Fourier Analysis

• Fourier Transforms With scipy.fft: Python Signal Processing – Real Python

• Signal = information changing over time

• Frequency = the speed of repeats

• Power = amplitude

• Time Domain

• Frequency Domain

  • frequencies associated with power

$f(k)={\int }_{-\infty }^{\infty }f(x)e^{-2\pi ikx}dx$

• removing unwanted noise (e.g. from audio)

• Fast Fourier Transform

• Discrete Cosine Transform

• Discrete Sine Transform