Iterative decoding of orthogonal time frequency space waveforms in the delay-doppler domain

A method of wireless communication, comprising:

• obtaining, by a receiver from a transmitter, a two-dimensional delay-Doppler representation of a received wireless signal in a delay-Doppler grid, wherein the received wireless signal is received over a wireless channel;
• determining an estimated channel response of the wireless channel from a portion of the delay-Doppler grid corresponding to a channel estimation portion;
• performing, using the estimated channel response, channel equalization in a delay-Doppler domain that includes generating, for each delay-Doppler data symbol, x [n, m], an a posteriori probability estimate of each delay-Doppler data symbol using
• p({circumflex over (x)}k[n,m])=Pr(x[n,m]=ck|y,h)
• where, ck is a symbol in C that is a set of symbol constellation points from which symbols were selected at the transmitter, y is the received wireless signal, and h is the estimated channel response, thereby generating a posteriori probability estimates of data symbols in the received wireless signal, wherein the a posteriori probability estimates are generated based on a priori feedback that is generated using an iterative process;
• and
• further processing the a posteriori probability estimates of data symbols to recover information bits from the received wireless signal.