Table 4 Transceiver processing steps for FD equalization of Zak-OTFS assuming perfect channel knowledge
From: Low-complexity equalization of Zak-OTFS in the frequency domain
Transceiver Operation | Description |
|---|---|
Information symbol generation | Generate the M × N matrix of i.i.d. information symbols X[k0, l0], 0 ≤ k0 ≤ (M − 1), 0 ≤ l0 ≤ (N − 1), in the delay-Doppler (DD) domain |
Convert to FD | Perform the Inverse Discrete Frequency Zak Transform (IDFZT) as per (21) to transform the DD information symbols X[k0, l0] to the MN × 1 FD vector s |
Mask the FD vector | Zero out the first & last b entries in the FD vector s to generate \({{\bf{s}}}^{{\prime} }\) according to (43) |
Channel propagation | Transmit the masked FD vector \({{\bf{s}}}^{{\prime} }\) through a doubly-spread channel to receive FD vector \({{\bf{r}}}^{{\prime} }\) as per (44) |
Low-complexity equalization | Perform low-complexity equalization on \({{\bf{r}}}^{{\prime} }\) to obtain FD vector \(\widetilde{{\bf{s}}}\) via conjugate gradient method in Algorithm 1 |
Information symbol detection | Perform the DFZT on \(\widetilde{{\bf{s}}}\) and detect information symbols in the DD domain via (52) |
