Consider the difference equation y(n) = -0.6y(n-1) - x(n-1) for n>=0 and y(-1) = 0 1....
Consider the difference equation y(n) = -0.6y(n-1) - x(n-1) for n>=0 and y(-1) = 0
1. WITHOUT using Laplace or Z-Transform, determine the unit-impulse response h(n) starting from h(0).
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Consider the difference equation y(n) = -0.6y(n-1) - x(n-1) for n>=0 and y(-1) = 0 1....
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation
Consider an LTI system with input sequence x[n] and output sequence y[n] that satisfy the difference equation 3y[n] – 7y[n – 1] + 2y[n – 2] = 3x[n] – 3x[n – 1] (2.1) The fact that sequences x[ ] and y[ ] are in input-output relation and satisfy (2.1) does not yet determine which LTI system. a) We assume each possible input sequence to this system has its Z-transform and that the impulse response of this system also has its Z-transform. Express the...
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using...
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using the Z-transform, determine the system's zero-input response for the initial value of y[0] 1/3. The solution directly in the time domain is not accepted
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation...
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation y[n – 1] + 3 y[n] + $y[n + 1] = x[n]. Determine the three possible choices for the impulse response that makes this system 1) causal, 2) two-sided and 3) anti-causal. Then for each case, determine if the system is stable or not. Causality Impulse Response Stability Causal Unstable v two-sided Unstable anti-Causal Unstable y In your answers, enter z(n) for a discrete-time...
Consider a DT system with input x[n] and output y[n] described by the difference equation 4y[n+1]...
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n]...
Please solve using the Discrete-Time Fourier Transform: Given a filter described by the difference equation y[n] = x[n] + 2x[n - 1] + x[n - 3] where x[n] is the input signal and y[n] is the output signal. a) Find H[n] the impulse response of the filter. b) Plot the impulse response c) Find the value of H( Ω) for the following values of Ω = 0, pi, pi/2, and pi/4
Consider the system:y[n]-0.5y[n-1]-0.25y[n-2]=x[n]+2x[n-1]+x[n-2] • Plot, using MATLAB, the impulse and step responses of the system. Highlight...
Consider the system:y[n]-0.5y[n-1]-0.25y[n-2]=x[n]+2x[n-1]+x[n-2] • Plot, using MATLAB, the impulse and step responses of the system. Highlight the response characteristics in your plots • Assume initial conditions y(-1) = 1, y(-2) = 0 and that the input signal to the system is a discrete-time unit step. Determine the formula for the Z-transform of the solution, Y(z). Subsequently, determine the formula for the solution, y[n], itself.
P2.19 A linear and time-invariant system is described by the difference equation y(n) 0.5y(n 10.25y(n 2)-x(n)...
P2.19 A linear and time-invariant system is described by the difference equation y(n) 0.5y(n 10.25y(n 2)-x(n) + 2r(n - 1) + r(n -3) 1. Using the filter function, compute and plot the impulse response of the system over 0n100. 2. Determine the stability of the system from this impulse response. 3. If the input to this system is r(n) 5 3 cos(0.2Tm) 4sin(0.6Tn)] u(n), determine the 200 using the filter function response y(n) over 0 n
b) Consider a simple difference equation ln)- x(n)+ax(n-D), where n7 is the input, y(n) is the output and D is a delay....
b) Consider a simple difference equation ln)- x(n)+ax(n-D), where n7 is the input, y(n) is the output and D is a delay. Draw a block diagram of this filter and give a physical interpretation. Find its impulse response and transfer function. Calculate the zeros of the transfer function in terms of z Find the corresponding frequency response as well as the minimum and maximum values of the magnitude of the frequency response function.
b) Consider a simple difference equation ln)-...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
Question 3. Consider the DT system described by the difference equation y[n+1]+ 0.3 y[n] 0.4x[n] Using the Z-transform, determine the system's zero-input response for the initial value of y[0] 1/3. The solution directly in the time domain is not accepted
Consider an LTI system whose input x[n] and output y[n] are related by the difference equation y[n – 1] + 3 y[n] + $y[n + 1] = x[n]. Determine the three possible choices for the impulse response that makes this system 1) causal, 2) two-sided and 3) anti-causal. Then for each case, determine if the system is stable or not. Causality Impulse Response Stability Causal Unstable v two-sided Unstable anti-Causal Unstable y In your answers, enter z(n) for a discrete-time...
Consider a DT system with input x[n] and output y[n] described
by the difference equation 4y[n+1]+y[n-1]=8x[n+1]+8x[n]
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order of this system? (b) Determine the characteristic mode(s) of the system (c) Determine a closed-form expression for the system's impulse response hln].
73 Consider a DT system with input xin and output yin] described by the difference equation (a) What is the order...
P2.19 A linear and time-invariant system is described by the difference equation y(n) 0.5y(n 10.25y(n 2)-x(n) + 2r(n - 1) + r(n -3) 1. Using the filter function, compute and plot the impulse response of the system over 0n100. 2. Determine the stability of the system from this impulse response. 3. If the input to this system is r(n) 5 3 cos(0.2Tm) 4sin(0.6Tn)] u(n), determine the 200 using the filter function response y(n) over 0 n
b) Consider a simple difference equation ln)- x(n)+ax(n-D), where n7 is the input, y(n) is the output and D is a delay. Draw a block diagram of this filter and give a physical interpretation. Find its impulse response and transfer function. Calculate the zeros of the transfer function in terms of z Find the corresponding frequency response as well as the minimum and maximum values of the magnitude of the frequency response function.
b) Consider a simple difference equation ln)-...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
For the causal filter below y(n) x(n) -20 eja 1-0.8e10 Write the difference equation(show the equation clearly and define coefficients) Give and plot the frequency response magnitude (show the equation clearly) Compute and plot the impulse response using MATLAB d a. b. c. Use MATLAB to determine steady state response due to x(n)-u(n) Write a MATLAB program to compute and plot the frequency response of the overall system. Give plots in dB and the program e.
For the causal filter...
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