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Given the system with an impulse response function
ℎ[] = 3−20 use the convolution integral to calculate the response to the input [] = 10cos(10) for t>0. Also, calculate the steady state response using phasor analysis, given that the frequency response
function of the system ℎ[] = 3/(20+)
Hint
Using the convolution integral:
[] = ∫ ℎ[ − ][] (requires a recursion formula,and has steady state and transient parts)
Using Phasor analysis:
[] = ℎ[ = 10][ = 10] =? (yields steady state solution)