a) etch the x(t) = (2cos1000nt + cos2000nt) cos10000t b) Use the definition of the Hilbert transform to show that the lower side band signal PLSB of an amplitude modulated signal is given by PLSB = m(t)cosw.t +m,(t)sinw.t %3D where m(t) is the modulating signal, m, (t) is its Hilbert transform, and cosw.t is the carrier signal. c) The signal m(t) = 5cos400nt is applied to an FM modulator with a carrier %3D frequency fe 5 KHz, and frequency deviation constant fa 25 Hz/unit of m(t). The f. and a modulator is followed by a bandpass filter with a center frequency bandwidth of 700 Hz. Determine the power at the filter output.

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Q2)
a) Sketch the double-sided amplitude spectrum of the signal
x(t) = (2cos1000nt + cos2000nt) cos10000t
b) Use the definition of the Hilbert transform to show that the lower side band signal
OLSB of an amplitude modulated signal is given by
PLSB = m(t)cosw.t +m,(t)sinw.t
%3D
where m(t) is the modulating signal, m, (t) is its Hilbert transform, and cosw.t is
the carrier signal.
c) The signal m(t) = 5cos400nt is applied to an FM modulator with a carrier
%3D
frequency f. 5 KHz, and frequency deviation constant fa= 25 Hz/unit of m(t). The
modulator is followed by a bandpass filter with a center frequency
f. and a
bandwidth of 700 Hz. Determine the power at the filter output.
Transcribed Image Text:Q2) a) Sketch the double-sided amplitude spectrum of the signal x(t) = (2cos1000nt + cos2000nt) cos10000t b) Use the definition of the Hilbert transform to show that the lower side band signal OLSB of an amplitude modulated signal is given by PLSB = m(t)cosw.t +m,(t)sinw.t %3D where m(t) is the modulating signal, m, (t) is its Hilbert transform, and cosw.t is the carrier signal. c) The signal m(t) = 5cos400nt is applied to an FM modulator with a carrier %3D frequency f. 5 KHz, and frequency deviation constant fa= 25 Hz/unit of m(t). The modulator is followed by a bandpass filter with a center frequency f. and a bandwidth of 700 Hz. Determine the power at the filter output.
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