Let x(t) and y(t) denote two bandpass signals,

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2.2 Let x(t) and y(t) denote two bandpass signals, and let x,(t) and y (t) denote their lowpass
equivalents with respect to some frequency fo. We know that in general x(t) and y (t) are
complex signals.
1. Show that
x(t)y(t) dt
Re
2. From this conclude that Ex =¿Ex, i.e., the energy in a bandpass signal is one-half the
energy in its lowpass equivalent.
Transcribed Image Text:2.2 Let x(t) and y(t) denote two bandpass signals, and let x,(t) and y (t) denote their lowpass equivalents with respect to some frequency fo. We know that in general x(t) and y (t) are complex signals. 1. Show that x(t)y(t) dt Re 2. From this conclude that Ex =¿Ex, i.e., the energy in a bandpass signal is one-half the energy in its lowpass equivalent.
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