Keyboard shortcuts

Press or to navigate between chapters

Press S or / to search in the book

Press ? to show this help

Press Esc to hide this help

OFDM

OFDM — Orthogonal frequency domain multiplexing

  • Multiple carriers for one datastream
  • Subcarriers are orthogonal
  • There is a guard interval

The orthogonality requires that the subcarrier spacing is:

\( \Delta f = \frac{k}{T_U} \) Hz, where

  • \( k \) is a positive integer, typically equal to 1

  • \( T_U \) seconds, the useful symbol duration (the receiver-side window size)

This stipulates that each carrier frequency undergoes \( k \) more complete cycles per symbol period than the previous carrier.

Therefore, with \( N \) subcarriers, the total passband bandwidth will be \( B \approx N \cdot \Delta f \) (Hz).

Courtesy of Wikipedia.

What does this look like?

If \( \Delta f \) Hz is chosen correctly, transmitted signals look like this…

ofdm-freq-time representation

Image courtesy of Keysight.

  • 8 subcarriers
  • 1 OFDM symbol per unit interval
  • Orthogonal signals eliminate crosstalk between subcarriers

Terms

Symbol

  • A waveform in the communication channel that persists for a period of time

Symbol Duration Time

  • AKA, unit interval
  • AKA, baud rate

\( T_s = \frac{1}{f_s} \)

FFT — Fast Fourier Transform

  • Used to decode a recovered RF signal

IFFT — Inverse Fast Fourier Transform

  • Used to encode a symbol into RF

References

Concepts of Orthogonal Frequency Division Multiplexing (OFDM) and 802.11 WLAN

Orthogonal frequency-division multiplexing - Wikipedia

Last Modified • Monday, June 29, 2026. 8:04 pm UTC+00:00 • Commit: c1bf1e2