Question (4) A system has the state-space equations 11 |x1(k) 31 [x2(k). |x(k)| y(k) = [-2 1] x2(k)] |x1(k+ 1) %3D a. The system transfer function

Q: n=5:50 , with arbitrary input signals. determine whether this system is time-invariant or not

A: If we shift input by some ammount let say n0  And then we shift input by same amount in time domain…

Q: H(s) k V

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Q: Problem 16: Consider the system 5 G(s) = s(s+3)(s² +2s+1) Then the system is: ANS: (a) controllable…

A: it is asked to find whether the given system is controllable , observable??

Q: Two sequences a[n] and b[n] satisfy the equation grn} - O1 2 bln-3] + g[n-2] * a[n+1] = 0 where g[n]…

A: A transfer function of a system, component or sub-system, is a mathematical function that modifies…

Q: 14 Consider the sequences *1(n) = {(0, 1, 2, 3, 4}, x2(1) = {0, 1, 0, 0, 0), s(n) = (1, 0.0,0, 0}…

A: Given: Consider the sequences and their five-point DFTs: To find: (a) Determine a sequence y(n) so…

Q: A discrete time system with input u[k] and output y[k] is described by the difference equation y[k]…

A: A discrete-time system with input u[k] and output y[k] is described by the difference equation:…

Q: Using Nyquist criterion, is the system stable? R(s) 50 C(s) s2(s + 1) (s + 4) System 2 O No answer…

A: Given:  Brief description: In the above given system they want to know the stability of the given…

Q: y(s) 2 x(s) (s² + 23wns + 1) = a. Let Wn = 1, Obtain the poles of the system for 3 = 0, 0.1, 0.7, 1,…

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Q: For the following system, accurately hand sketch the root locus and identify the following…

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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: Q4: Let x(t) represent the signal shown in the following plot. X(L) Assume that x(t) can be written…

A: Note: For even signal x( t)= x(-t) For odd signal x(t)= -x(-t) Even signal is reflection across y…

Q: 1a)Convolve x[n]= [x[0]=3 5 7 9] with h[n]= [h[0]=1 2 3] using DFT and N=5 point circular…

A: AIM to solve above question in two types of convolution strategies and i attached the image below::

Q: 1) Generate the following signals and plot in one figure: a) 2r(t) b) X[n]=u[n+1]- 8 [n];n = –3 to 2

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Q: Example2: Solve the difference equation 1 yln] -yln – 1] = x[n]. where x[n] K8[n], and the initial…

A: Here  difference equation is given so take the z transform on both sides then find the transfer…

Q: 2) Realize F(A, B, C) = E m(0, 2, 4, 5, 6) using three (4-1) multiplexers

A: MULTIPLEXER: The multiplexer is a combinational circuit that is used to connect multiple input…

Q: Convert to SmartArt- e AY- Aa A D Paragraph Font Size of Signals The size of any entity is a number…

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Q: 4. Solve for the zero-input, zero-state responses, and the total response of the system shown below.…

A: Given: Inital conditions, y-t=1y-2=1 and  xn=3un To find: Zero-input, zero-state response

Q: The closed loop system shown is stable for values of k less than .. R(s) Y(s) G(s) G(s) = a=1.38.…

A: the closed loop system shown is stable for values of k less than: G(S)=k/(s + a)8, a=1.38

Q: 9. if C(s) ,the form of response will be %3D s(s²+4s+3) c(t) = (Write in A, B,C for residues) 10. o…

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Q: Q4: For each of the rotational mechanical systems shown below, find the transfer function G(s)=…

A: Given: For the rotational mechanical system shown below: To find: Write but do not solve the…

Q: 9.1. Determine which of the following discrete-time functions is different: (a) x[n] = u[n] + u[-1 -…

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Q: Q1) B A continuous state-space representation of a sys N-C-A y = [1 0 [x₂] Find the zero order hold…

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Q: While using partial fraction method, if 1 A В + (s+3)(s+10) (s+3) (s+10) then the value of A=

A: According to the question we have to find the value of A.

Q: Q2) Let the discrete-time signal z[n] be shown below z[n] 1 0 0 0 00 0 0 -2 -1 0 0 00 00 n A)…

A: We need write the given signal in term of step function and we need to check whether it is energy…

Q: X₁ X₂ -4 -3 - 3 || X ₁ - KH 1 0 X2 of x y = [10] X₂ 2 + u 0

A: it is asked to find the diagonal representation of given state space representation and to find its…

Q: A discrete time LTI system is described by the difference equation below. 8y[n] – 6y[n – 1] = x[n].…

A: The discrete LTI system is described by the following equation- 8yn-6yn-1=xn (a)The homogeneous…

Q: The Moore state diagram on the right shows input w on edges and output z in states.   (a) Draw the…

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Q: 4 For the sequences 2л 0sns N-1 x1 (1) = cos -n. (n) = sin n, N N determine the N-point: (a)…

A: Given  :x1n=cos2πnNx2n=sin2πnN

Q: e) Find the impulse response by finding the inverse of H(z) (method of partial fraction exp)

A: We are answering e only as specified. e) The above difference equation is given as: yn+16yn-2=xn It…

Q: (Discrete time signal x₁(n) = (0.2)^u(n-1) and x₂(n) = u(n) – u(n − 1) is operated with x[n] =…

A: Given, Signals are  x1(n) = (0.2)nu(n-1)  x2(n) = u(n) - u(n-1) We need to find convolution of x1(n)…

Q: 1) Generate the following signals and plot in one figure: a) 2r(t) b) X[n]=u[n+1]- 8[n]; n = –3 to 2

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Q: Using the Nyquist criterion, find the range of K for stability of the system in Figure (a) below.…

A: The given control system isThe Nyquist plot for K=1 isWe need to find the range of 'K' for system…

Q: Let's consider the serial RLC circuit on the side. Let V= 0 input. R, L, C I are positive constant…

A: The state space of a dynamical system is the set of all possible states of the system. Each…

Q: Question 3 Determine the error in the following code that avoids it from running: clear;clc…

A: Given, MATLAB CODE: clear;clcx=0:0.1:10for k=1:length(x)    y(k)=funct(x(k))endfunction r=funct(s)…

Q: Q4: Given x(n) = {1, 2, 3, 4) and if: x₁ (n) = {4,1,2,3) x₂ (n)= (2,3,4,1} Find X(K), X₁(k) and…

A: It is given that: xn=1,2,3,4x1n=4,1,2,3x2n=2,3,4,1

Q: Generate and plot each of the following sequences over the indicated interval a) x(n) = 2*delta(n+2)…

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Q: Ql: Sketch and label the following carefully y(n) = x(n) = 48(n) + 28(n – 1) + 8(n – 2) u(n) - u(n-…

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Q: A real value signal x[n] is said to be antisymmetric if a. x(n) =x(−n) b. x(n) = x(−n) c. x(n)…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…