Skip to content

Category: CSE348 Signals

Complex Signals

A signal may be a complex function of time. The most important complex signal we will investigate is the complex exponential function \begin{eqnarray} f(t) =…

Comments closed

Vector Spaces

Vector Spaces Merriam-webster dictionary defines a vector as “….a quantity that has magnitude and direction and that is commonly represented by a directed line segment…

Comments closed

Fourier Transform

CONTINUOUS TIME FOURIER SERIES A CT fourier series is nothing but the expansion of continuous function $x(t)$ into the complex exponential basis. This is a…

Comments closed

Discrete Fourier Transforms

$$ \begin{eqnarray} x[n] = \frac{1}{2\pi} \int_{<2\pi>}X(\Omega)e^{i\Omega n}d\Omega\\\\ X(\Omega) = \sum_{k=-\infty}^{\infty}x[k]e^{-i\Omega k} \end{eqnarray}$$ DFT FOR PERIODIC CASE Consider a periodic signal $x[n]$, $x[n+N]=x[n]$. $$ \begin{eqnarray} X(\Omega)…

Comments closed