Mitra g m 1 2 87 copyright 2005 s k mitra 88 phase

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f the input, and the delay is one sample period • If the input x[n] to an LTI system H (e jω ) is a sinusoidal signal of frequency ωo: x[ n] = A cos(ωo n + φ), − ∞ < n < ∞ • Then, the output y[n] is also a sinusoidal signal of the same frequency ωo but lagging in phase by θ(ωo ) radians: y[n] = A H (e jωo ) cos(ωo n + θ(ωo ) + φ), −∞ < n < ∞ 79 80 Copyright © 2005, S. K. Mitra Copyright © 2005, S. K. Mitra Phase Delay Phase Delay • We can rewrite the output expression as y[n] = A H (e jωo ) cos(ωo (n − τ p (ωo ) + φ)) where θ(ωo ) τ p (ωo ) = − ωo is called the phase delay • The minus sign in front indicates phase lag 81 • Thus, the output y[n] is a time-delayed version of the input x[n] • In general, y[n] will not be delayed replica of x[n] unless the phase delay τ p (ωo ) is an integer Phase delay has a physical meaning only with respect to the underlying continuoustime functions associated with y[n] and x[n] 82 Copyright © 2005, S. K. Mitra Copyright © 2005, S. K. Mitra Grou...
View Full Document

This document was uploaded on 11/09/2013.

Ask a homework question - tutors are online