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| − | ! colspan="2" style="background: #e4bc7e; font-size: 110%;" | | + | ! colspan="2" style="background: #e4bc7e; font-size: 110%;" | Basic Signals and Functions in one variable |
|- | |- | ||
| − | ! colspan="2" style="background: #eee;" | | + | ! colspan="2" style="background: #eee;" | Continuous-time signals |
|- | |- | ||
| − | | align="right" style="padding-right: 1em;" | sinc function || <math>sinc( | + | | align="right" style="padding-right: 1em;" | sinc function || <math>sinc(t )=\frac{sin(\pi t )}{\pi\theta}, \text{ for }t\in {\mathbb R}</math> |
|- | |- | ||
| − | + | | align="right" style="padding-right: 1em;" | rect function || <math>rect (t) = \left\{ \begin{array}{ll}1, & |t|\leq \frac{1}{2} \\ 0, & \text{ else}\end{array}\right., \text{ for }t\in {\mathbb R}</math> | |
|- | |- | ||
| align="right" style="padding-right: 1em;" | CT unit step function || <math> u(t)=\left\{ \begin{array}{ll}1, & t\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }t\in {\mathbb R}</math> | | align="right" style="padding-right: 1em;" | CT unit step function || <math> u(t)=\left\{ \begin{array}{ll}1, & t\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }t\in {\mathbb R}</math> | ||
| + | |- | ||
| + | ! colspan="2" style="background: #eee;" | Discrete-time signals | ||
|- | |- | ||
| align="right" style="padding-right: 1em;" | DT unit step function || <math>u[n]=\left\{ \begin{array}{ll}1, & n\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }n\in {\mathbb Z} </math> | | align="right" style="padding-right: 1em;" | DT unit step function || <math>u[n]=\left\{ \begin{array}{ll}1, & n\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }n\in {\mathbb Z} </math> | ||
| − | |||
| − | |||
|- | |- | ||
| align="right" style="padding-right: 1em;" | CT unit impulse (Dirac Delta) || | | align="right" style="padding-right: 1em;" | CT unit impulse (Dirac Delta) || | ||
| + | |- | ||
| + | ! colspan="2" style="background: #e4bc7e; font-size: 110%;" | Basic Signals and Functions in two variables | ||
| + | |- | ||
| + | ! colspan="2" style="background: #eee;" | Continuous-time | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | ([[2D_delta|info]]) 2D sinc dirac delta | ||
| + | | <math>\delta(x,y)=\delta(x) \delta(y)</math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | ([[2D_Sinc|info]]) 2D sinc function | ||
| + | | <math>sinc(x,y)=\frac{sin(\pi x)sin(\pi y)}{(\pi\theta)^2}</math> | ||
|} | |} | ||
Revision as of 13:32, 12 November 2010
| Basic Signals and Functions in one variable | |
|---|---|
| Continuous-time signals | |
| sinc function | $ sinc(t )=\frac{sin(\pi t )}{\pi\theta}, \text{ for }t\in {\mathbb R} $ |
| rect function | $ rect (t) = \left\{ \begin{array}{ll}1, & |t|\leq \frac{1}{2} \\ 0, & \text{ else}\end{array}\right., \text{ for }t\in {\mathbb R} $ |
| CT unit step function | $ u(t)=\left\{ \begin{array}{ll}1, & t\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }t\in {\mathbb R} $ |
| Discrete-time signals | |
| DT unit step function | $ u[n]=\left\{ \begin{array}{ll}1, & n\geq 0 \\ 0, & \text{ else}\end{array}\right., \text{ for }n\in {\mathbb Z} $ |
| CT unit impulse (Dirac Delta) | |
| Basic Signals and Functions in two variables | |
| Continuous-time | |
|
(info) 2D sinc dirac delta |
$ \delta(x,y)=\delta(x) \delta(y) $ |
|
(info) 2D sinc function |
$ sinc(x,y)=\frac{sin(\pi x)sin(\pi y)}{(\pi\theta)^2} $ |
