x(t) 2T 3T 4T 5T t h:(t) 1- 2T 1 -

Q: Q2) a LTI system if the input to the system is x(t) = 2e-3tu(t – 1) the output is y(t) dx(t) and if…

A: For a continuous-time LTI system, when the input is x(t) = 2e-3tu(t - 1), the output is y(t) and…

Q: 3) Find the transfer function X2(s) / F(s) X1 k mu ƒ(1) M₁ B₁ B3 M₂ B₂ BA

A: Transfer function is defined as the ratio of output to input with zero initial conditions. Apply…

Q: What is the following graph if u(t) denotes step function? 1 0.5 500 1000 O a. u(t-0) O b.…

A: In the question ,  Write the mathematically equation of the graph.  u(t) is step response function.

Q: Q2: Find the Convolution of two functions below. 0 2

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Q: a system with input x (t) and output y (t) is linear, time invariant, causal. y(t)=x(t-5) – x(4-t)

A: system with input x (t) and output y (t)   y(t)=x(t-5) – x(4-t) Describe about linear or non linear?…

Q: S 2t t t one:

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Q: A 60 V peak full-wave rectified voltage is applied to a capacitor- input filter. If f = 120 Hz, RL =…

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Q: QGiven x(t)-te-³u(t) Find y(t) and h(t) = e-3tu(t)

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Q: c) Compute the convolution y[n] = x[n] *h[n] of the following signals: x(n)= [1 2 3 4] and h(n)-[2-3…

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Q: Find the z-transform of 3n u[-n-1]

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Q: Example Find the F.T of f(t) = e-at u(t) a > 0

A: In this question we need to find a Fourier transform of the given signal.

Q: Find the causality and stability of the following systems and show that your answers are correct.…

A: From the given impulse response of a system   The given signal is a impulse response of a discrete…

Q: Find v4(t) when t > 0. 120 V. (t) 4H 24V 6Ω.

A: We need to find out the voltage across resistor in given circuit

Q: For x(t) = u(t) - u(t - 3) and h(t) = u(t) − ?(t - 2) signals a) Sketch and label x(t), h(t), and…

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Q: initial value theorem for the following X(s) = s²+1 s² (4s+3)

A: In this question,  We need to determine the initial value of the given signals.  We know  The…

Q: Proof Prove the second shifting theorem, showing your work very carefully. This means proving the…

A: We have to prove the following two equations; ℒft-aHt-a=e-asFs ℒftHt-a=e-asFs+a

Q: Write the following differential equation in S or D -operator form x(t) + r(t) = 2x(t)

A: Given expression is Asked to find the transfer function by using S operator or D operator.

Q: Is the following system BIBO stable? Explain how you know. y(t) = x(t)[u(t) = u(t-5)]

A: It is given that:

Q: Compute the convolution output y(t) of the two functions given below. h(t) = 4e-**u(t) =re 2.

A: Consider the given impulse response, ht=4e-4tut Apply the Laplace transform on both sides, Hs=4s+4

Q: Solve for T(s) using Mason's Formula Rish Gy(s) tes Gy(s) Yus

A: In this question We need to determine the transfer function of the given system using the Mason gain…

Q: Find dx/dt for the following signal x(t) = u(t-2) - 3u(t-4)

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Q: Question 2 [C4, CLO2]: Compute the convolution y(t) = x(t) * h(t) of the following signals: x(t) =…

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Q: (2) For the circuit below, find and vc(t) and i(t) for all t. 4 – 3 u(t)( www 1 Vc 10 + 10 i 7 10 -H…

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Q: R(s) = = = S G(s) s+3 s+4 C(s)

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Q: What is the result signal?

A: The given signal is And, the required signal x1(t) is

Q: A continuous time LTI system responses s(t) to step function. Determine the output y(t) to the input…

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Q: Answer the following Find the transfer function

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

Q: Using convolution, find the response of the following system: x"+4x=F(t) F(t)=cos2t+3, 0<t<T = 0…

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Q: →(s) X3 X2 1 X1 Us) 3 3 Find state space equations with input U(s) and output Y(s)

A: In this question,  The control system is given.  Find the state space equations with inputs U(s) and…

Q: Find the z-transform of 3n u[-n-1]

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Q: Warning: This is a multi select multi chose question. You can select more than one answer. Find the…

A: Given a matrix A defined as

Q: S(t) = e-2|t| t0 s(t) = {e- t ²

A:

Q: The convoluti on [u(t) - u(t-1)] Ⓒe-at 8(t) O(u(t)-u(t-1)) exp(-at) Ou(t) Ou(t)-1 O 1 u(t)-u(1-1)

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Q: Express the following two signals in terms of the unit step sequence u[t]. Justify your answer with…

A: Unit step signal- If step signal has unity magnitude, so those step signal is known as a unit step…

Q: The signal y(t) is obtained by convolving r(t) = e-3tu(t) with h(t) = e-u(t). Compute y(t) for t> 0.

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Q: 7. If X(s) = -, find the poles, draw them in s-plain , determine is the system stable or not and…

A: (a) Write the given transfer function and find the poles. Gs=1s2+5s+6=1s+2s+3 Draw the poles in the…

Q: Question 1 The final output of the convolution for the input x(t) signal is the multiplication of…

A: The continuous convolution is written as,

Q: Find the complete Response of the Capacitor Voltage for t>o Don't use Laplace transform d²Uc df² +4…

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Q: Get x(t)*h(t), * denotes convolution

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Q: x(t) 1 T 2T ЗТ 4T 5T t h:(t) т 2T

A: The convolution of the above signals is obtained as, y(t)=∫-∞∞x(τ)h1(t-τ)dτ----(1) From the figure,…