Consider the class of discrete-time filters whose frequency response has the form...

Consider the class of discrete-time filters whose frequency response has the form

where |H(e^jω)| is a real and nonnegative function of ω and α is a real constant. As discussed in Section 5.7.1, this class of filters is referred to as linear-phase filters.

Consider also the class of discrete-time filters whose frequency response has the form

where A(e^jω) is a real function of ω, α is a real constant, and β 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 P5.15, determine whether it is a generalized linearphase filter. If it is, then find A(e^jω), α, and β. 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.