mpulse response of a linear time invariant (LTI) system is given as sin(32t) h(t) : sin(16t) Sketch (with careful labelling) the frequency response, i.e., H(j), of this system. O Find the output y(t) of this system, in terms of cosine functions, to the input x(t) = e-j35t -j30t +e -j20t -j15t +1+ ej15t + ei20t + ej30t + ej35t %3D

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The impulse response of a linear time invariant (LTI) system is given as
sin(32t) sin(16t)
h(t) :
t
a) Sketch (with careful labelling) the frequency response, i.e., H(jw), of this
system.
b) Find the output y(t) of this system, in terms of cosine functions, to the
input
x(t) = e-j35t +e¬j30t + e¬j20t +e-j15t + 1 + ej15t + ej20t + ej30t + ej35t
Transcribed Image Text:The impulse response of a linear time invariant (LTI) system is given as sin(32t) sin(16t) h(t) : t a) Sketch (with careful labelling) the frequency response, i.e., H(jw), of this system. b) Find the output y(t) of this system, in terms of cosine functions, to the input x(t) = e-j35t +e¬j30t + e¬j20t +e-j15t + 1 + ej15t + ej20t + ej30t + ej35t
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