A modulating signal m(t) is given by: (b) m(t) = sin (100xt) sin (500л) (i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.) (ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic expression of the spectrum. iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum. (iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal. (v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (t).

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A modulating signal m(t) is given by:
(b) m(t) = sin (100xt) sin (500л)
(i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.)
(ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic
expression of the spectrum.
iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum.
(iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal.
(v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (t).
Transcribed Image Text:A modulating signal m(t) is given by: (b) m(t) = sin (100xt) sin (500л) (i) Sketch the spectrum of m(t). (Hint: use the trig identity for the product of sines.) (ii) Sketch the spectrum of the DSB SC signal 2m(t)cos(1000) and find the algebraic expression of the spectrum. iii) From the spectrum sketch in part (ii), suppress the LSB part to sketch the USB spectrum. (iv) Knowing the USB spectrum in part (iii), write the expression USB (t) for the USB signal. (v) Repeat parts (iii) and (iv) to obtain the LSB signal LSB (t).
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