1] For the following CT signal, determine whether it is periodic or aperiodic. If periodic, find...

 

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1] For the following CT signal, determine whether it is periodic or aperiodic. If periodic, find the period x(t) =2cos(6rt) +3sin(4mt +) O[2] Draw the waveform of the following signal (draw from n=-1 to n=4 only): x(n) = 4u(n) + 2r(n-2) - 3r(n-3) O[3] Sketch and calculate the total energy of the DT signal, y(n): y(n) = x(-n-1) given x(n) = u(n-1)-u(n-5) O[4] Test, mathematically and graphically, the Odd/Even symmetry of cos E) .-T stST signal. O[5] For the following system represented by impulse response h(n) h(n) = " [u(-n) - u(-n-2)] Test its causality and its stability. O[6] An LTI system consisting of three sub systems with individual impulse responses h(n), h2(n) and ha(n), are shown in figure below, where h,(n) h,In) h,(n) = 38(n+1)-25(n-1) - 4 8(n-2) + 6(n-3) %3! Yin) h,(n) = 58(n+1)+28(n-1) -38(n-3) + 8(n-4) xịn) - hy(n) h3(n) = 28(n+2) +38(n) + 8(n-1) -6 8(n-2) Find the overall impulse response h(n) of this system. 1] For the following CT signal, determine whether it is periodic or aperiodic. If periodic, find the period x(t) =2cos(6rt) +3sin(4mt +) O[2] Draw the waveform of the following signal (draw from n=-1 to n=4 only): x(n) = 4u(n) + 2r(n-2) - 3r(n-3) O[3] Sketch and calculate the total energy of the DT signal, y(n): y(n) = x(-n-1) given x(n) = u(n-1)-u(n-5) O[4] Test, mathematically and graphically, the Odd/Even symmetry of cos E) .-T stST signal. O[5] For the following system represented by impulse response h(n) h(n) = " [u(-n) - u(-n-2)] Test its causality and its stability. O[6] An LTI system consisting of three sub systems with individual impulse responses h(n), h2(n) and ha(n), are shown in figure below, where h,(n) h,In) h,(n) = 38(n+1)-25(n-1) - 4 8(n-2) + 6(n-3) %3! Yin) h,(n) = 58(n+1)+28(n-1) -38(n-3) + 8(n-4) xịn) - hy(n) h3(n) = 28(n+2) +38(n) + 8(n-1) -6 8(n-2) Find the overall impulse response h(n) of this system.