafer during the Spring '08 term at University of Texas.
 Spring '08
 Shafer

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