Q.5a) The impulse response of a LTI system is given ash(t) = ße¯ª cos(Ni+9)u(t); a>0.Consider h(t) to be the product of the two signals f(t) and g(t) such thath(t) = f (t)g (t)wheref (t) =e¯d'u(t)andg(t) = B cos(2,t +@) = ß cos2,(t+Using the frequency convolution property, orF( jN)*5(N±Q,)=F(j[N±Q]) show that(a cos p-2, sin ø)+ j(cos p)N(a+ jN)² +N;H(jN)= ß-1F(jN) =F|cosΩ,) = πδ(Ω+Ω,) + πδ Ω-Ω,)a + jNHint: To obtain the same result use also the time shifting property forcos (2,t + p) = cos2,(t+-).b) IfH(jN) =1-N²+ jNevaluate a , ß, q and 2, and express h(t) using these values.c)Let the input to an LTI system with the transfer function given in part (b) be of the form1cos 5t +......141x(t)=+cost+- cos 3t +9.25Evaluate the first four terms of the Fourier series of the output y(t).

According to our expert policy only one individual question is to be answered.kindly repost the…

Q.5 a) The impulse response of a LTI system is given as h(t) = ße¯d' cos(Nt+p)u(t); a>0. Consider h(t) to be the product of the two signals f(t) and g(t) such that h(t) = f (t)g (t) where f (t) =ed'u(t) and g(t) = B cos(2,t +p) = B cos2,(†+ Using the frequency convolution property, or F( jN)*8(N±Q)=F(j[N±Q,]) show that (a cos p-2, sin g)+ j(cos p)2 (a+ jN)² +N; H(jN) = B- 1 F(jQ) = F{cos Ω = πδ(Ω+Ω,) + πδ(Ω-Ω ) a + j2 Hint: To obtain the same result use also the time shifting property for cos (2,t +p) = cos2,(t+

Q.5 a) The impulse response of a LTI system is given as h(t) = ße¯d' cos(Nt+p)u(t); a>0. Consider h(t) to be the product of the two signals f(t) and g(t) such that h(t) = f (t)g (t) where f (t) =ed'u(t) and g(t) = B cos(2,t +p) = B cos2,(†+ Using the frequency convolution property, or F( jN)*8(N±Q)=F(j[N±Q,]) show that (a cos p-2, sin g)+ j(cos p)2 (a+ jN)² +N; H(jN) = B- 1 F(jQ) = F{cos Ω = πδ(Ω+Ω,) + πδ(Ω-Ω ) a + j2 Hint: To obtain the same result use also the time shifting property for cos (2,t +p) = cos2,(t+

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

The impulse response of an LTI system is 8 (t + 1) Is the system stable? O No answer text provided. O Yes O No O No answer text provided.
x(t) 3 2 1 Figure 1(a) 2 t
(b) The top panel in Figure 1 shows the input and the impulse response of an LTI system. Sketch the output of the system. Note: No mathematical work is needed, use a graphical approach. x(t) h(t) 2 2 1 1 t -5 -1 1 -3 3 y(t) Figure 1: Figure for Problem 1(b).
The impulse response of a LTI system is 8 (t + 1) Is the system causal? O Yes O No answer text provided. O No answer text provided. O No
Q2. Let h(t) be the triangular pulse shown in (a), and let x(t) be the impulse train depicted in (b). That is, +00 x(t) = > 8(t - KT) %3D k=-00 Determine and sketch y(t) = x(t) h(t) for the following values of T: %3D a) T = 2 b) T = 1 h(t) (a) x(t) -2T -T O T 2T 3T (b)
For the first order system, at t=0; the impulse response will be a. 1 b. 0 c. T d. 1/T
It is known that u(t) is a unit step signal and a Linear Time Invariant (LTI) system has an impulse response given by h(t) = (4t+1) u(t–2) + (-4t–1)u( t). The LTI system above is then evaluated by passing the input signal x(t) = 2u(t–1) –2u(t–2) into the system. a) Show mathematically whether the above system is a stable system or not and explain your answer completely and explain whether the system is a causal system! b) Draw the input signal for the system above and also describe the impulse response of the system! c) If y(t) is the output signal of the LTI system above, then determine the value of the y(t) signal for each t value! (use simple way)
An LTI system has an impulse response: h(t) = e^(4t)u(t+1) This system is: NEED A NEAT HAND WRITTEN SOLUTION OTHERWISE WILL LEAVE A DOWNVOTE ? NO CHAT GPT
0 of estion When an input (t)=sin(6t) enters a system of an impulse response h(t)- eu(t), then the output y(t) will be: Select one: Oy(t) 0.258sin(6t - 52.6") Oy(t)-0.164sin(6t - 80.5") Oy(t)-0.164sin(6t-52.6") Ⓒy(t)-0.258sin(6t - 80.5")
12. Consider an LTI system with impulse response h(t) = u(t), find out the output y(t) for a given inputx(t) = r(t). 13. Consider an LTI system with impulse response h(t) = u(t), find out the output y(t) for a given inputx(t) = u(t). %3!
Problem 1 Consider a continuous-time LTI system with the input signal and impulse response: x(t) = 4(u(t)- u(t-1.5)) h(t) = 2(u(t) - u(t - 4)) >] Plot x(t) and h(t), label all parts of your plot. b) el Calculate y(t) = x(t) * h(t), show all needed calculation steps. Plot y(t), label all parts of your plot. C) Explain in your words the technique and steps you have used to calculate y(t).
Required information Consider the CTFT pair. u (t + 5) – u (t – 7) → A sinc (bf) eicf The numerical values of the literal constants are A = b = and c=