# Bandwidth-limited pulse

Any waveform can be disassembled into its spectral components by Fourier analysis or Fourier transformation. The length of a pulse thereby is determined by its complex spectral components, which include not just their relative intensities, but also the relative positions (spectral phase) of these spectral components. For different pulse shapes, the time-bandwidth product (TBP) is different. For example, ${\displaystyle \mathrm {sech^{2}} }$ pulses have TBP of 0.315 and gaussian pulses have TBP of 0.441.