Wednesday, August 5, 2015

Time‐Frequency Analysis

A signal has one or more frequencies in it, and can be viewed from two different standpoints: Time domain and Frequency domain.




Time‐domain figure: how a signal changes over time
Frequency‐domain figure: how much of the signal lies within each given frequency band over a range of frequencies

Why frequency domain analysis? 
  • To decompose a complex signal into simpler parts to facilitate analysis
  • Differential and difference equations and convolution operations in the time domain become algebraic operations in the frequency domain
  • Fast Algorithm (FFT)

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