Difference between revisions of "SignalDefinitions" - Rhea

Revision as of 15:21, 14 December 2011

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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	$rect(x,y)= \left\{ \begin{array}{ll}1, & \text{ for } \|x\|\leq \frac{1}{2} \text{ and } \|y\|\leq \frac{1}{2} \\ 0, & \text{ else}\end{array}\right., \text{ where }x,y\in {\mathbb R}$

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+[[ECE538|Go to Relevant Course Page: ECE 538]]
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 [[Category:Formulas]]