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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{ 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} $

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Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang