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Fourier Transform (FT)

Time signal can be decomposed into sum of

sinusoids of different frequencies, phases and

amplitudes

Fourier series may be represented by frequency

spectrum

Time and frequency domain data can be thought

of as FT pairs

s(t) = a

0

+ a

1

sin(

ω

1

t +

ϕ

1

) + a

2

sin(

ω

2

t +

ϕ

2

) + …