The input/output equation for an analog averager is given by the convolution integral 1 y(1) : 2p(1)x -T where x(t) is the input and y(t) the output. (a) Change the above equation to determine the impulse response h(t). (b) Graphically determine the output y(t) corresponding to a pulse input x(t) = u (t) – u(t – 2) using the convolution integral (let T = 1) relating the input and the output. Care- fully plot the input and the output. (The output can also be obtained intuitively from a good understanding of the averager.) (c) Using the impulse response h(t) found above, use now the Laplace transform to find the output corresponding to x (t) =u(t) – u(t – 2), let again T = 1 in the averager. -

The input/output equation for an analog averager is given by the convolution integral 1 y(1) : 2p(1)x -T where x(t) is the input and y(t) the output. (a) Change the above equation to determine the impulse response h(t). (b) Graphically determine the output y(t) corresponding to a pulse input x(t) = u (t) – u(t – 2) using the convolution integral (let T = 1) relating the input and the output. Care- fully plot the input and the output. (The output can also be obtained intuitively from a good understanding of the averager.) (c) Using the impulse response h(t) found above, use now the Laplace transform to find the output corresponding to x (t) =u(t) – u(t – 2), let again T = 1 in the averager. -

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Similar questions

Lai bataiqab min 2.22. For each of the following pairs of waveforms, use the convolution integral to find the response y(t) of the LTI system with impulse response h(t) to the input x(t). Sketch your results. (Do this both when a B and when a = B.) = e-at -BtL "u(t) 3¹u(t) (a) x(1) h(t) = e
Convert differential equations to transfer function
4. Determine the steady-state error of a negative-unity feedback system with G(s) = (5s+4)/(s+4) to ramp input. r(t) e(t) G(s) c(t)
The following plot is a step response of a sixth order system. 1. Find the time domain specifications i.e. Tp. Tri. T. and P.O. 2. Find a second order system whose response matches the given response in the following sense a. The percentage overshoot and rise time b. The peak time and settling time c. The rise time and settling time You have to find three systems Aroude 1 14 13) 12 UP E ON ST 06 0.5 DA 03 63 DI 0 6 A W . -CA P.O.= e √1-2 Ts= 4 ζωη Satisfying 2% criteria 10 Control Systems Homework Problem 3 100 M 16 18 20 Step Response for 24 21 20 30 The P.O. -In (100) √²+In² (²00) Tr Tp 2.16+0.60 On 0.3<≤0.8 Onv T 1-32 and 10% to 90% value
Q.3) A] For the Positive feedback control system prove that: G(s) T.F = 1 – G(s)H(s)
Feedback and Control System - Electronics Engineering
Consider the signal x(t) shown in the below figure. Find and sketch the a- signal x(-3t – 4). Show all steps in details. †x(t) -1
1) How you will convert sin function to cosine? List trigonometric any three properties associated with these functions. 2) Briefly describe application of impulse function and impulse train. 3) How you relate phase shift and time shift of a signal? 4) List the few important Matlab function names to simulate various waveforms.
R(s) + E(s) Σ V(s) N(s) K P(s) We want to design a speed control for a DC motor. The transfer function form voltage V(s) to DC motor speed Q(s) is: N(s) 100 P(s) = V (8) 50s² + 600s + 1000 We want to design a compensator K so that the response of the feedback system to a reference step of 1-rad/sec satisfies the following requirement settling time 2/3 sec and percent overshoot 2%.
Can you please assist with the Q1 a,b, and c. Explain in detail on how to do? Thank you.
Which of the following statements is the Dirichlet condition with respect to the signal x(t)?a) x(t) has a finite number of discontinuities in any periodb) x(t) has a finite maximum and minimum number during any periodc) x(t) can actually be integrated in any periodd) Everything mentioned
Kindly give proper Circuit