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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) Area under x(t) 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) 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 09-01-31 ...
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This note was uploaded on 07/16/2009 for the course SYSC 3501 taught by Professor Osama during the Summer '09 term at Carleton CA.
- Summer '09