2. (a) Consider a linear and time-invariant system with the impulse response h(t) = eu(t), where u(t) is the unit-step f
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- 2 A Consider A Linear And Time Invariant System With The Impulse Response H T Eu T Where U T Is The Unit Step F 1 (39.47 KiB) Viewed 29 times
2. (a) Consider a linear and time-invariant system with the impulse response h(t) = eu(t), where u(t) is the unit-step function. -0.5/ (i) Find the step response of the system, denoted as s(t). (ii) Find the output y(t) of the system for the input x(t)=e¹u(t). (iii) Justify whether the system is memoryless, causal, and stable. (b) A message signal m(t)= 4 cos (1007) is transmitted using conventional amplitude modulation (AM): XAM (1)={1+m(t)}xcos (1000xt) (i) Sketch the time-domain waveforms of m(t) and XAM (t). (ii) Sketch the frequency-domain amplitude spectra of m(t) and XAM (t). (iii) Determine the bandwidths of m(t) and XM (1). AM