TableFT - Properties of the Fourier Transform Property ( )...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Properties of the Fourier Transform Property ( ) t f ( ) F ___________________________________________________________________________ Linearity (Superposition) ( ) ( ) t f a t f a 2 2 1 1 + ( ) ( ) 2 2 1 1 F a F a + Time Shifting ( ) d t t f ( ) F e d t j Time Scaling ( ) ct f c F c 1 Symmetry (Duality) ( ) t F ( ) f 2 Time Reversal ( ) t f ( ) F Frequency Scaling ( ) t j c e t f ( ) c F Modulation ( ) ( ) t cos t f c ( ) ( ) c c F F + + 2 1 2 1 Time Differentiation ( ) dt t df ( ) F j Frequency Differentiation ( ) t tf ( ) d dF j Conjugate ( ) t f * ( ) * F Integration ( ) t d f ( ) ( ) ( ) 1 F F j + Convolution ( ) ( ) d t x h ( ) ( ) X H Multiplication ( ) ( ) t f t f 2 1 ( ) ( ) dv v F v F 2 1 2 1 Parsevals Theorem ( ) dt t f 2 ( )...
View Full Document

Page1 / 3

TableFT - Properties of the Fourier Transform Property ( )...

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