Difference between revisions of "User:CSeguinot"
Line 11: | Line 11: | ||
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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \tilde{m}(t)}
is :
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m(t)=a(t) \cos(2\pi F_0t + \phi(t))}
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \tilde{m}(t)=a(t) e^{(j(2\pi F_0t + \phi(t)))} = a(t) e^{j \phi(t)} e^{j2\pi F_0t}}
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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle m(t)=\text{Re}(\tilde{m}(t))}
.