a) In the Bilinear transformation method, the mapping from the s-plane iIs given 2z-1 by s== Tz+1 show that if r<0, then o<0 or the left hand s-plane maps into the unit circle in the z-plane.

Q: Express (4-3/)2 in polar form. Express the following in polar form: a. -1 b. j c. -

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Q: Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system that has the…

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Q: Given that Z1 = 10+j5 and Z2 = 20- reduce Z1+Z2, Z1-Z2,Z1Z2 and Z1/Z2 to rectangular form.

A: When we add or subtract two complex number the real part is added or subtracted to real part and…

Q: b)Find Z¹-Transform for X(z) = (Z+1) (Z³+Z²-0.09Z-0.09) ( 28) 27 -1 0.09 (0.09 0/u

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Q: Find Z-transform if z-2 5 – If x(z) find: (2-z-2) (a) [x(n) + x(n –- 3)] * x(n) (b)x(n + 3) + 8(n –…

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Q: Expand the following z-transform functions as power series in z -1 , and find their first five…

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Q: Using the Routh-Hurwitz criterion, how many poles are in the right half-plane, the left half-plane,…

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Q: The following Boolean function Z= (A+B+C')(A+B'+C')(A'+B'+C)(A'+B'+C') is equivalent to which of the…

A: SOP (Sum of product)- It is a minimization technique of Boolean expressions in form of sum of…

Q: Q8// Calculate Z'-Transform for the function X(z) = Z/ { Z³ + Z (3-e') - 3e }

A: As per our company guidelines we are supposed to answer only first question , kindly repost other…

Q: (c ) -For the circuit shown in figure,Given that R1=5;R2=3; Xc=-j5;XI=j10; Al=22-30; A2=5Z0,f=50Hz,…

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Q: 1. Determine z- transform. Sketch pole-zero plot. Indicate ROC. x[n] = 2" u[-n] + (1/4)" u[n-1] %3D

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Q: Apply the R.C (Routh Criterion) on the following polynomial, to find how ma roots with positive real…

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Q: Expand the following z-transform functions as power series in z -1 , and find their first five…

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Q: sin(x)=x^2-1  Plot the graph of the given equation in MATLAB. Determine the root of the equation in…

A: Write the MATLAB code provided, and RUN the script.

Q: In order to change the behavior of a 2nd order underdamped system, we need to move its closed-loop…

A: Transfer Function of Second order system is given as: T/F=ωn2s2+2ξωns+ωn2 Characteristics equation…

Q: C=IZ-2i1=3 √ _dz (Z²+8)²

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Q: 84 G(s): s(s7+5s*+12s+25s*+45s³+50s2 +82s+60)

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Q: The characteristic equations of certain control systems are given below. Find the number of roots in…

A: The solution is given below

Q: What is the general form of the response of H(z) = excited by a step sequence? z² + 2z+1 (z −…

A: The above question is based on the response of a system in the z-domain.

Q: ear transformation can be described as Bilinear transformation is a mapping that prevents aliasing…

A: we need to answer what is mean by bilateral transformation.

Q: Find all the possible h (n) given the equation below. (HINT: there are 8 possible signals for this)…

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Q: Given the Z-transform 5z-4 X(z) = %3D z²+z-2 What are the 3 possible regions of convergence for this…

A: Given : z-transform, X(z)=5z-4z2+z-2 X(z)=5z-4×z·z-1 z2+z-2X(z)z=5z-4×z-1 z2+2z-z-2X(z)z=5z-4×z-1…

Q: How many roots the following characteristic equation has on LHP, on RHP, and on the imaginary axis.…

A: When a system is disturbed from its original state and comes back to its original state, then it is…

Q: Problem 61 (Phasor transform) Given the circuit in Figure 6, find the value of R and L Given: ● ●…

A: In this question, we need to determine the value of R and L as shown the circuit l.

Q: 1. – 4.) Sketch the positive root locus of the system shown below with the following choices of…

A: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: ind inverse Z- Transformation for: 7² (Z-1) (Z-0.5) X(Z) =

A: The Z-transform is a mathematical technique used in digital signal processing and control system…

Q: What are the conditions to be satisfied for the root locus to exist at any point in s-plane

A: The conditions to be satisfied for the root locus to exist at any point in the s-pane are:  Angle…

Q: x(2t - 1) 2 2 2

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Q: The number of poles lying on right side of S-Plane for the following R-H array are= , S5 1 a b S4 -3…

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Q: Using Routh-Hurwitz stability criterion, determine the stability of the systems with the…

A: The stability of the system can be obtained by using Routh Hurwitz criterion. Based on the sign…

Q: Solve using K-maps: P(x,y,z) = ∑ (1,2,4,5,7)…

A: Given Boolean function, F(x,y,z) = ∑ (1,2,4,5,7)

Q: Referring to the characteristic equation below: s4 + 2s³ +(4+ K)s² +9s + 25 = 0 a. Set up the…

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Q: For the system shown in Figure R(s) K (s + 2)(s +3) 2-4s +8 (s- + 2s + 5) Determine:- The open loop…

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Q: By using R = rho l/A. Prove by using partial derivative how delta R /R= delta l/l + delta rho/rho -…

A: By using R=ρIA Ω to Prove by using partial derivative how ∆RR=∆ρρ-∆AA where l is length, ρ is…

Q: Consider the system function 1+ 22-¹+2-² 1-0.752-¹+0.125z-² H(z) and sketch the system block diagram…

A: here we have to draw the direct form I and direct form II and parallel form structures.

Q: The model of another system is as follows. The input is the voltage v,, the outputs are vg and v, Ra…

A: Given the input is voltage Vs , the outputs are VR and VL Where "Ra" and "La" are the constants…

Q: In order to change the behavior of a 2nd order underdamped system, we need to move its closed-loop…

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