Question

What is the equivalent lowpass representation obtained by performing a frequency translation of X+(F) to Xl(F)= ?

(a) X+(F+Fc)

(b) X+(F-Fc)

(c) X+(F*Fc)

(d) X+(Fc-F)

The question was asked in an online interview.

I would like to ask this question from The Representation of Bandpass Signals in portion Sampling and Reconstruction of Signals of Digital Signal Processing

Answer 1

The correct option is (a) X+(F+Fc)

To elaborate: The analytic signal x+(t) is a bandpass signal. We obtain an equivalent lowpass representation by performing a frequency translation of X+(F).