Deep learning-aided phase noise cancellation for discrete fourier transform–spread orthogonal frequency division multiplexing

A network device configured to:

• receive a data transmission;
• obtain from the data transmission a signal corresponding to a discrete Fourier transform-spread (DFT-s) symbol, the DFT-s symbol including a first phase-tracking reference signal (PTRS) symbol and a second PTRS symbol separated from the first PTRS symbol by one or more data symbols, each of the first PTRS symbol, the second PTRS symbol, and the one or more data symbols corresponding to a respective subcarrier of a set of K subcarriers, K being a whole number;
• generate, by a first neural network, a respective set of PN candidates for each time point of a set of K time points, the set of K time points spanning the signal;
• determine, for each PN candidate, a respective value of a path metric in accordance with the signal, each value of the path metric representing a likelihood for the respective PN candidate;
• generate, by a second neural network, a respective weight for each PN candidate in accordance with the respective value of the path metric;
• determine, for each time point of the set of K time points, a respective PN estimate in accordance with the respective set of PN candidates and each respective weight therefor, all the PN estimates forming a PN sequence;
• and
• compensate the signal in accordance with the PN sequence.

A method for transmitting data from a sender device to a receiver device, the method comprising, at the sender device:

• obtaining a sequence of bits representing the data;
• mapping, by a discrete Fourier transform (DFT), the sequence of bits onto a series of subcarriers of a frequency band to form a DFT-spread symbol;
• embedding, in the DFT-spread symbol, a first phase-tracking reference signal (PTRS) symbol and a second PTRS symbol, the first PTRS symbol corresponding to a respective further subcarrier of the frequency band preceding the series of subcarriers, the second PTRS symbol corresponding to a respective further subcarrier of the frequency band succeeding the series of subcarriers;
• modulating, by orthogonal frequency division multiplexing (OFDM), the DFT-spread symbol to produce a DFT-s-OFDM waveform;
• and
• transmitting, by the frequency band, the DFT-s-OFDM waveform to the receiver device.