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Q: t/t If fi(t)= 3e For t>o f2(t)=4 rect(t/8) Draw the functions & Find f1(t)*f2(t)

A: Given Data:he continuous-time signals of,To Find:Sketch and Find convolution.

Q: (e) Full-wave rectifier. Show that the Laplace trans- form of the full-wave rectification of sin ast…

A: c) Given, The full wave rectified sine wave signal

Q: dx + 4 + 2r = 1 di dt with the initial conditions x(O) = 2, = -2. %3D Show a block diagram of the…

A: Differential equation : It is a equation that relates no. of unknown function to their derivatives.…

Q: When the unit step function is applied to the system input given the block diagram below, the output…

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Q: What is the  following signal u(t-t1]={1 t> t1…

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Q: If the input of a first order system is a unit step, the step response is c (t) = 1-exp (-at) Select…

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Q: Consider the second-order system: dx₁ dt = -ax₁, dx₂ dt = -bx₁-CX₂ where a, b, c > 0. What can you…

A: Control System: A control system is a group of devices that work together to coordinate, command,…

Q: Description 1. Find the z-transform of each of the following sequences: (a) x(n) = u(n) – u(n-12)…

A: The solution is given below

Q: a) Prove the following theorems for the (unilateral) Z-transform Initial -and Final- Value Theorems…

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Q: Q2. A zero initial conditions DSP system is described by y(n)+y(n-1)+2y(n-2)-x(n)=0 1- Find the…

A: Given DSP system is  yn+yn-1+2yn-2-xn=0yn+yn-1+2yn-2=xn  -------(1) Time shifting property of…

Q: UT +1. Vr 25 ΚΩ + 100 ΚΩ ww VC 20 μF ic = [10 ult-t₁) - 5. u(t – t₂)] V (+1

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Q: 4. In this problem, we will utilize the unit step function to express and different signals. (a)…

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Q: Determine the damping factor of the following 2nd order system. Assume that the input in open loop…

A: Given 2nd order system transfer function, Gs=182s2+7s+355

Q: a) Read the following signal f(t), (write out the equation using a combination of unit-step and ramp…

A: Write the definitions of unit step and unit ramp functions.

Q: Bring any system (not form your text book) (NORMAN S. NISE)and do the following  1- Write its…

A: we need to consider a system and do:1- Write its differential equation 2-Write T. F.3- Use Matlab to…

Q: The Z-transform of the following function /[k].2+(-5)*(-4)* in So the constants A and B are........…

A: Given, fk=942×2k+517×-5k-336×-4k f[Z]=Z×[A+BZ2](Z-2)×(Z+5)×(Z+4) Here, we have to find the values of…

Q: Evaluate exp atu(t)*u(t) ? u(t) being the unit step function. The answer is one of the below : a)…

A: Convolution: Convolution relates the input & output relation of a signal or function in an LTI…

Q: Given two independent 1st order recursive systems with complex constant coefficients as described in…

A: Given,   Two independent Ist order recursive systems,         The impulse response of a system is…

Q: (a) The signals p(t) and q(t) are shown in Figure Q1(a). p(t) 2 -4 -2 -2 4 6. Figure Q1(a) Write the…

A: The given signals are shown below:

Q: total apparent power supplied: 2400VA - power factor angle of the load: -25⁰ - line impedance:…

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Q: What we covered in Chapter 10 are called bilateral z-transform X(z). There 00 is also a thing called…

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Q: Question 2: For each of the second-order systems that follow; find 5; wn; %OS; Ts; Tp, and Tr then…

A: for a each of second order system that follow; a.TS=16S2+3S+16 b.TS=0.04S2+0.02S+0.04

Q: Simplify the equation to a) sum of products and b)products of sums Do not use k-maps F=(A, B, C,…

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Q: A zero initial conditions DSP system is described by y(n)+y(n-1)+2y(n-2)-x(n)=0 1- Find the system…

A: If the z-transform of y(n) is Y(z), then Z-transform of y(n-k) is z-kY(z). The relation between the…

Q: Consider the function given below. Determine, by presenting proof, whether the given function is…

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Q: Please explain why. A time invariant system is described by the differential equation (D+4.5) (D² +…

A: Given: D+4.5D2+4D+8yt=D2+D+1.5yt

Q: Determine the validity of the second-order approximation for the function. Justify your answer.…

A: According to question: The poles are located at ∵GS=1S+4S2+4S+8Poles:S=-4S=-2+j2S=-2-j2   The…

Q: 3. Classify the following linear differential equations according to whether they are time-variable…

A: A system which is differential equation form is said to be in time variant if the coefficients of…

Q: The behavior of a second order system is defined by the ordinary differential equation shown. The…

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Q: please.. Defined as y(t)= x(t-5)-x(3-t) with input x(t), output y(t) Show whether the system has the…

A: Defined as y(t)= x(t-5)-x(3-t) Where input x(t), output y(t) Show whether the system has the…

Q: 4. (a) Find the complete solution for the difference equation y[n] – 0.8y[n-1]= x[n] with the input…

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Q: Q5/ Solve the following D.E. using Laplace transform: • y"– 4y' + 4y = t³e2t, y(0) = 0, y' (0) = 0…

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