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1.5 Given the signal: m(t) = 5 cos 4000nt cos 6000ft. a) What is the minimum...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π...
Q1) Given an analog signal X(t) = 3 cos (2π . 2000t) + 2 cos (2π . 5500t) sampled at a rate of 10,000 Hz, a. Sketch the spectrum of the sampled signal up to 20 kHz; b. Sketch the recovered analog signal spectrum if an ideal lowpass filter with a cutoff frequency of 4 kHz is used to filter the sampled signal in order to recover the original signal ; c. Determine the frequency/frequencies of aliasing noise . Q2)...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in thi...
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
1. Signal f(t) : (5 + rect( )) cos(60πt) is mixed with signal cos(60πt) to produce the signal y(t...
1. Signal f(t) : (5 + rect( )) cos(60πt) is mixed with signal cos(60πt) to produce the signal y(t). Subsequently, COS y(t) is low-pass filtered with a system having frequency response H(w) = 4recG ) to produce q(t). Sketch F(w),Y(w), Q(u), and determine q(t) 2. If signal f(t) is not band-limited, would it be possible to reconstruct f(t) exactly from its samples f(nT) taken with some finite sampling interval T> 0? Explain your reasoning
1. Signal f(t) : (5 +...
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the...
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt), Band pass filter c. Cos(wt), Low pass filter d. Cos2 (wt), Band pass filter
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt),...
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...
1. A modulating signal m(t) is given by m(t) = 5 (cos(20nt) – cos(40nt)) a. Find...
1. A modulating signal m(t) is given by m(t) = 5 (cos(20nt) – cos(40nt)) a. Find and sketch the spectrum of DSB-SC signal 2m(t)cos (100nt) b. Verify that the DSB-SC modulated signal can be recovered using coherent detection.
5. Plot the signal in the assigned area (10 bonus points): (a + m(t)) cos [1...
5. Plot the signal in the assigned area (10 bonus points): (a + m(t)) cos [1 + m[i] cos w O Low-pass filter RI
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points...
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos...
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos 120mt cos 120nt (v) is used in the design of a data acquisition system. The system is to transmit a 4-bit digital signal at a certain bit-rate to a remote terminal. Calculate the following for the system: (6) What is the minimum sampling-rate (sampling frequency) for the system at which the signal can be perfectly reconstructed? (ii) What is a suitable quantization step-size for...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
2. Consider the signal f(t) = 20 cos(5t) + cos(9t) sin(5t) - 7 (a) What is the highest angular frequency present in this signal? What is the highest numerical frequency present in this signal? (b) What is the Nyquist frequency? rate for this signal? Did you use the angular or the numerical (c) If you sample this signal with sampling period T, which values of T may you choose to be in accordance with the Nyquist rate? Choose and fix...
1. Signal f(t) : (5 + rect( )) cos(60πt) is mixed with signal cos(60πt) to produce the signal y(t). Subsequently, COS y(t) is low-pass filtered with a system having frequency response H(w) = 4recG ) to produce q(t). Sketch F(w),Y(w), Q(u), and determine q(t) 2. If signal f(t) is not band-limited, would it be possible to reconstruct f(t) exactly from its samples f(nT) taken with some finite sampling interval T> 0? Explain your reasoning
1. Signal f(t) : (5 +...
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt), Band pass filter c. Cos(wt), Low pass filter d. Cos2 (wt), Band pass filter
8) For the modulated signal m(t)Cos(wt in the demodulation process to recover the original signal m( )which of the following signals and filters will be used a. Sin(2wt), Low pass filter b. Cos(2wt),...
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...
1. A modulating signal m(t) is given by m(t) = 5 (cos(20nt) – cos(40nt)) a. Find and sketch the spectrum of DSB-SC signal 2m(t)cos (100nt) b. Verify that the DSB-SC modulated signal can be recovered using coherent detection.
5. Plot the signal in the assigned area (10 bonus points): (a + m(t)) cos [1 + m[i] cos w O Low-pass filter RI
3.(30 points) Pulse Code Modulation A-to-D Ideal Lowf Pass Filter xit)- #x) cos(2rfet) (10 points) Consider the system in the above figure. The ideal low pass filter is one which has a brick-wall frequency response (or an ideal sinc function for its impulse response). If the bandwidth of the ideal low pass filter is IkHz and B 2kHz is the bandwidth of a bandpass signal x(t) that is centered at fo 19700Hz, determine the minimum sampling rate fs to avoid...
) What is data acquisition? Explain what it involves. ) A sinusoidal signal s(t) 5+10 cos 120mt cos 120nt (v) is used in the design of a data acquisition system. The system is to transmit a 4-bit digital signal at a certain bit-rate to a remote terminal. Calculate the following for the system: (6) What is the minimum sampling-rate (sampling frequency) for the system at which the signal can be perfectly reconstructed? (ii) What is a suitable quantization step-size for...
. Problem 1: The signal r(t) = 2 cos(27300t) + cos(27 400t) is sampled with sampling frequencies a) 2. = 20007 and b) 2. = 15007. 1) Sketch the amplitude spectra of the sampled signal r(t) in both cases. 2) Sketch the output of the ideal low pass filter with a cut-off frequency 1000m in both cases.
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