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=== Useful Formulas === | === Useful Formulas === | ||
| + | *[[CT Fourier Transform_ECE301Fall2008mboutin]] {{:CT Fourier Transform}} | ||
| + | *[[CT Inverse Fourier Transform_ECE301Fall2008mboutin]] {{:CT Inverse Fourier Transform}} | ||
| + | *[[CT Laplace Transform_ECE301Fall2008mboutin]] {{:CT Laplace Transform}} | ||
*[[CT_Fourrier_Coefficients_ECE301Fall2008mboutin]] {{:CT_Fourrier_Coeffiecients}} | *[[CT_Fourrier_Coefficients_ECE301Fall2008mboutin]] {{:CT_Fourrier_Coeffiecients}} | ||
*[[Time_Shifting_ECE301Fall2008mboutin]] {{:Time Shifting Property}} | *[[Time_Shifting_ECE301Fall2008mboutin]] {{:Time Shifting Property}} | ||
Revision as of 18:27, 17 November 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.
Contents
DT Fourier Transform Properties
- DT Fourier Transform Multiplication_ECE301Fall2008mboutin DT Fourier Transform Multiplication
- DT Fourier Transform Convolution_ECE301Fall2008mboutin DT Fourier Transform Convolution
- DT Fourier Transform Time Reversal_ECE301Fall2008mboutin DT Fourier Transform Time Reversal
- DT Fourier Transform Duality_ECE301Fall2008mboutin DT Fourier Transform Duality
Parsevel Relationship for DT signals
Continuous-time domain
Useful Formulas
- CT Fourier Transform_ECE301Fall2008mboutin CT Fourier Transform
- CT Inverse Fourier Transform_ECE301Fall2008mboutin CT Inverse Fourier Transform
- CT Laplace Transform_ECE301Fall2008mboutin CT Laplace Transform
- CT_Fourrier_Coefficients_ECE301Fall2008mboutin CT Fourrier Coeffiecients
- Time_Shifting_ECE301Fall2008mboutin Time Shifting Property
- CT Energy of a Signal_ECE301Fall2008mboutin CT Energy of a Signal
- CT Time-averaged Power of a Signal over an infinite interval_ECE301Fall2008mboutin CT Power of a Signal
CT Fourier Transform Pairs
- (1)CT Fourier Pairs 1
- (2)CT Fourier Pairs 2
- (3) CT Fourier Pairs 3
- (4) CT Fourier Pairs 4
- (5) CT Fourier Pairs 5
- (6) CT Fourier Pairs 6
- (7) CT Fourier Pairs 7
- (8) CT Fourier Pairs 8
- (9) CT Fourier Pairs 9
- (10) CT Fourier Pairs 10
- (11) CT Fourier Pairs 11
- (12) CT Fourier Pairs 12
CT Fourier Transform Properties
- 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)) \! $
- CT Multiplication Property Mimis Version_ECE301Fall2008mboutinCT Multiplication Property Mimis Version
- CT Duality Property_ECE301Fall2008mboutin :$ F(x(t)) = X(w) = 2\pi x(-w) \! $ CT Duality Property
Parsevel Relationship for CT signals
- Parseval's Relation for Aperiodic Signals_ECE301Fall2008mboutinParseval's Relation for Aperiodic Signals
- put a property here following syntax described at top of page.
