Difference between revisions of "Table of Formulas and Properties ECE301Fall2008mboutin" - Rhea

Revision as of 17:51, 14 October 2008

Please follow the following model to add your formulas:

{{:name of the page with your formula}}

in the place where you want your formula to appear in this table. (Look at the syntax of the geometric series below for an example.) This will allow other people to refer to your formula later on (by refering to the corresponding page) while still being able to view all formulas on this page.

General Purpose Formulas

Series

• Finite Geometric Series Formula_ECE301Fall2008mboutinFinite Geometric Series Formula
• Infinite Geometric Series Formula_ECE301Fall2008mboutinInfinite Geometric Series Formula

Discrete-time domain

Useful Formulas

• DT Fourier Transform_ECE301Fall2008mboutin DT Fourier Transform
• DT Inverse Fourier Transform_ECE301Fall2008mboutin DT Inverse Fourier Transform
• put a formula here following syntax described at top of page.

DT Fourier Transform Pairs

• put a pair here following syntax described at top of page.
• put a pair here following syntax described at top of page.

DT Fourier Transform Properties

• DT Fourier Transform Multiplication_ECE301Fall2008mboutin DT Fourier Transform Multiplication
• DT Fourier Transform _ECE301Fall2008mboutin DT Fourier Transform

Continuous-time domain

Useful Formulas

• CT_Fourrier_Coefficients_ECE301Fall2008mboutin CT Fourrier Coeffiecients
• put a formula here following syntax described at top of page.

CT Fourier Transform Pairs

• CT_Fourier Pairs 1_ECE301Fall2008mboutinCT Fourier Pairs 1
• CT_Fourier Pairs 2_ECE301Fall2008mboutinCT Fourier Pairs 2
• put a pair here following syntax described at top of page.

CT Fourier Transform Properties

• CT_Fourier_Int/Diff_ECE301Fall2008mboutinCT Fourier Int/Diff
• CT Time and Frequency Scaling_ECE301Fall2008mboutin : $ x(at) \leftarrow \rightarrow \frac{1}{|a|}X(\frac{j\omega }{a})\, $
• CT Convolution_ECE301Fall2008mboutin : $ F(x_1(t)*x_2(t)) = X_1(\omega)X_2(\omega) \! $
• CT Frequency Shifting_ECE301Fall2008mboutin : $ F(e^{jw0t}x(t)) = X(j(w - w0)) \! $
• put a property here following syntax described at top of page.