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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 caloulate the
corresponding z transform when u(t) =
sin 2t.
z sin 2T
z2 + 2z cos 2T – 1
z cos 2T
z2
2z sin 27 + 1
z cos 2T
z2 + 2z sin 2T – 1
z sin 2T
|
z2 – 2z cos 2T +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 caloulate the corresponding z transform when u(t) = sin 2t. z sin 2T z2 + 2z cos 2T – 1 z cos 2T z2 2z sin 27 + 1 z cos 2T z2 + 2z sin 2T – 1 z sin 2T | z2 – 2z cos 2T +1
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