9.7. Determining the ROCS of the following systems: S ooslas arb bos (a) The system with the impulse response of h(t) 5...
5- Determine whether or not each of the following LTI systems with the given impulse response are memoryless: a) h(t) = 56(t- 1) b) h(t) = eT u(t) e) h[n] sinEn) d) h[n] = 26[n] 6- Determine whether or not each of the following LTI systems with the given impulse response are stable: a) h(t) = 2 b) h(t) = e2tu(t - 1) c) h[n] = 3"u[n] d) h[n] = cos(Tm)u[n] 7- Determine whether or not each of the following...
Consider the LTI system with input ??(??) = ?? ?????(??) and the
impulse response ?(??) = ?? ?2????(??). A. (3 points) Determine
??(??) and ??(??) and the ROCs B. (3 points) Using the
convolutional property of the Laplace transform, determine ??(??),
the Laplace transform of the output, ??(??) C. (3 points) From the
answer of part B, find ??(??)
9 points) Consider the LTI system with input x(t)eu(t) and the impulse response h(t)-e-2u(t) A. 3 points) Determine X(s) and H(s)...
Consider a continuous-time LTI system S with impulse response h(t) = 2(u(t + 1)-u(t 1)). Determine the values of the amplitude scaling and the tme shifting that takes place when each of the following input signals is provided to the system S. Don't use the convolution integral, instead use the result about how LTI systems respond to complex exponential signals. (a) x(t) 2 (b) x(t) ej0.5Tt (c) x(t) = e-j0.5πt (d) x(t) = e-jmt (e) x(t) = cos (0.5t) (f)...
Consider an LTI system with the impulse response h(t) = e- . Is the system casual? Explain. Find and plot the output s(t) given that the system input is x(t) = u(t). Note that s(t) in this case is commonly known as the step response of the system. If the input is x(t) = u(t)-u(t-T). Express the output y(t) as a function of s(t). Also, explicitly write the output y(t) as a function of t. a) b) c)
2.7.5 The impulse response of a continuous-time LTI system is given by h(t) = f(t) - et u(t). (a) What is the frequency response H (w) of this system? (b) Find and sketch H(w). (c) Is this a lowpass, bandpass, or highpass filter, or none of those? 2.7.6 The impulse response of a continuous-time LTI system is given by h(t) = S(t – 2). (This is a delay of 2.) (a) What is the frequency response H (w) of this...
Signals & Systems Course Question
2. The response of a system is for t 20 and zero otherwise. (a) Find the system's impulse response h(t). (b) When (t)-u(t), the corresponding output of the system is called unit-step response s(t). Find s(t) and calculate ds(t)/dt, what does this correspond to the result from (a).
Please love from a to e,
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3.19. An LTI system has the impulse response h(t) = e'ul-t). (a) Determine whether this system is causal. (b) Determine whether this system is stable. (c) Find and sketch the system response to the unit step input x(t) = u(t). (d) Repeat Parts (a), (b), and (c) for h(t) = e'u(t). (e) Determine whether the systems given before part (a) and in part (d) are memoryless
3. For following input/output system relationships, determine the impulse response h(t). Clearly show all the steps arriving to your answer. p(-)x(1-)a L(2- r)x(1)dr-L*-1)x(1)dr (10 points) y(t) a. b. (10 points) y(t) -00 4. (10 points) An LTI system has the impulse response: h(t) = 4e-0.75(-1)[u(t + 4) - u(t - 10)]. this system Causal or Non-Causal? You must justify your answer. A correct answer with no justification worth only 4 points Is
3. For following input/output system relationships, determine the...
Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) = e (l) and hz(t) = u(t) - ufl-1) (rectangular pulse of duration 1). Find the impulse response h(t) of a new system which is a series interconnection of two mentioned systems. Present mathematical and graphical solution Total 100 points (1) =
The system shown below is formed by connecting two systems in parallel. The impulse responses of the systems are given by: t h, (t) = € 2€ u(t) , h (t) = 2e fu(t) 1) Find the impulse response h(t) of the overall system. 2) Is the overall system stable? h,(t) x vo h(t)