Imaging for Physicists

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 ) + …