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A finite-time integrator has an impulse response of -0 elsewhere The input to this system is...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
Please respond as soon as possible, thank you. An LTI system has the impulse response h(T) = 1 for 0 <T<T and is...
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
A communication system operates in the presence of white noise with a two-sided power spectral density...
A communication system operates in the presence of white noise with a two-sided power spectral density Sn(w)=10^-14 W/Hz and with a path loss of 20 dB. Calculate the minimum required bandwidth and the minimum required power of the transmitter for a 10 kHz sinusoidal input and a 40 dB output signal to noise ratio if the modulation is a) DSB-SC b) SSB-SC c) FM with Af = 10 kHz
1. Consider the system shown in the figure below. The system is an integrator, in which...
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts)...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
Problem 1 (Marks: 2+1.5+1.5+4) A linear time-invariant system has following impulse response -(よ 0otherwise 1. Determine...
Problem 1 (Marks: 2+1.5+1.5+4) A linear time-invariant system has following impulse response -(よ 0otherwise 1. Determine if the system is stable or not. (Marks: 2) 2. Determine if the system is causal or non-causal. (Marks: 2) 3. Determine if the system is finite impulse response (FIR) or infinite impulse response (IIR). (Marks: 2) 4. If the system has input 2(n) = δ(n)-6(n-1) + δ(n-2), determine output y(n) = h(n)*2(n) for n=-1, 0, 1, 2, 3, 4, 5, 6, (Marks: 4)
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(...
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the answer below.
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the...
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using...
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator:...
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n),...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function of Y(t)
Problem 4 Let X(t), a continuous-time white noise process with zero mean and power spectral density equal to 2, be the input to an LTI system with impulse response h(t)- 0 otherwise of Y (t). Sketch the autocorrelation function...
Please respond as soon as possible, thank you.
An LTI system has the impulse response h(T) = 1 for 0 <T<T and is zero otherwise. If continuous-time white noise with ACF ru(T) = (No/2)8(T) is input to the system, what is the PSD of the output random process? Sketch the PSD.
A communication system operates in the presence of white noise with a two-sided power spectral density Sn(w)=10^-14 W/Hz and with a path loss of 20 dB. Calculate the minimum required bandwidth and the minimum required power of the transmitter for a 10 kHz sinusoidal input and a 40 dB output signal to noise ratio if the modulation is a) DSB-SC b) SSB-SC c) FM with Af = 10 kHz
1. Consider the system shown in the figure below. The system is an integrator, in which the output is the integral: y(t)x()dr -00 Integrator x(t) y(t) (a) We may determine the impulse response h(t) by applying an impulse signal to the integrator, i.e. x(t) -5(t). What is the impulse response? Answer: (10 points) (b) The output of the integrator may be found by apply convolution method to determine the output. The convolution of the two signals is expressed a)ht -...
Question 1 (10 pts): Consider the continuous-time LTI system S whose unit impulse response h is given by Le., h consists of a unit impulse at time 0 followed by a unit impulse at time (a) (2pts) Obtain and plot the unit step response of S. (b) (2pts) Is S stable? Is it causal? Explain Two unrelated questions (c) (2pts) Is the ideal low-pass continuous-time filter (frequency response H(w) for H()0 otherwise) causal? Explain (d) (4 pts) Is the discrete-time...
Problem 1 (Marks: 2+1.5+1.5+4) A linear time-invariant system has following impulse response -(よ 0otherwise 1. Determine if the system is stable or not. (Marks: 2) 2. Determine if the system is causal or non-causal. (Marks: 2) 3. Determine if the system is finite impulse response (FIR) or infinite impulse response (IIR). (Marks: 2) 4. If the system has input 2(n) = δ(n)-6(n-1) + δ(n-2), determine output y(n) = h(n)*2(n) for n=-1, 0, 1, 2, 3, 4, 5, 6, (Marks: 4)
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the answer below.
The impulse response of a discrete time system is given by h(n) 1-121 To such a system apply an input of the type we x(n) [2 1 2 3 Use MATLAB to convolve the two sequences and enter the...
4. Convolution EX4. The input X(t) and impulse response h(t) for a system are given. Using convolution evaluating the system output y(t). X(t)=1 O<t1 h(t)=sin pi*t 0<<2 =0 else where =0 elsewhere Xit) ↑ hlt) E mer
tions. 1. A leaky integrator: y(n) - Ax(n) + (1 -A)y(n-1), 0< A<1 2. A differentiator: y(n)= 0.5x(n)-0.5x(n-2) (2) Draw the unit impulse responses of the above two processes. A = 0.5 (Hint: you just need to draw a picture that y-axis is y(n) and x-axis is n (time). The input is the unit impulse x(n) = δ(n). ) (3) A linear time-invariant (LTD) system can be represented by the impulse response hn). What is the iff condition on h(n),...
4. (20 points) An ideal analog integrator is described by the system function: H(s) 1) Design a discrete-time "integrator" using the bilinear transformation with Ts 2 sec. t is the difference equation relating xin) to yin) thint: divide top and bottom of H(Z) by ) 3) Determine the unit sample (impulse) response of the digital fite. 4) Assuming a sampling frequency of 0.5 Hz, use the impulse invariance method to find an approximation for Hz). Hint: Inverse Laplace Transform of...
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