Random-access communication with tensor based modulation of first message part for non-coherent demodulation and coherent demodulation of second message part

A receiving device for random access communication, comprising:

• at least one antenna configured to receive a plurality of radio frequency signals concurrently from a plurality of transmitting devices;
• a demodulation circuit configured to demodulate the received plurality of radio frequency signals into demodulated signals;
• a splitting circuit configured to split the demodulated signals into first baseband signals and second baseband signals;
• a separation circuit configured to:
• generate a plurality of first estimated symbol vectors from the first baseband signals, using a rank-1 tensor structure of order d associated with each transmitting device, where d>1;
• generate a plurality of estimated channel parameters associated with the plurality of transmitting devices and a plurality of estimated precoding matrices associated with the plurality of transmitting devices, based on the first baseband signals;
• an equalizing circuit configured to:
• generate a plurality of second estimated symbol vectors from the second baseband signals, based on the plurality of estimated precoding matrices and the plurality of estimated channel parameters;
• and
• a decoding circuit configured to:
• decode each of the first and second estimated symbol vectors to generate a plurality of decoded messages, each decoded message comprising a first sequence of bits that corresponds to a first part of data and a second sequence of bits that corresponds to a second part of data associated with a corresponding transmitting device amongst the plurality of transmitting devices.

A method for random access communication, comprising:

• acquiring, by an encoding circuit of a transmitting device, an input message;
• encoding, by the encoding circuit, the input message into a first sequence of bits and a second sequence of bits;
• splitting, by the encoding circuit, the first sequence of bits in d blocks of bits, where d>1;
• determining, by the encoding circuit, d vectors based on the d blocks of bits;
• constructing a first symbol vector, by a first mapping circuit of the transmitting device, by computing a Kronecker product of the d vectors to generate a rank-1 tensor structure of order d;
• mapping, by a second mapping circuit of the transmitting device, the second sequence of bits to a vector of baseband symbols;
• applying, by the second mapping circuit, an allocation matrix to the vector of baseband symbols to generate a second symbol vector, wherein the allocation matrix is a precoding matrix based on the first sequence of bits;
• concatenating, by a concatenation circuit of the transmitting device, the first symbol vector and the second symbol vector into a baseband symbol vector;
• modulating, by a modulation circuit of the transmitting device, the baseband symbol vector to generate a modulated symbol vector comprising modulated symbols;
• and
• transmitting, by at least one antenna of the transmitting device, each modulated symbol of the modulated symbol vector in a radio frequency signal to a receiving device.

A method for random access communication, comprising:

• receiving, by at least one antenna of a receiving device, a plurality of radio frequency signals concurrently from a plurality of transmitting devices;
• demodulating, by a demodulation circuit of the receiving device, the received radio frequency signals into demodulated signals;
• splitting, by a splitting circuit of the receiving device, the demodulated signals into first baseband signals and second baseband signals;
• generating, by a separation circuit of the receiving device, a plurality of first estimated symbol vectors from the first baseband signals, using a rank-1 tensor structure of order d associated with each transmitting device, where d>1;
• generating, by the separation circuit, a plurality of estimated channel parameters associated with the plurality of transmitting devices and a plurality of estimated precoding matrices associated with the plurality of transmitting devices, based on the first baseband signals;
• generating, by an equalizing circuit of the receiving device, a plurality of second estimated symbol vectors from the second baseband signals, based on the plurality of estimated precoding matrices and the plurality of estimated channel parameters;
• decoding, by a decoding circuit of the receiving device, each of the first and second estimated symbol vectors to generate a plurality of decoded messages, each decoded message comprising a first sequence of bits that corresponds to a first part of data and a second sequence of bits that corresponds to a second part of data associated with a corresponding transmitting device amongst the plurality of transmitting devices.