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Problem 5. (20 points) Topic: System interconnections. Given two systems with the impulse responses h:(0) =...
Given to the system with the impulse responses h1(t) and the h2 (t) cos π t, 0 < t < ∞ Find the impulse response h(t) of a new system which is a series interconnection of two mentioned system using the convolutional integral. Present mathematical and graphical solution.
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)?
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)
A system is formed by cascading two systems as shown in the figure given below. Given that the impulse responses of the systems are, h1(0) = 22e-* u(1), h₂( = e ult) -40 hi(t) h2(t) Vo References eBook & Resources Section Break Difficulty: Medium Learning Objective: Un into the time domain. value: 10.00 points Determine the impulse response of the overall system. The impulse response of the overall system is h(t) = (Click to select) v (Click to select) v...
9.7. Determining the ROCS of the following systems: S ooslas arb bos (a) The system with the impulse response of h(t) 5.2'u(t). (b) The system with the impulse response of h(t) 4.2'u(2 - t). (c) The system with the impulse response of h(t) 20e [u(t)- u(t12)]1 = 9.7. Determining the ROCS of the following systems: S ooslas arb bos (a) The system with the impulse response of h(t) 5.2'u(t). (b) The system with the impulse response of h(t) 4.2'u(2 -...
2. For the linear time-invariant systems with impulse responses given below, determin if the system is BIBO stable or BIBO unstable. (a) h)--21-3)lu)-u(t-5)] (b) h(t)--for t > 2 and h(t) = 0 for t < 2 (c) h(t)-cos tu(t) (d) h(t) coste 'u(t) t -1
Problem 1. Determine if the LTI systems with impulse responses as given below are sta ble/unstable and causal/non-causal Note: u(t)/ ulnl represents unit-step. δ(1)/ δ[n] represents unit impulse. I. hl (t) = δ(t + 4)-5(5-t) 2. h2(l) e"cos(nt)u(-)
The following functions have impulse responses from discrete and continuous LTI systems. Determine whether each system is causal and convergent a) h[n] = 2n u[3 - n] b) h(t) = u(1 – t) – 1/2e-t u(t) c) h[n] = [1 – (0.99)n ]u[n] d) h(t) = e15t [u(t – 1) – u(t – 100)]
Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a) b) x(o) - rect ()17 Solution: Problem 4: [10 Points A LTIC systems has impulse response as showm betlow t h(t) Using analytical or graphical convolution, find and sketch the system's output yto if the input x (t) is: x(t):#6(t) _ 26(t-1)[31 a)...
5. A system is formed by cascading two systems as shown below. Given that the impu response of the systems are h,(t)3e-u(t) and h2 (t) (t). Determine: a) The impulse response of the overall system. b) Determine vo (t) if the input is vi(t) 36(t) +2u(t).