10/10,13,16,17 - Fourier Transform Properties: Difference between revisions
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===Differentiation in Time=== |
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|Thus <math>\frac{dx}{dt}</math> is a linear filter with transfer function <math>j\,2\pi f</math> |
|Thus <math>\frac{dx}{dt}</math> is a linear filter with transfer function <math>j\,2\pi f</math> |
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===The Game (frequency domain)=== |
===The Game (frequency domain)=== |
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Revision as of 17:13, 23 November 2008
Properties of the Fourier Transform
Linearity
Time Invariance (Delay)
Let and | ||
Frequency Shifting
Double Sideband Modulation
Differentiation in Time
Thus is a linear filter with transfer function |
The Game (frequency domain)
Input | LTI System | Output | Reason |
Given | |||
Proportionality | |||
Superposition | |||
The notes have Is this an error? | Time Invariance | ||
Proportionality | |||
Superposition |