A Primer on Orthogonal Delay-Doppler Division Multiplexing (ODDM)

As a new type of multicarrier (MC) scheme built upon the recently discovered delay-Doppler domain orthogonal pulse (DDOP), orthogonal delay-Doppler division multiplexing (ODDM) aims to address the challenges of waveform design in linear time-varying channels. In this paper, we explore the design principles of ODDM and clarify the key ideas underlying the DDOP. We then derive an alternative representation of the DDOP and highlight the fundamental differences between ODDM and conventional MC schemes. Finally, we discuss and compare two implementation methods for ODDM.