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
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...
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
The Ultimate Scientific and Technical Reference
This article is included in
Control and systems engineering
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Graphical representations of the frequency response of a linear system
Bibliography
Software tools
MATLAB ® (R2007b), developed by MathWorks
Websites
HADOC: Hyper DOCument in Automation
GRENOBLE-INP, GIPSA-lab Laboratory Automatic Control Department
HADOC was supported by the ARIADNE project in 1995-1997.
http://www-hadoc.lag.ensieg.inpg.fr/
MathWorks
Exclusive to subscribers. 97% yet to be discovered!
You do not have access to this resource.
Click here to request your free trial access!
Already subscribed? Log in!
The Ultimate Scientific and Technical Reference