Assume initially relaxed, solve for the response y(n) {0, 0, 1, 0, –2, 0 3} + y(n) -1 - 0.5 0.25

Q: Question #4. by a differential equation given as Input output relationship of a continuous time…

A: d2y(t)dt2-4y(t)=x(t)

Q: Q1. Evaluate the DFT X(k) of the five samples sequence defined by x(n)= 2 8(n) - 8(n-4) Using matrix…

A: In the beginning first of all we need to find the samples are we need to find the first five samples…

Q: Find and draw the waveform of the unit step response of a system with transfer function G(s) = 1-25…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: The system function of a causal LTI system is 1+z¬! H(2) = (1 – 0.5z-1)(1+ 0.25z-1)' a) What is the…

A: The system function of a causal LTI system is: H(z)=1+z-1(1-0.5z-1)(1+0.25z-1) a) We need to find…

Q: and Roc the 2-transform for the given xen, - 20 {1, 2, 3,2} X(²) = { 2, 21-16 + 1} x(n) 3, 2, -4, T…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 5. Find the DTFT{x1[n] * x2[n]} +-{ x₁ [n] = 1 n = −m, -m+1, -m+2,...m-1, m 0 otherwise x₂[n] = n>0…

A: The given discrete signals areWe need to determine the DTFT{x1[n]}.

Q: Calculate the convolution x[n] * h[n] for problem given in figure

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Q: Draw the root locus of the system with open-loop transfer function G(s) = (s?-4s+4) %3D…

A: Write the given transfer function. Gs=Ks2-4s+4s+42s2+4s+20=Ks-22s+42s+2-j4s+2+j4

Q: Q3) For the physical system shown, detemine the transfer function X1(8)/F(s) and X2(S) F(S).…

A: In this question we will find transfer function...

Q: For a system specified by the equation Y[nt]-a8y[n] = x[n+i]. find the system response to the input.…

A: Given:  System equation Y[n+1]-0.8Y[n]=x[n+1]. For the above system, we have to determine the…

Q: 5- The poles of a circuit transfer function are at p₁ 5, P2=-2 while the zeros are at Z₁ = -1, Z₂ =…

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Q: Given an input signal x(n)=()u(n), derive a solution for y(n) within the finite inter 0 ≤ n ≤N for…

A: We need to find out the output for given input and system , we will use z transform to find out…

Q: Given the ff. second-order differential equation: y[n] + 1.4y[n-1] + 0.45y[n-2] = x[n] - x[n-1]…

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Q: d²y(t) dt²- 4y(t) = x(t) where x(t) denotes the input while the output is denoted by y(t). The…

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Q: 2- If a given second-order system is required to have a settling time (2% criterion) less than 4…

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Q: Given the ff. second-order differential equation: y[n] + 1.4y[n-1] + 0.45y[n-2] = x[n] - x[n-1]…

A: solving the given difference equation using z transform

Q: Q1: Sketch the following sequences 1) -3.8 u(n-2) 2) x(n)…

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Q: Q4: Given the function √x,y(x, y) = {b(x + y)² -2<x<2 elsewhere and -3<y<3 (a) Find the constant b…

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Q: K₂ +K₁ P S 5 s(0.1s +1) The block diagram shown above has a proportional-plus-integral controller…

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Q: How can we write the convolution y(n)=x(n)*h(n) in terms of cross-corelation rxh in Z domain.

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Q: 1. Find the z-transform of the following signals: (a) æ [n] = (-0.9)" u [n] %3D (b) a [n] =…

A: Explanation: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Given two discrete-time signals x₁(n) = {0.9 0.5 0.8 1.0 1.5 2.0 ↑ 0.2} and x₂ (n) = {1.0 0.3 0.6…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Given that G₁ (s) = , and H (s) = 5 find the S+1 state error (if exist) for an imput signal equal…

A: Find the stady stae error for the given circuit:

Q: Problem 2 Please consider the discrete-time system x[k + 1] = [ [k+1 k+: 0 for the initial condition…

A: Everything that receives a discrete-time signal as input and outputs a discrete-time signal is…

Q: -1, 1 <n <4 x(n) = {"0, SInl, -3 < n< 3 y(n) 1, -4 <n< -1 elsewhere 0, elsewhere

A: We need to sketch the given signal .

Q: 1 Determine the :-transform of the following signals. (a) x(n) = {3, 0.0.0,0, 6, 1, –4) (b) x(n) =…

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Q: The output y[n] of a system T

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Q: The input output relation of a discrete time system has been given by second order differential…

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Q: samplesd, Determine the z tanform of the resulting x(aT) = sin 2Tfnt) %3D

A: In part c we need to find out z transform of sin(2πfnT) . We know direct formula for sine z…

Q: For the function given below, use the K-Map in order to lind the optimal product of sums expression…

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Q: Given the two sequences x[n] = [2, 3, 4] and h[n] = [1, 0,2], a) Find the circular convolution of…

A: Solution- Given sequence is,x[n] = [2,3,4]h[n] = [1,0,2]

Q: 2. Determine the convolution result y[n] of two signals x[n] and h[n]using the analytic method of…

A: Given signals are xn=15nun-3 and hn=25nun+1 We get yn by convolution of xn and hn that is yn=xn*hn…

Q: a) Find the expression for both E(s) and E'(s) as a function of R(s) [i.e., E(s) = R(s) - C(s), the…

A: The forward and feedback path transfer functions of a system are given as: respectively.To…

Q: Design a PID controller Gc(s) such that the dominant closed-loop poles are located at s = -1 + j√3.…

A: Step 1:Step 2:Step 3:

Q: Given the following second-order difference equation: y[n] + 1.4y[n – 1] + 0.45y[n – 2] = x[n] – r[n…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve for the zero-input, zero-state responses, and the total response of the system given the…

A: We need to determine the zero-input, zero-state, and total response of the system described as…

Q: 4. Simplify the following expression using a 4-variable Karnaugh map: (a) in sum-of- products form,…

A: Answer : given that  gq,r,s,t =∑m(3,6,7,8,9,11,12,13,15) +D(4,5,10,14) in case of minterms 0 is low…