Article | REF: D31 V1

Mathematics for electricians - Complex numbers

Author: Claude ROUXEL

Publication date: May 10, 1999

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5. Cissoidal transformation

In this section, we adopt the convention of underlining complex variables.

5.1 Definition

Consider a sinusoidal signal of pulsation ω applied to a linear system :

f (t ) = A sin( ωt + ϕ )

By developing the sine, we can also write :

f (t ) = a sin ωt + b cosωt

with :

${\begin{array}{l} a = A cos φ \end{array}$

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Cissoidal transformation