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'''This [[Collective Table of Formulas|Collective table of formulas]] is proudly sponsored'''<br> '''by the [http://www.facebook.com/hkn.beta Nice Guys of Eta Kappa Nu].''' <br><br> Visit us at the [[HKN|HKN Lounge]] in EE24 for hot coffee and fresh bagels only $1 each!
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'''[[Collective_Table_of_Formulas|Collective Table of Formulas]]'''
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Revision as of 12:41, 19 April 2013


Collective Table of Formulas

click here for more formulas


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} $

Go to Relevant Course Page: ECE 301

Go to Relevant Course Page: ECE 438

Go to Relevant Course Page: ECE 538

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett