An ideal bandpass filter has a passband from ωco1 to ωco2, as depicted in Fig. 12-8(b) on...

An ideal bandpass filter has a passband from ωco1 to ωco2, as depicted in Fig. 12-8(b) on p. 353. Show that its impulse response can be represented as a cosine modulated lowpass filter impulse response as in

Find ω0 and ωco in (12.75) in terms of the bandpass cutoff frequencies ωco1 and ωco2. Express Hbp(j ω) in terms of Hlp(j ω) to obtain the frequency-domain representation of (12.75).