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Revision as of 06:20, 5 April 2012

This Collective table of formulas is proudly sponsored
by the Nice Guys of Eta Kappa Nu.

Visit us at the HKN Lounge in EE24 for hot coffee and fresh bagels only $1 each!

                                         HKNlogo.jpg


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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Basic linear algebra uncovers and clarifies very important geometry and algebra.

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