Sampled Laplace transform
Frequency study of sampled systems
Archive REF: R7180 V1
Sampled Laplace transform
Frequency study of sampled systems

Authors : Claude HUMBERT, Michel AUBRUN

Publication date: July 10, 1982, Review date: September 16, 2024 | Lire en français

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1. Sampled Laplace transform

Note :

The reader is referred to the article Deterministic signals. Transforms and abacuses in the present treaty.

1.1 Expressions

  • Recall that, if F (p ) is the Laplace transform of a continuous signal f (t ), the Laplace transform F * (p ) of the same signal sampled at pulsation Ω = 2 π / T, where T is the sampling period, is deduced from F (p ) by : F* (p)=1T ∑k=−∞+∞F(p+jkΩ)

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