Consider the class of discrete-time filters whose frequency response has the form? H(e j? ) = |H(e
Question:
Consider the class of discrete-time filters whose frequency response has the form?
H(ej?) = |H(ej?)|e?jaw,
?where |H(ej?)| is a real and nonnegative function of ? and ? is a real constant. As discussed in Section 5.7.1, this class of filters is referred to as linear-phase filter. Consider also the class of discrete-time filters whose frequency response has the form?
H(ej?) = A(ej?)e?jaw + j?,?
Where A(ej?) is a real function of ?, ? is a real constant, and ? is a real constant. As discussed in Section 5.7.2, filters in this class are referred to as generalized linear-phase filters. For each of the filters in Figure, determine whether it is a generalized linear-phase filter. If it is, then find A(ej?), ? , and ?. In addition, for each filter you determine to be a generalized linear-phase filter, indicate whether it also meets the more stringent criterion for being a linear-phase filter.
Step by Step Answer:
Discrete Time Signal Processing
ISBN: 978-0137549207
2nd Edition
Authors: Alan V. Oppenheim, Rolan W. Schafer