Physics · Signals and Systems
Consider the continuous-time transfer function Hc(s) = 1(s + 1)(s + 3). A bilinear transformation with a sampling period of 0.1 s is employed to obtain the discrete-time transfer function Hd(z). Then Hd(z) is:
- 1(1 + z-1)2(21 - 19z-1)(17 - 23z-1)
- 2(1 + z-1)2(21 - 19z-1)(23 - 17z-1)✓
- 3(1 - z-1)2(21 - 19z-1)(17 - 23z-1)
- 4(1 + z-1)2(19 - 21z-1)(23 - 17z-1)
Correct answer
(1 + z-1)2(21 - 19z-1)(23 - 17z-1)
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