1- (30pts) A periodic signal x(t) is given in below figure. a- Find the fundamental period To and fundamental angular fr

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1 30pts A Periodic Signal X T Is Given In Below Figure A Find The Fundamental Period To And Fundamental Angular Fr 1 (41.17 KiB) Viewed 21 times

1- (30pts) A periodic signal x(t) is given in below figure. a- Find the fundamental period To and fundamental angular frequency Wo. b- Find the complex Fourier Series coefficients Ck. Simplify the result. X(t) 1/2 1/2 t -2 8 2- (20pts) Impulse response of a discrete time LTI system is h[n]=ô[n]+0.4" u[n]. a) (10pts) Determine if the system is memoryless, causal, stable, IIR/FIR b) (10pts) Find the output y[n] for a given input of x[n] = u[n]-u[n-2] 3. (50pts) Transfer function of a linear, time invariant and stable system is given as: 1 H(S)=2-8s+R a) Draw the pole-zero diagram and define the Region of Convergence (ROC) for R=-9 and R=12. b) Calculate the impulse response h(t) of the system for R=-9 and R=12 c) x(t) = 38[n]-6e¹ u(-t) signal is applied to the input of this system when R=-9. Calculate the output of the system, y(t) using Laplace transform. ⠀