Formula sheet - SYSC3501 Communication Theory Function...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: SYSC3501 Communication Theory Function Definitions Function Unit step function Definition Equations Name Fourier Transform Inverse Fourier Transform Equation Dirac delta function Satisfies the following pair of relations and Frequency-wavelength relationship Fourier Transform Pairs Time function x(t) Rectangular function Fourier Transform X(f) Signum function Sinc function Triangle function Convolution Constants Name Boltzmann's constant Planck's constant Electron (fundamental) charge Speed of light in vacuum Standard (absolute) temperature Thermal voltage (room temperature) One Hertz (Hz) One Watt (W) Base of natural logarithm Pi Trigonometric Identities Value Fourier Transform Properties Property Time function x(t) Linearity Dilation (time scaling) Duality Time shifting Frequency shifting Modulation (cos) Fourier Transform X(f) Modulation (sin) Antenna Gains and Effective Areas Antenna Type Power Gain Isotropic Infinitesimal dipole or loop Half-wave dipole Horn (optimized), mouth area A Parabola or "dish" with face area A Turnstile (two crossed dipoles fed 90° out of phase) Area under x(t) Effective Area Area under X(f) Differentiation (time) Integration (time) Differentiation (frequency) Conjugate functions Multiplication (time) Convolution (time) Correlation theorem Rayleigh's energy theorem Last updated 09-02-09 ...
View Full Document

This note was uploaded on 02/15/2011 for the course SYSC 3600 taught by Professor Adsd during the Spring '10 term at Universidad Alfonso X El Sabio.

Ask a homework question - tutors are online