Article | REF: S7170 V1

Frequency study of continuous systems

Authors: John J. MARTINEZ MOLINA, Gabriel BUCHE

Publication date: June 10, 2011

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3. Graphical representations of the frequency response of a linear system

3.1 Notions of gain and phase

The frequency response T (jω) is a complex number that can be decomposed into a modulus and an argument:

T (jω) = A (ω) exp jφ(ω)

with A(ω)=|T(jω)|

and φ (ω) = arg T (jω).

Knowledge of A (ω) and φ (ω) allows us to fully characterize T (jω), and therefore the system as we saw earlier (§ 2.2).

As in general, A (ω) is a decreasing function of ω; we usually speak of attenuation instead...

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Graphical representations of the frequency response of a linear system