FT Tables_rev3

FT Tables_rev3 - Fourier Transform Table Time Signal 1,...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Fourier Transform Table Time Signal Fourier Transform < < t , 1 ) ( 2 ω πδ ) ( 5 . 0 t u + j / 1 ) ( t u j / 1 ) ( + ) ( t δ < < , 1 real ), ( c c t real , c e c j 0 ), ( > b t u e bt 0 , 1 > + b b j , real o jt o e real ), ( 2 o o ) ( t p τ [ ] π τω 2 / sinc [] 2 / sinc t ) ( 2 p ) ( 1 2 t p t [ ] πω 4 / sinc 2 2 πτ 4 / sinc 2 2 t [ ] ) ( 1 2 2 p ) cos( t o [ ] ) ( ) ( o o + + ) cos( θ + t o [ ] ) ( ) ( o j o j e e ωω δω ωδπ + + ) sin( t o [ ] ) ( ) ( o o j + ) sin( + t o ()() jj oo je e θθ +−
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Fourier Transform Properties Property Name Property Linearity ) ( ) ( t bv t ax + ) ( ) ( ω bV aX + Time Shift ) ( c t x ) ( X e c j Time Scaling 0 ), ( a at x 0 ), / ( 1 a a X a Time Reversal ) ( t x real is ) ( if ) ( ) ( t x X X Multiply by t n , 3 , 2 , 1 ), ( = n t x t n , 3 , 2 , 1 ), ( = n X d d j n n n Multiply by Complex Exponential real ), ( o t j t x e o real ), ( o o X Multiply by Sine ) ( ) sin( t x t o [] ) ( ) ( 2 o o X X j ωω + Multiply by Cosine ) ( ) cos( t x t o ) ( ) ( 2 1 o o X X + + Time Differentiation , 3 , 2 , 1 ), ( = n t x dt d n n , 3 , 2 , 1 ), ( ) ( = n X j n Time Integration t d x λλ ) ( ) ( ) 0 ( ) ( 1 ωδπ X X j + Convolution in Time ) ( * ) ( t h t x ) ( ) ( H X Multiplication in Time ) ( ) ( t w t x ) ( * ) ( 2 1 π W X Parseval’s Theorem (General)
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

FT Tables_rev3 - Fourier Transform Table Time Signal 1,...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online