5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where...
5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates the carrier c(t) = 100 cos(2πfct), where fc = 1 MHz to produce the DSB signal m(t)c(t). ( 1. Determine the expression for the upper-sideband (USB) signal. 2. Determine and sketch the spectrum of the USB signal.
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5. A message signal m(t) = cos(2000πt)+2 cos(4000πt) modulates
the carrier c(t) = 100 cos(2πfct), where...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
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?
When the message signal m (t) =cos (2π fmt) and the carrier signal is c(t)=cos (2π fct) , fm<&...
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
For the baseband signal m(t) = cos(1000πt) cos(3000πt), do the following. (a) Sketch the spectrum of...
For the baseband signal m(t) = cos(1000πt) cos(3000πt), do the following. (a) Sketch the spectrum of m(t) (b) Sketch the spectrum of the DSB-SC signal m(t)cos(10, 000πt). (c) Identify the upper sideband (USB) and the lower sideband (LSB) spectra. (d) Identify the frequencies in the baseband, and the corresponding frequencies in the DSB-SC, USB and LSB spectra. Explain the nature of frequency shifting in each case.
A message signal m(t) = sin30nt +3cos200nt is to be modulated by the carrier, 1. cos(20,000nt)....
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...
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the ne...
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the next page). a) Write the mathematical expression of M(o) and sketch it (label the axes carefully). Let qDSB-Sc (t)-2m(t)cos.. Write the mathematical expression of φ)DSB-SC(w) and sketch it (label the axes carefully). b) c) Suppress the USB in the DSB-SC spectrum you sketched in (b) to find the...
In a DSB-SC system, the carrier is c(t) = 2A sin (2πfct) and the message signal...
In a DSB-SC system, the carrier is c(t) = 2A sin (2πfct) and the message signal is given by m(t) = 2sinc(8t) + 4sinc^2 (8t). What is the frequency-domain representation and the bandwidth of the modulated signal?
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier...
An information signal is of the form s(t) = sin(2*pi*t)/t. The signal amplitude modulates a carrier of frequency 10Hz. Find and sketch the Waveform and Fourier transform of the transmitted signal before and after AM modulation. For AM modulation you can consider the simple case of DSB format (or double-sideband suppressed carrier modulation).
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the...
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the spectrum of m(t). 2) [5 points] Find and sketch the spectrum of the DSB-SC signal 2m(t)cos(1000t). 3) [5 points] From the spectrum obtained in 2), suppress the LSB to obtain the USB spectrum and sketch it. 4) [5 points] Knowing the USB spectrum in 3), write the expression puse(t) for the USB signal For full credit, label frequencies and magnitudes of the spectra for...
A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an LSB-AM signal. (a) Find and sketch the spectrum of m(t); determine and sketch the spectrum of mh (t) graphically; determine m,(t) by finding the inverse Fourier transform of the previous spectrum; determine the LSB-AM message signal expression. (b) Sketch the spectrum of the DSB-SC signal 2m(t) cos 2mfet; remove the upper sideband and sketch the resulting LSB spectrum; determine the LSB-AM message signal expression...
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?
When the message signal m (t) =cos (2π fmt) and the
carrier signal is c(t)=cos (2π fct) ,
fm<< fc,
The modulated DSB-SC signal
SDSB-SC=m(t)cos(2πfct) is generated, and only
the upper sideband
To generate and transmit the SSB signal. As shown in the figure
below, the receiver is a local oscillator
cosine signal to the received signal and passes it through a
low-pass filter. Answer the following questions.
(a) Draw the waveform of DSB-SC modulated signal
SDSB-SC(t）
(b)Find the result...
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...
Problem 2 (40 points) Suppose that the modulating (message) signal is m(t)-500si ne(4000πt) and the carrier frequency is o20000x rad/s (see the definition of the sinc function at the bottom of the next page). a) Write the mathematical expression of M(o) and sketch it (label the axes carefully). Let qDSB-Sc (t)-2m(t)cos.. Write the mathematical expression of φ)DSB-SC(w) and sketch it (label the axes carefully). b) c) Suppress the USB in the DSB-SC spectrum you sketched in (b) to find the...
1. Given a baseband signal m(t) sin(1000mt) cos(3000nt) + cos(3700nt a. Sketch the spectrum of m(t) (Hint. sin(a) cos(b) 0.5 sin(a +b) +0.5sin a-b)) b. Sketch the spectrum of DSB-CS signal m(t)cos(10000mt) C ldentify the upper sideband {USB) and lower sideband (LSB) spectra d. Give the black diagram of the receiver to receive DSB-CS signal in (b). 2. baseband signal m(r)--0.5 + Σ..小(t-n)-u(t-0.5-n)] where ult) is the Given unit step function, an amplitude modulated signal is as SAM 107+ m(0cos...
4. [20 points] A modulating signal m(t) is given by m(t)-cos(100nt)cos(500nt): 1) [5 points] Sketch the spectrum of m(t). 2) [5 points] Find and sketch the spectrum of the DSB-SC signal 2m(t)cos(1000t). 3) [5 points] From the spectrum obtained in 2), suppress the LSB to obtain the USB spectrum and sketch it. 4) [5 points] Knowing the USB spectrum in 3), write the expression puse(t) for the USB signal For full credit, label frequencies and magnitudes of the spectra for...
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