# Difference between revisions of "User:CSeguinot"

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And here's some following text to the formulas. | And here's some following text to the formulas. | ||

Such a modulated signal ''m(t)'' and it's complex representation <math>\tilde{m}(t)</math> is : | |||

The complex representation is obtained by replacing the cos function by an exponent function. The real signal correspond to the real part of the complex signal . | :: <math>m(t)=a(t) \cos(2\pi F_0t + \phi(t))</math> | ||

:: <math>\tilde{m}(t)=a(t) e^{(j(2\pi F_0t + \phi(t)))} = a(t) e^{j \phi(t)} e^{j2\pi F_0t}</math> | |||

The complex representation is obtained by replacing the cos function by an exponent function. The real signal correspond to the real part of the complex signal <math>m(t)=\text{Re}(\tilde{m}(t))</math>. |

## Revision as of 20:55, 20 January 2021

## This page is a temporary test

This is some text in the header... \f{html}{ enter Latex formula here -> will only show up in the HTML document. }

\xmlonly Same Latex formula, but this will not be processed; will only be the raw Latex formula. \endxmlonly

And here's some following text to the formulas.

Such a modulated signal *m(t)* and it's complex representation is :

The complex representation is obtained by replacing the cos function by an exponent function. The real signal correspond to the real part of the complex signal .