Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t):
iv) x(t) = exp(2t)u(−t), h(t) = exp(−3t)u(t);
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t):...
Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t) USING CONVOLUTION THEOREM ONLY: iv) x(t) = exp(2t)u(−t), h(t) = exp(−3t)u(t);
determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): (1) x(t) = u(t), h(t) = u(t) (2) x(t) = exp(2t)u(-t), h(t) = exp(-3t)u(t)
3.5 Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): 11) X (İİİ) x(1) = 11(1)-211(1-1) + 11(1-2), h(1) = 11(1 + 1)-11(t-1); Part lI Continuous-time signals and systems (iv) x(t) - e2"u(-t), h(t)-eu(); (v) x(t)-sin(2tt)(u(t _ 2) _ 11(1-5)), h (t) = 11(1) _ II(ț-2); (vi) x(t) = e-圳, h(t) = e-51,1. (vii) x(1)= sin(t)11(1), h(1) = cos(t)11(1). 3.5 Determine the output y(t) for the following pairs of input signals x(t) and...
By using convolution theorem, not laplace. !!!!!!! Determine the output y(t) for the following pairs of input signals x(t) and impulse responses h(t): (i) x(t)=u(t), h(t)=u(t): (iii) x(1) 11(1) _ 211(-1) + 11( -2), h(1) 11( 1) _ 11(-1);
Consider two periodic signals, please (a) determine and draw the output of y(t)=x(2t)*h(t) if T >8. (b) Try to figure out and draw the frequency responses of x(t), h(t), and y(t). x(t) hết) WWW.HBHB (in) (b)
SIGNALS and SYSTEMS HOMEWORK-IV 1. Let X(t) be the input to an LTI system with unit impulse response h(t), where x(t) = e-tu(t) h(t) = u(t -3). Determine and plot the output y(t) = x(t) *h(t). Both analytically and graphical method. (25 p)
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...
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...
A causal LTI system yields the following input output relationship. Find h(t), the impulse response of the system. (Hint: Try first to determine the output when the input is u(t)) a(t) y(t) LTT →t 2 2 Figure 1: An input-output pair
1. The signal x(t)- expl-a)u(t) is passed as the input to a system with impulse response h(t) -sin(2t)/(7t (a) Find the Fourier transform Y() of the output (b) For what value of α does the energy in the output signal equal one-half the input signal energy? Hint: use the duality property of Fourier Transform to obtain H(a