1. Suppose the input signal x(t) and the impulse response h(t) of a continuous-time LTI system are given by x(t) = e'u(t) h(t) = e-3tu(t)

Q: 4. Find the steady state periodic response to input given by u = 3 + 2sin²t, if the system transfer…

A: The transfer function is,  X(s)U(s)=100s+4s2+10s+50 The Laplace transform of the input is calculated…

Q: An LTI system has impulse response h(t) = e-tu(t) and an input x(t) = u(t-1). Find the zero-state…

A: To find the Zero-sequence  of the system using the convolution integral method, convolve the input…

Q: Find f(t) for each F(s): 10s (a) (s + 1)(s + 2)(s + 3) 2s? + 4s + 1 (b) (s + 1)(s + 2) 3

A: (a) The given function is, Fs=10ss+1s+2s+3 The partial transform is,…

Q: [QSA] Assume the impulse response h(t)-u(t), use the convolution integral to find y(t) wher the…

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Q: Consider the following LTI system (D+7 D+12) y(t)=x(t) ,with y(0)=y(0)=1 , and x(t)=e"u(t) Use…

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Q: When an input z(t)=sin(6t) enters a system of an impulse response h(t)- eu(t), then the output y(t)…

A: Given that input is x(t)=sin6t, The impulse response of the system is, h(t)=e-tu(t) It is asked to…

Q: the even/odd decomposition for the following signal: x(t) = (u(t) - u(t-1)). Plot this signal ans…

A: We need to find even and odd part of given signal

Q: x(t) h(t) Slope = a (b)

A: Solution (c)- x(t) and h(t) is shown below, The mathematical expression for x(t) is,point=(0,…

Q: Signals and Systems

A: Step 1:

Q: 7. A first order system has a transfer function of b) e 21 a) 2e-¹/2 1. The unit impulse response…

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Q: Given below is the impulse response function h(t) of the LTI system. Determine if the system is…

A: For the given impulse response function  h(t) = e-5t u(t-2)  causality and stability is checked as…

Q: This is a practice question from my Signals and Systems course in my Electrical and Computer…

A: a) If you find the solution doubtful or doesn't match with your answer provided, or you feel that I…

Q: x(t)- y(1) dentify the impulse response of the system. Multiple Cholce h(t) – u(t) %3D h(t) = – 8(t)…

A: Using input output relation we will find output y(s) in terms of input x(s). Using above relation we…

Q: If the step response of an LTI system is given by s(t) = (e-1 – e-)u(t – 1) then its impulse…

A: S(t) = step response of an LTI system    h(t) = impulse response of a system    The relationship…

Q: 6. Explain why the following function generates an impulse function as €→ 0: f(t) = E/TT €²+t² for-∞…

A: According to the question, we need to show that the function f(t) is an impulse function,Where,

Q: Problem 2: Find Vout(t) for a given Impulse response and Vin(t). Use Convolution. 30 0.5 1.5

A: Impulse response is given.

Q: 6. Find the overall impulse response of the system below, where h(t) = 2u(t – 3), h₂ (t) = 3etu(-t),…

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Q: Determine the output of the LTI systems given by the impulse response h(t) and input r(t). (a) h(t)…

A: Part (a): Consider the given impulse response, ht=recttc2-c22+δt-c4 The Fourier transform of the…

Q: The input to a system is x(t) = eu(t) and the impulse response is h(t) = e"u(t). Find the output…

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Q: 3. The impulse response of a linear circuit is h(t)= u(t)-u(t-2). Use the convolution integral to…

A: Given Data:A linear circuit having, input and impulse response .we need to Find:response  using…