Question

In: Electrical Engineering

Problem 3: The carrier c(t) = 100cos(2p fct) is frequency modulated by the signal m(t) =...

Problem 3: The carrier c(t) = 100cos(2p fct) is frequency modulated by the signal m(t) =
5cos(20000pt) , where fc = 108 Hz. The peak frequency deviation is 20 kHz. Determine the
amplitude and frequency of all the signal components that have a power level of at least 10% of
the power of the un-modulated carrier component.
Hint: The wide-band FM has frequency components, fc, fc+ fm, fc? fm, fc+2 fm, fc?2 fm,
and so on. The amplitude of the frequency components fc+n fm and fc?n fm is AcJn(b) where the
symbols have common meaning. You need to the find the frequency and amplitude of the components
that have at least 10% of the power of the un-modulated carrier (i.e., the signal components
that have at least 500 Watt power).

Solutions

Expert Solution


Related Solutions

A carrier signal with unit amplitude and frequency fc1 = 50 kHz is modulated with a...
A carrier signal with unit amplitude and frequency fc1 = 50 kHz is modulated with a message signal ?1(?)=2cos(2??1?), where f1 = 15 kHz, to produce a DSB-SC signal. This DSB signal must be up-converted to a center frequency fc = 100 kHz. a. Determine the image frequency of the DSB signal. [2] b. An Upper-SSB signal with unit amplitude carrier at the image frequency calculated above also exists in the spectrum. The SSB signal is tone modulated with ?2(?)=4cos(2??2?),...
A carrier signal of (500 kHz) is amplitude modulated to a depth of 75% by a...
A carrier signal of (500 kHz) is amplitude modulated to a depth of 75% by a single tone modulating signal of 18 KHz. The carrier amplitude is 800 Volts , and the antenna equivalent impedance is 70 Ohms. Calculate: 1- modulating wave voltage (Am) [volt] 2- The carrier power (Pc) [Watt] 3- The average output Power (Pt) [watt] 4- The percentage transmission efficiency [%] 5- The lower side band power (PLSB)
A baseband signal s(t) = 10Cos(3000*pi*t + 30) V, is wideband fm modulated (Z(t)) with carrier...
A baseband signal s(t) = 10Cos(3000*pi*t + 30) V, is wideband fm modulated (Z(t)) with carrier amplitude of 50V. The index of modulation is B = 4. a) Show the simplified equation of Z(t). b) Determine the wideband FM power using Bessel fnc. Table c) Calculate Kf in the Z(t) equation.
7 If a carrier signal vc(t) = 10 sin (20000πt+π/2) volts is amplitude modulated by message...
7 If a carrier signal vc(t) = 10 sin (20000πt+π/2) volts is amplitude modulated by message vm(t) = 8sin(450πt+π/2), sketch the frequency plot for the resulting AM signal and calculate the transmission bandwidth. Write the expression for the AM signal. If the resulting AM signal is viewed on a CRO, what will be the values of Vmax and Vmin? Also sketch the AM signal in CRO and state whether the signal is under modulated / critically modulated / over modulated;...
For a Double SideBand – Large Carrier (DSB-LC) Modulated Amplitude Modulator (AM) with a carrier frequency...
For a Double SideBand – Large Carrier (DSB-LC) Modulated Amplitude Modulator (AM) with a carrier frequency Fc = 1100kHz z and a maximum modulating signal frequency Fm (max) = 22kHz, determine: a. Frequency limits for the lower side bands (LSB) and upper (USB). b. Bandwidth c. The equation for the AM signal if the carrier has a Vrma voltage of 6V and the modulating signal has a Vrma voltage of 1V. Consider the fm(max) transmission. d. Lower (LSB) and upper...
A baseband signal s(t)=8cos(2000t + 45)V, is wideband FM modulated with carrier amplitude of 40 volts....
A baseband signal s(t)=8cos(2000t + 45)V, is wideband FM modulated with carrier amplitude of 40 volts. The index of modulation is beta=3. a. show the simplified equation of the wideband FM modulation b. determine wideband FM power using Bessel function table c. Calculate Kf in the wideband FM modulation equation.
Given: a 315MHz binary message is being ASK modulated with a carrier frequency of 38KHz. Write...
Given: a 315MHz binary message is being ASK modulated with a carrier frequency of 38KHz. Write a MatLab program to demodulate the signal, and graph the output.
2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude...
2. An AM radio station broadcasts a signal at a carrier frequency ωc, with an amplitude modulation frequency of ωm << ωc, E(t) = E0[1 + A sin(ωmt)] sin(ωct) Show that this is the sum of a wave at the carrier frequency, the lower sideband (ωL = ωc−ωm), and the upper (high) sideband (ωH = ωc + ωm). What total bandwidth is required if the radio station wants to broadcast music that contains modulation frequency components from 20 to 10,000...
A physical voltage m(t) between a pair of wires modulates a carrier c(t) for transmission as...
A physical voltage m(t) between a pair of wires modulates a carrier c(t) for transmission as s(t). The system is DSB-PC AM. Part of the message’s spectrum is M(f) = 0.6*exp(j*20)*delta(f-96) + 0.4*exp(j*45)*delta(f-104)+... But this is not the whole spectrum, for if it were the whole spectrum, then m(t) would be complex, whereas physical voltages cannot be complex given: a) Write the whole spectrum M(f). Also, plot |M(f)| and arg M(f). b) Suppose that the carrier frequency is fc =...
If signal x(t) has a maximum frequency (wm1)and signal y(t) has a maximum frequency (wm2)where wm2>wm1,...
If signal x(t) has a maximum frequency (wm1)and signal y(t) has a maximum frequency (wm2)where wm2>wm1, determine the Nyquist rate for each of the following signals: (a)x(t)+ x(t-1) (b) dx/dt c) x(t)y(t) (d)x(t)*y(t)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT