Sequences are generated by sampling a causal continuous-time signal u(t) (t > 0) at uniform intervals T. Write down an expression for uk, the general term of the sequence, and calculate the corresponding z transform when u(t) = sin t. %3D z sin T z2 – 2z cos T+1 z Cos T z2 – 2z sin T+1 z Cos 2T z2 + 2z sin 2T – 1 z sin T z2 + 2z cos T – 1 -

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6.
Sequences are generated by sampling a causal continuous-time signal
u(t) (t > 0) at uniform intervals T. Write down an expression for uk, the
general term of the sequence, and calculate the corresponding z
transform when u(t) = sin t.
z sin T
z2 – 2z cos T+1
z Cos T'
z2 – 2z sin T+1
z Cos 2T
z2 + 2z sin 2T – 1
z sin T
z2 + 2z cos T
1
Transcribed Image Text:6. Sequences are generated by sampling a causal continuous-time signal u(t) (t > 0) at uniform intervals T. Write down an expression for uk, the general term of the sequence, and calculate the corresponding z transform when u(t) = sin t. z sin T z2 – 2z cos T+1 z Cos T' z2 – 2z sin T+1 z Cos 2T z2 + 2z sin 2T – 1 z sin T z2 + 2z cos T 1
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