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Determine the system function, impulse response, and zero-state response of the system shown in the below...
no need for pole-zero plot 7. Determine the system function, magnitude response, and phase response of...
no need for pole-zero plot
7. Determine the system function, magnitude response, and phase response of the fol- lowing systems and use the pole-zero pattern to explain the shape of their magnitude response (a) y[n] = 1(x(n]-x(n-1), ln -2
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the outp...
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
1. The impulse response of a second order system is shown below: Impulse Response Amplitude 1...
1. The impulse response of a second order system is shown below: Impulse Response Amplitude 1 1 2 3 5 6 7 Time (seconds) Please find the characteristic equation of this system. Please include detailed steps.
signal and system 8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 d...
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
For the LTI system described by the following impulse response:
For the LTI system described by the following impulse response: \(h(n)=n\left(\frac{1}{3}\right)^{n} u(n)+\left(-\frac{1}{4}\right)^{n} u(n)\)Determine the following:1) The system function representation,2) The Difference equation representation3) The pole-zero plot4) the output \(y(n)\) if the input \(x(n)\) is: \(x(n)=\left(\frac{1}{4}\right)^{n} u(n)\)
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of...
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h...
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h (n) = /1n un) h3(n) = u(n) 11n haln) = (3) "un) mon) - mm hi(n) h2(n) x(n) y(n) ☺ - Helm von h₃ (n) han) Figure 1. The system.
Solving simple system differential equation to understand Zero-State response, Initial Condition response, Total response, and Steady...
Solving simple system differential equation to understand Zero-State response, Initial Condition response, Total response, and Steady State response: Unit Impulse response and Convolution Integral (Zero-State response): 9) Two LTI systems in parallel h1(t)- e "u(t) and h2(t)- h1(t-2) a. Find the expression of the combined unit impulse response h(t) b. Find the zero state response y2s(t) in the expression of piecewise function to the input signal x(t)-[u(t)-u(t-10)] Sketch y2s(t) Show that the combined system h(t) is causal as well as...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal a [n] is passed (ii) Consider a signal In] whose DTFT is given by X(es*). What is the DTFT of ii) Suppose hi [n] is the impulse response of an ideal lowpass filter. Which of the options through the system, what is the output, written as a function of rn]? y[n] = x[n-3), written as a function of X(eM)? below is the impulse response...
no need for pole-zero plot
7. Determine the system function, magnitude response, and phase response of the fol- lowing systems and use the pole-zero pattern to explain the shape of their magnitude response (a) y[n] = 1(x(n]-x(n-1), ln -2
(a) A system has the impulse response, h[n], and is excited with the input signal, xIn], as shown below. Using either a mathematical or a graphical convolution technique, determine the output of the system, y[n] (that is, evaluate y[n] h[nl'xIn], where" denotes convolution). 17 marks xIn INPUT FIR filter 0.5 0.25 OUTPUT 0 1 345 6 7 .. 0.5 0123 4567 (b) An IIR filter is shown below: ylnl One sample delay (z) 0.4 i) Derive the difference equation describing...
1. The impulse response of a second order system is shown below: Impulse Response Amplitude 1 1 2 3 5 6 7 Time (seconds) Please find the characteristic equation of this system. Please include detailed steps.
signal and system
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
8) By using Laplace transform determine the transfer function and the impulse response of the system with equation below. y) is the output and u) is the input to the system + 6 dt2
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
Find the impulse response of the system shown in Figure 1. Assume that h(n) = h (n) = /1n un) h3(n) = u(n) 11n haln) = (3) "un) mon) - mm hi(n) h2(n) x(n) y(n) ☺ - Helm von h₃ (n) han) Figure 1. The system.
Solving simple system differential equation to understand Zero-State response, Initial Condition response, Total response, and Steady State response: Unit Impulse response and Convolution Integral (Zero-State response): 9) Two LTI systems in parallel h1(t)- e "u(t) and h2(t)- h1(t-2) a. Find the expression of the combined unit impulse response h(t) b. Find the zero state response y2s(t) in the expression of piecewise function to the input signal x(t)-[u(t)-u(t-10)] Sketch y2s(t) Show that the combined system h(t) is causal as well as...
Problem 1: The impulse response ht) for a particular LTI system is shown below hit) Be5e (4 cos(3t)+ 6 sin(3t) e. u(t) 1. Plot the impulse response for h(t) directly from the above equation by creating a time vector 2. Use the residue function to determine the transfer function H(s). Determine the locations of the poles and zeros of H(s) with the roots function, and plot them in the s-plane (x for poles, o for zeros). Use the freas function...
(i) An FIR system has the impulse response hln] = 3?[n 2 . When the signal a [n] is passed (ii) Consider a signal In] whose DTFT is given by X(es*). What is the DTFT of ii) Suppose hi [n] is the impulse response of an ideal lowpass filter. Which of the options through the system, what is the output, written as a function of rn]? y[n] = x[n-3), written as a function of X(eM)? below is the impulse response...
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