A particular version of AM stereo uses quadrature multiplexing. Specifica.lly, the carrier A c cos (2ct) is

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A particular version of AM stereo uses quadrature multiplexing. Specifica.lly, the carrier Ac cos (2πƒct) is used to modulate the sum signal m= (t) = V0 + ml (t) + mr (t), where V0 is a DC offset included for the purpose of transmitting the carrier component, ml (t) is the left-hand audio signal, and mr (t) is the right-hand audios signal. The quadrature carrier Ac sin (2πƒct) is used to modulate the difference signal m2 (t) = ml (t) - mr (t)

(a) Show that an envelope detector may be used to recover the sum mr (t) + ml (t) from the quadrature-multiplexed signal. How would you minimize the signal distortion produced by the envelope detector?

(b) Show that a coherent detector can recover the difference ml (t) - mr (t).

(c) How are the desired m l (t) and mr (t) finally obtained?

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