A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts.
A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts.
a) Plot the spectrum of the signal and calculate its bandwidth.
b) Calculate the total signal power in dbm.
c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency?
d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform, Mout(f).
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A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10²πt)) cos(106πt) volts.
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot...
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The...
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a...
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated...
Consider frequency modulation with a sinusoidal message signal (tone modulation) m(t) = a cos(2πfmt). The modulated signal is: vFM(t) = Ac cos[2πfct + βf sin(2πfmt)]. with βf = kfa/fm being the modulation index. What is the bandwidth of the modulated signal.
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
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3(a) A complex signal given by the expression cos (9t x 103t) Vm(t) %3D 0.5cos(Зл х 103t) + сos(8т х 103t) + is used to...
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below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modula...
below is used to modulate a carrier to generate the AM signal yt) (Am()) cos(1000t) The periodic signal m() shown a) The power efficiency of the system is measured to be 1 () The type of AM modulation, i.e. SSB, DSBSC, (i) The constant A. (ili) The modulation index 1/13. Determine DSB with carrier enit -3 b) An angle modulated signal is given by d(t-2 cos (2n1061+ sin 2 1000). Find i) The carrier frequency. ii) The baseband signal bandwidth....
Question A modulated voltage signal is given as: s(t) = 10(1 + 0.5cos(10?rt)) cos(106mt) volts. Plot the spectrum of the signal and calculate its bandwidth. b) Calculate the total signal power in dbm. c) If the message signal is a single-tone signal, explain if this is an AM-DSB-SC or an AM-DSB-C signal. What is the modulation efficiency? d) The signal s(t) is passed through the following system. Find the output mout(t) as a function of time and its Fourier transform,...
The message signal m(t) = 2 cos 400t + 3 sin(800t + 22) modulates the carrier signal e(t) A cos(700π) using DSB-SC (dual side band, suppressed carrier) modulations Find the time domain and frequency domain representation of the modulated signal and plot the spectrum (Fourier transform) of the modulated signal. What is power content of the modulated signal?
Problem A DSB-SC AM signal is modulated by the signal m(t) = cos(4000st) - cos(1000nt). The modulated signal is u(t) = 200 m(t) cos(21tfct), where f=1 MHz. 1. Determine and sketch the spectrum of the AM signal. 2. Determine the average power in the frequency components 3. Find a resonable choice of R and C to design an envelope detector for this DSB-SC AM signal.
1. DSC-SC Modulation. Consider a message signal m(t) = 3 sinc(10t) this is applied to a product modulator with a carrier wave c(t) = 2 cos(100nt). (a) (5 points) Find and plot the Fourier transform S(f) of the DSB-SC modulated signal s(t). (b) (5 points) What is the bandwidth of s(t)? (c) (5 points) The signal s(t) is next applied to filter h(t), the output of the filter is named y(t). Now assume that I $2/300, If|< 30, H(f) =...
Consider an AM system. The message signal is given by cos(1000t) volts. The modulated signal is (0.5+acos(1000m))cos(2π.) volts, where α is a positive coefficient, and fe is the carrier frequency. (a) Determine the value of α when the modulation index is 100%. (b) Determine the value of α when the modulation index is 50%. (c) Determine the value of α when the modulation index is 200%. (6 marks) Continue from (1) and suppose α-05. Sketch the spectrum of the transmitted...
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt). (a) Find X(f) (b) Find the DSB-SC signal x(t) and Xf). (c) Sketch the spectrums of |M(G| and |X(f)|. In the spectrum, identify the USB and LSB spectra. (d) Find the message signal power, m2(t). (e) Find the transmitted power, Sr x2(t). (f Find the massage signal bandwidth, B, and the transmitted signal bandwidth, Br. (g) Describe the demodulation process and find the detected...
3(a) A complex signal given by the expression cos (9t x 103t) Vm(t) %3D 0.5cos(Зл х 103t) + сos(8т х 103t) + is used to amplitude modulate a carrier signal, Vc(t) = 3cos(2n shown in Figure 3(a) 105t) as X Vm(t) 0.5cos(3t x 103t) cos(8T x 103t) AM Modulator AM Signal cos(9t x 10t) Vc(t) 3cos(2n x 105t) Figure 3(a) The AM signal in Question 3(a) is developed across 2.2 kn load resistance The modulated carrier in Question 3(a) is...
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