{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Ch3Handouts_2

# K mitra 7 the frequency response note magnitude and

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

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2005, S. K. Mitra The Frequency Response The Frequency Response H (e jω ) , in general, is a complex function of ω with a period 2π • It can be expressed in terms of its real and imaginary parts H (e jω ) = H re (e jω ) + j H im (e jω ) • jω • The quantity H (e ) is called the frequency response of the LTI discrete-time system • H (e jω ) provides a frequency-domain description of the system • H (e jω ) is precisely the DTFT of the impulse response {h[n]} of the system 39 or, in terms of its magnitude and phase, H (e jω ) = H (e jω ) e jθ(ω) where θ(ω) = arg H (e jω ) 40 Copyright © 2005, S. K. Mitra Copyright © 2005, S. K. Mitra The Frequency Response The Frequency Response • The function H (e jω ) is called the magnitude response and the function θ(ω) is called the phase response of the LTI discrete-time system • Design specifications for the LTI discretetime system, in many applications, are given in terms of the magnitude response or the phase response or both 41 • In some cases, the magnitude function is specified in decibels as G (ω) = 20 log10 H (e jω ) dB where G(ω) is called the gain function • The negative of the gain function A (ω) = − G (ω) is called the attenuation or loss function 42 C...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online