ODDM Waveform

Orthogonal Delay-Doppler Division Multiplexing (ODDM)

A novel delay-Doppler domain multi-carrier (DDMC) waveform

based on the newly discovered delay-Doppler domain/plane orthogonal pulse (DDOP)

ddop


News:


Publications:


Q&A:  (Questions or comments are appreciated. Email to hai.lin[at]ieee.org)

    • What is the waveform of ODDM
      • An example of ODDM waveform having M multi-carrier (MC) symbols is shown below, where each MC symbol has N=4 subcarriers and pulse-shaped by the DDOP namely a pulse-train being composed of N sub-pulses. In particular, the sub-pulses are root Nyquist pulses, for example, the root raised cosine (RRC) pulses. As a result, each MC symbol has N sections in time domain,  and then M symbols form an ODDM frame in a staggered manner.oddm_waveform_image

Demo code:  Coming soon. Please check our new site at: https://oddm.io

   Being a standard multi-carrier waveform, ODDM can be implemented using the methods described in Section III.D of "Multi-Carrier Modulation: An Evolution from Time-Frequency Domain to Delay-Doppler Domain" by replacing  the prototype pulse with the DDOP. Additionally, an approximate implementation method for ODDM is presented in Section VII.C of the same paper and Section III.B  of "Orthogonal Delay-Doppler Division Multiplexing Modulation." As explained in Remark 4, ODDM is a type of pulse-shaped OFDM waveform and can be approximately generated as a wideband filtered OFDM.