Define mathematical expression for each ; (t) where i = 1, 2, 3 using the elementary operations/transformations based on the signal x (t). x₁ (t) x₁ (t) -2 x₂ (t) 2 0 x3 (t) 2 X₂ ( t) x3(t) 2 2 45 4 4 45 t

Q: 1. Z-Transform of 8(n+3) is. a) z b) z² c) 1 d) z³ 2. A system which is linear is said to obey the…

A: Z transform and Laplace transform of the signals

Q: Find the minimum sum-of-products expressions for each of these functions. (b) f(d, e, f) =…

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Q: How do you determine if a differential equation is linear and time invariant

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Q: Q3) Consider the two input and system functions x(t) = u(t – 4) and h(t) = e-2tu(t find the output…

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Q: Express the signals shown in terms of unit step functions

A: Step 1: Step 2: Step 3: Step 4:

Q: A causal system is given the input x₁(t) = 5 + u(t) and the output is y₁(t)e-2tu(t). Let y2 (t) be…

A: To find for , we need to determine the response of the system to the input  for .

Q: $4+1 ($80 +1)[ ( $16)²+s/16+1] G(s) %3D Use a math tool to find the unit step response of a system…

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Q: c) Express the autocorrelation of a real function using the convolution operator. f(t)®f(t) =

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Q: $ day 25 1.5 0.5 2.5 2 1.5 0.5 -0.5 0 1 2 3 1 (sec) x2(1) t(sec) 4 b) Use MALAB code to compute the…

A: Solution: given data: →y(t)=X1t*X2t Determine : here using Matlab code compute Convolution…

Q: Obtain state-space representation for the system represented by the following differential…

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Q: For given signals: x(t) = 2[u(t) -u(t − 2)], g(t) = (2-t)[u(t) -u(t - 2)] 1) plot x(t) 2) plot g(t)…

A: In this question we need to  a) Plot x(t),  b) Plot g(t),  c) Find convolution of x(t) and g(t),…

Q: F₁(t) -2 Define mathematical expression for each xi (t) wherei = 1, 2, 3 using the elementary…

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Q: For the system below, calculate y (t)at t =3.8 for a step input u (t) =6.4? * (t) = [ 1+22x(t) + 2…

A: Given:-  x˙t=0k1+k2-k1-k2xt+02utyt=01xt Where, k1=7.8k2=9.2

Q: Let x(t) =t[u(t) – u(t – 1)], we would like to consider its expanded and compressed versions. (a)…

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Q: Given the following K-map of the function g (a, b, c, d), where X is a don't-care: ab 00 01 11 00 1…

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Q: x(t) Figure 1: An illustration of the input signal r(t) The output signal y(t) is observed as 0, t2,…

A: For the given function x(t) , y(t) and x1(t)   output signal y1(t) is determined as shown below

Q: Determine the variations of the following functionals 3.a) J(x) = f"[x³(t) – x² (t)*(t)]dt 3.b) J(x)…

A: We will determine the variations of the given functions, as followed :

Q: 1/0 SO s3 1/0 0/1 0/1 1/1 1/1 s1 s2 0/1 0/1

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Q: 2) For a unit step input u(t) , which of these systems will give a bounded output y(t) ? ÿ (t) – ý…

A: Laplace transform: If a performance encompasses a finite variety of breaks and doesn't inflate to…

Q: Which one of the following is linear? O a. O b. 0 c. O d. y(t) = x(t) y(t) = t²x(t) y(t) = x(t) y(t)…

A: Linear function:- A linear function possesses two key properties:Additivity: This property states…

Q: name +) = { 1 x(t)= Ï y(t) = relationship 1 m(t) dr = 1. di X(t) = { 1 m(t) = 0, 1 = 0; 8 M(t), name…

A: We need to tell about name and relationship of given signal .

Q: Plot y(t): y(t) = [u(t) – u(t - 2)] * 2[u(t) – 2u(t – 2) + u(t – 6)] %3D

A: Here it is asked to find out the convolution of two signals. Here the properties of convolution of…

Q: 1.5 The period of the function cos [/4(t-1)] is (b) 8 s (a) 1/8 s (c) 4 s (d) 1/4 s

A: Given Data:A periodic signal  is given in the question.Required Data:Here, we need to calculate the…

Q: Required information For each pair of functions given, provide the values of the constants A, to and…

A: Here we draw the graph of g1( t ) and perform time shifting , time reversal , time scaling to get…

Q: (3)Find I1(S) and I2(S); also calculate i,(t), and iz(t) for t > 0. Using the method that applies…

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Q: Interpret with proofs if the following systems are time-invariant or time variant: i) y(t) = 2(t) +…

A: In this question,  We need to proofs that time-invariant or time variant: i) y(t) = 2(t) + x(t) ii)…

Q: 1. Given x(t) and h(t), find y(t) = x(t) * h(t) x(t) = 2u(t)- 2u(t-1) h(t) = 3u(t)- 3u(t - 2) * u(t)…

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Q: A system has the input-output equation: d²y dy + 3. + 2y(t) = dt dx + x(t) dt %3D dt2 If the input…

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Q: RI Vs + + i(t) √(t) = C L R3 R₂ Find the second-order ODE of i(t) in terms of Vs for tzo

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Q: e) Write the complete expression for I.(t) L(t) =. f) Write the complete expression for VR(t) Vr(t)…

A: Given a circuit: We need to write the complete expression for IL(t) and VR(t).

Q: Q1)a) Given x(t) and h(t) as below find and draw y(t) X(t)=u(t-1) h(t)=-8(t) + 8(t-1) b)Given h(t)…

A: For any queries please let me know through comments. I will try to reply ASAP! Please upvote if…

Q: Q2-C-Find the y(t)= f1(t)*f2(t). For the pair of functions below (a) Hi

A: Given:  Required: yt=f1t*f2t.

Q: Q1)a)Given x(t) and h(t) as below find and draw y(t) X(t)=u(t-1) h(t)=-8(t) + 8(t-1)

A: Since you have posted the multiple questions so we are supposed to answer the part a only

Q: e )lfthe input to an LTI system is X1(t) the output is y1(t) . If the input to the same system is…

A: Consider the given question;

Q: Calculate the q2(t) sign theoretically for the given signs m2(t) and Y2(f).…

A: Fourier transform of a single tone sinusoidal signal have values only at the frequency of the…

Q: 2. Find iL(t) and V1(t) for t > 0 in following circuit. t = 0 12 N i(t) ww 10 v (+ 4 A v;(t) 320 2H…

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Q: Question 11 Determine the an for the function g (t) = t² , 0<t< 2r. n2 O 4n2 O 2n2

A: Given: g(t)=t2,  0&lt;t&lt;2π   Formula to calculate an is:an=2T∫0Tg(t)cos2πntTdt

Q: espectively, 1 1 1 A: 2 1 r(t) B: -(t) C: zr(t) D: none of these E: -(t) 2' 2' 2'

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Q: Example 3: Find and sketch y(t)= x(t)*h(t) Where x(1) = 2[u(1-2) – u(1-4)] and h(t) = [u(1) –…

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