| Line 1: | Line 1: | ||
| − | <div style="font-family: Verdana, sans-serif; font-size: 14px; text-align: justify; width: 80%; margin: auto; border: 1px solid #aaa; padding: 1em;"> | + | <div style="font-family: Verdana, sans-serif; font-size: 14px; text-align: justify; width: 80%; margin: auto; border: 1px solid #aaa; padding: 1em; text-align:right;"> |
| − | + | {| | |
| + | |- | ||
| + | |'''If you enjoy using this [[Collective_Table_of_Formulas|collective table of formulas]], please consider [https://donate.purdue.edu/DesignateGift.aspx?allocation=017637&appealCode=11213&amount=25&allocationDescription=RheaProjectMimiBoutin donating to Project Rhea] or [[Donations | becoming a sponsor]].''' | ||
| + | | [[Image:DonateNow.png]] | ||
| + | |- | ||
| + | |} | ||
</div> | </div> | ||
Revision as of 05:27, 2 November 2011
| If you enjoy using this collective table of formulas, please consider donating to Project Rhea or becoming a sponsor. | 
|
| Basic Signals and Functions in one variable | |
|---|---|
| Continuous-time signals. | |
| sinc function | $ sinc(t )=\frac{sin(\pi t )}{\pi\theta}, \text{ where }t\in {\mathbb R} $ |
| rect function | $ rect (t) = \left\{ \begin{array}{ll}1, & \text{ for } |t|\leq \frac{1}{2} \\ 0, & \text{ else}\end{array}\right., \text{ where }t\in {\mathbb R} $ |
| CT unit step function | $ u(t)=\left\{ \begin{array}{ll}1, & \text{ for } t\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ where }t\in {\mathbb R} $ |
| Discrete-time signals | |
| DT delta function | $ \delta[n]=\left\{ \begin{array}{ll}1, & \text{ for } n=1 \\ 0, & \text{ else}\end{array}\right., \text{ where }n\in {\mathbb Z} $ |
| DT unit step function | $ u[n]=\left\{ \begin{array}{ll}1, & \text{ for } n\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ where }n\in {\mathbb Z} $ |
| Basic Signals and Functions in two variables | |
| Continuous-time | |
|
(info) 2D sinc dirac delta |
$ \delta(x,y)=\delta(x) \delta(y), \text{ where }x,y\in {\mathbb R} $ |
|
(info) 2D sinc function |
$ sinc(x,y)=\frac{sin(\pi x)sin(\pi y)}{(\pi\theta)^2}, \text{ where }x,y\in {\mathbb R} $ |
|
(info) 2D rect function |
$ rect(x,y)= \left\{ \begin{array}{ll}1, & \text{ for } |x|\leq \frac{1}{2} \text{ and } |y|\leq \frac{1}{2} \\ 0, & \text{ else}\end{array}\right., \text{ where }x,y\in {\mathbb R} $ |
