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Show the mapping from s-plane to z-plane using Impulse Invariant method and explain its limitation. Using this method determine H(z). Assume T= 0.1 sec.
written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 4.6 years ago

$H(s)=\frac{3}{((s+2)(s+3))}$

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discrete time signal processing
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written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k

Limitation:

  • We know that Ω is analog frequency and its range is from $\frac{π}{T_s}$ to $\frac{-π}{T_s}$ . While the digital frequency ωvaries from -π to π. That total means from $\frac{π}{T_s}$ to $\frac{-π}{T_s}$ .ω maps from -π to π. Let K be any integer. Then we can write the general …

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