![The system function of a certain filter is 1- z-1 1+0.8z-1 H(z) - a) Is this filter causal? Answer: Yes No circle one b) Give the Poles and Zeros of the System: Answer: Poles rope c) Give the unit-sample response (the system has zero initial conditions) Answer: hn]- d) Give the unit-step response of the system at rest using the Z-Transform.That is, the output of the system when the input is a unit step. Answer:yuln]](http://img.homeworklib.com/questions/28945a40-b71f-11ea-a9dc-dbbb084223c2.png?x-oss-process=image/resize,w_560)
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The system function of a certain filter is...
please answer them indetail. thanks 4. Let x(n) be a causal sequence. a) b) what conclusion...
please answer them indetail. thanks
4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
For a causal LTI discrete-time system described by the difference equation:
For a causal LTI discrete-time system described by the difference equation: y[n] + y[n – 1] = x[n] a) Find the transfer function H(z).b) Find poles and zeros and then mark them on the z-plane (pole-zero plot). Is this system BIBO? c) Find its impulse response h[n]. d) Draw the z-domain block diagram (using the unit delay block z-1) of the discrete-time system. e) Find the output y[n] for input x[n] = 10 u[n] if all initial conditions are 0.
Problem 3 (30 points) An LTI system has an impulse response hin], whose z-transform equals 1-1...
Problem 3 (30 points) An LTI system has an impulse response hin], whose z-transform equals 1-1 1. List all the poles and zeros of H(2). Sketch the pole-zero plot.. 2. If this system is causal, provide the ROC of H(2) and the expression of hin. case, is this system also stable? 3. If the ROC of H(z) does not exist, provide and the expression of hn.
Please answer all parts or dont answer any of them. Analyzing Models step(sys,t) impulse(sys,t) Isim(sys,u,t) Time...
Please answer all parts or dont answer any of them.
Analyzing Models step(sys,t) impulse(sys,t) Isim(sys,u,t) Time response for step input Time response for impulse input Time response for arbitrary input the system G6)55+6 EX Plot the responses o (a) step input, (b) impulse input; (c) sin(2/) ANS Poles and Zeros p-pole(sys) z-zero(sys) EX Find the poles and zcros for the following system Computes the poles p of the LTI model sys (p is a column vector). Returns the zeros of...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) fil...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) filter (i.e., having two poles and two zeros, including those at 0 and oo) using pole-zero placement. (a) [5 pts] Where might you place the poles and zeros to achieve the following magnitude frequency response? Sketch the pole-zero plot in the complex z-plane. -Π -Tt/2 0 (b) [3 pts] Give an expression for the transfer function H(z). Justify your answer. (c) [2 pts] Write an expression...
A causal discrete-time LTI system is described by the equation
A causal discrete-time LTI system is described by the equationwhere z is the input signal, and y the output signal y(n) = 1/3x(n) + 1/3x(n -1) + 1/3x(n - 2) (a) Sketch the impulse response of the system. (b) What is the dc gain of the system? (Find Hf(0).) (c) Sketch the output of the system when the input x(n) is the constant unity signal, x(n) = 1. (d) Sketch the output of the system when the input x(n) is the unit step signal, x(n)...
Please answer ALL parts to this digital signal processing question: Please show your working The figure below repr...
Please answer ALL parts to this digital signal processing question:
Please show your working
The figure below represents a biquadratic digital filter in state-variable realisation form: Unit delay delay win-2 The values of the multipliers are as follows Answer the following questions, giving answers to four decimal places. PART 1 Determine the time domain equations that relate the input r[n] to the intermediate system variable ton and the output yin] to the intermediate system variable and complete the following: PART...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] –...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2)...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2) = 1-0 8-1 R.O.C [z] > 0.8 (Hint: Use the z-transform and Partial Fraction Expansion to fill in the blanks.) The steady state unit-step response of the above filter is: Yuss [n] = — u[n]
please answer them indetail. thanks
4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...
Answer the following questions for a causal digital filter with the following system function H(z) 23-2+0.64z-0.64 1-1. (0.5 point) Locate the poles and zeros of H(z) on the z-plane. (sol) 1-2. (1.5 point) Sketch the magnitude spectrum, H(e i), of the filter. Find the exact values of lH(eml. IH(efr/2)I, and IH(e") , (sol) 1-3. (1 point) Relocate only one pole so that 9 s Hle)s 10 (sol) 1-4 (1 point) Take the inverse Z-transform on H(z) to find the impulse...
Problem 3 (30 points) An LTI system has an impulse response hin], whose z-transform equals 1-1 1. List all the poles and zeros of H(2). Sketch the pole-zero plot.. 2. If this system is causal, provide the ROC of H(2) and the expression of hin. case, is this system also stable? 3. If the ROC of H(z) does not exist, provide and the expression of hn.
Please answer all parts or dont answer any of them.
Analyzing Models step(sys,t) impulse(sys,t) Isim(sys,u,t) Time response for step input Time response for impulse input Time response for arbitrary input the system G6)55+6 EX Plot the responses o (a) step input, (b) impulse input; (c) sin(2/) ANS Poles and Zeros p-pole(sys) z-zero(sys) EX Find the poles and zcros for the following system Computes the poles p of the LTI model sys (p is a column vector). Returns the zeros of...
1. Pole-zero placement. We wish to design a stable and causal second-order discrete-time (DT) filter (i.e., having two poles and two zeros, including those at 0 and oo) using pole-zero placement. (a) [5 pts] Where might you place the poles and zeros to achieve the following magnitude frequency response? Sketch the pole-zero plot in the complex z-plane. -Π -Tt/2 0 (b) [3 pts] Give an expression for the transfer function H(z). Justify your answer. (c) [2 pts] Write an expression...
Please answer ALL parts to this digital signal processing question:
Please show your working
The figure below represents a biquadratic digital filter in state-variable realisation form: Unit delay delay win-2 The values of the multipliers are as follows Answer the following questions, giving answers to four decimal places. PART 1 Determine the time domain equations that relate the input r[n] to the intermediate system variable ton and the output yin] to the intermediate system variable and complete the following: PART...
A linear time invariant system has an impulse response given by h[n] = 2(-0.5)" u[n] – 3(0.5)2º u[n] where u[n] is the unit step function. a) Find the z-domain transfer function H(2). b) Draw pole-zero plot of the system and indicate the region of convergence. c) is the system stable? Explain. d) is the system causal? Explain. e) Find the unit step response s[n] of the system, that is, the response to the unit step input. f) Provide a linear...
A discrete time LTI filter at rest is given by its system function H(z), 1+z-1 H2) = 1-0 8-1 R.O.C [z] > 0.8 (Hint: Use the z-transform and Partial Fraction Expansion to fill in the blanks.) The steady state unit-step response of the above filter is: Yuss [n] = — u[n]
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