4.25 Find a time-varying realization and a time-invariant realization of the impulse rspesi
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
2. Consider a linear time-invariant system with transfer function H(s)Find the (s + α)(s + β) impulse response, h(t), of the system
The impulse response h(t) of a linear time-invariant system is 2*pi[(t-2)/2]. Find and plot the output when the system is driven by an input signal that is identical to the impulse response.
2. (a)Classify the system with input-output relationship yoxio)dt as (i) Linear or Nonlinear(ii) Time-Invariant or Time-Varying. (b) Use Parseval's Theorem to evaluate the following integrals (c) Find the Fourier transform of the signal 1 + cos otherwise
Consider an linear time invariant system whose impulse response is shown in the figure below. If the input x(t) = u(t) then what will be the output at t=1.5 seconds ?
Problem 1: Consider the following time-invariant channel impulse response td and T are constants. a- Plot this impulse response and show the delay of each path. b- Find the power delay profile for this given channel. c- Find the rms delay spread by using the power delay profile d-Find the coherence bandwidth of this channel (assume 90% e- Find the frequency response of this channel and plot it f- If we send a pulse shown below with a duration of...
Determine if the linear time-invariant continuous-time system with impulse response t 1 h(t) 0. t 1 is stable. Justify your answer
4. A linear time invariant system has the following impulse response: h(t) =2e-at u(t) Use convolution to find the response y(t) to the following input: x(t) = u(t)-u(t-4) Sketch y(t) for the case when a = 1
1. Consider the block diagram continuous-time, linear, time-invariant system shown be- low. A Ali (a) Find the transfer function of the system. Show your work. (5 points) (b) Draw the canonical direct form realization of this system using multipliers, in- tegrators and adders. Show your work. If you do not know how to do part (a), you can state so, and draw the canonical realization of the system with transfer function 3s - 11 52 + 7s +12 Note: This...
(c) If the impulse response function of a linear time invariant (LTI) system is h0)-Se u(), compute the output of this system due to an input ) which is a 4 second pulse of height 3, as shown in Fig.1 below. x(t) t(sec) 0 Fig.1 Input signal 10 marks/
Problem 1. (10 points) The unit impulse responses of two linear time-invariant systems are hi(t) = 400me-200t u(t) h (t) = 4007e-200nt cos(20,000nt u(t). a) Find the magnitude responses of these systems. b) Determine the filter type and 3 dB cut-off frequency of the first system hi(t). c) How about the second system hz(t)?