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Consider the SSB system shown below. We assume an ideal SSB that filters out the upper...
Make sure you show all working and describe each step in your calculations. 1. A signum function ...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t)...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet)...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
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...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN....
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Question 6: We will consider a piece-wise constant 1D signal in this part. Assume the signal...
Question 6: We will consider a piece-wise constant 1D signal in this part. Assume the signal (a function f(t)) contains S = 10 discrete sub-intervals of equal length. Each sub-interval contains 50 samples. This signal is given below in the variable signal acquired at sample locations sampling_locations (also provided below). Plot the 1D signal, create one plot with the regular plot commands and one plot with the stem command (use subplots to plot the two next to each other in...
signals and communications 2
Make sure you show all working and describe each step in your calculations. 1. A signum function is defined as sgn(t) = { 1、12 0 1 t<0 Plot and express this function in terms of the unit-step function. 5 marks/ Determine and plot the even and odd parts of the signal 2. x(t) (te-3 +2)u(t). 5 marks 3. If prove that y[n-m] = x[n-m] * h[n]. 5 marks 4. Assuming α > 0, plot the signal...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
Consider the RC circuit shown below. Assume that R=(0.1)2 and C=(0.1)F 3. R i(t) y (t) x(t) The input to this circuit is given as x(t) s(t)+ny (t), where the noise component of input, n(t), is a sample function realization of white noise process with an autocorrelation function given by Rpx(t) 8(T), and s (t) cos(6Tt) is the signal component of input. IS(fOI df, where S( a. Find the power of the signal component of input, Ps is the Fourier...
The input r(t) to a DSBSC receiver is a DSB signal s(t) = A m(t)cos (21fet) corrupted by additive white Gaussian noise with two-sided power spectral density N,/2, where No = 10-12 W/Hz, m(t) is a message signal bandlimited to 10 kHz. Average power of m(t) is Pm = 4 W and Ac = 2 mV. The block diagram of the receiver is shown below. Note that the receiver has filters which have slightly larger bandwidths than a typical DSB...
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...
Find the power of the signal conponent of a P is the Fourice t of s,(0)(2.5 points) edf,where S.f density of pu nose (2.5 points) . Consider the RL circuit shown below. Assume that R-10 and L-IN. Hint : Use Parseval's relationship if necessary i(t) e. What is the input signal-o-oise (SNR,ratio, defined as: SNR, 1olog..C)as polnts d. Find the output power spectral density of noise N,00 N,( HP, where HU) is the frequency response of the circuit, and N,(n)...
just looking for #2, 3, and 4
Problems: 1. Consider the system shown below. Let the input signal to the Ideal Sampler to be: s(t) = 2 cos(2m50t) + 4cos(2m100t) a. (10 points) Determine S(f) and plot it b. (20 points) Let the sampling rate to be: fs 300 samples/sec. Plot the spectrum of the Ideal sample, that is plot S8(f) c. Let the sampling rate to be: fs 175 samples/sec. i. (30 points) Plot S8(f) ii. (10 points) Let...
Question 6: We will consider a piece-wise constant 1D signal in this part. Assume the signal (a function f(t)) contains S = 10 discrete sub-intervals of equal length. Each sub-interval contains 50 samples. This signal is given below in the variable signal acquired at sample locations sampling_locations (also provided below). Plot the 1D signal, create one plot with the regular plot commands and one plot with the stem command (use subplots to plot the two next to each other in...
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