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A message m(t) sinc2 (M) cos (2π9t) is used to modulate a carrier to produce an...
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...
A message signal m(t)=2 cos (10πt) + 3 sin(20πt) is used DSB-SC system to modulate by...
A message signal m(t)=2 cos (10πt) + 3 sin(20πt) is used DSB-SC system to modulate by carrier c(t)= 20 cos (200πt). Find: 1) Modulated signal s(t) , s(f). 2) Sketch modulated signal s(t). 3) Find bandwidth of modulated signal. 4) Find power of modulated and carrier. 5) Sketch upper side band and LSB?
4.4-4 Find LSR (t) and USB (1) for the modulating signal m(t) = 7B sinc (27...
4.4-4 Find LSR (t) and USB (1) for the modulating signal m(t) = 7B sinc (27 BI) with B = 2000 Hz and carrier frequency fe = 10,000 Hz. Follow these steps: (a) Sketch spectra of m(t) and the corresponding DSB-SC signal 2m(t) cos wcl. (b) To find the LSB spectrum, suppress the USB in the DSB-SC spectrum found in part (a). (c) Find the LSB signal LSB (t), which is the inverse Fourier transform of the LSB spectrum found...
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.
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz....
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
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.
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...
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?
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...
4.2.1 For each of the baseband signals: (i) m(t) = cos 1000πι; (ii) m(1) = 2cos...
4.2.1 For each of the baseband signals: (i) m(t) = cos 1000πι; (ii) m(1) = 2cos sin 2000Tr; (ii) m(t) cos 1000t t cos 3000T t, do the following. (a) Sketch the spectrum of mt). (b) Sketch the spectrum of the DSB-SC signal mt) cos 10.000π. (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...
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...
4.4-4 Find LSR (t) and USB (1) for the modulating signal m(t) = 7B sinc (27 BI) with B = 2000 Hz and carrier frequency fe = 10,000 Hz. Follow these steps: (a) Sketch spectra of m(t) and the corresponding DSB-SC signal 2m(t) cos wcl. (b) To find the LSB spectrum, suppress the USB in the DSB-SC spectrum found in part (a). (c) Find the LSB signal LSB (t), which is the inverse Fourier transform of the LSB spectrum found...
Let m(t) = cos wmt denote the message signal to modulate with wm = 200 Hz. The carrier frequency is given by We = 100 Hz. You will perform modulation and demodulation of double sideband-suppresed carrier (DSB-SC). 1. Modulate m(t). (4 pts) Note: Denote the result of modulation as Smod(t). 2. Demodulate Smod(t). (6 pts) Note: Denote the result of modulation as Sdem(t). Note: To get full credits, strictly mark on m(t) recovered.
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...
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?
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...
4.2.1 For each of the baseband signals: (i) m(t) = cos 1000πι; (ii) m(1) = 2cos sin 2000Tr; (ii) m(t) cos 1000t t cos 3000T t, do the following. (a) Sketch the spectrum of mt). (b) Sketch the spectrum of the DSB-SC signal mt) cos 10.000π. (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...
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