Training in communication systems

An apparatus comprising:

• at least one processor;
• and
• at least one non-transitory memory storing instructions that, when executed with the at least one processor, cause the apparatus to perform:
• transmitting signals from one of a plurality of transmitters of a transmission system to a receiver of the transmissions system, wherein the plurality of transmitters communicates with the receiver over one of a plurality of channels of the transmission system, wherein the transmitter includes a transmitter algorithm having at least some trainable weights, wherein the transmitter has the same trainable weights and wherein the transmitted signals are based on a perturbed channel symbol generated at the respective transmitter, wherein the channel symbols and perturbations are known to the receiver;
• and
• receiving updated weights of said transmitter algorithm from the receiver, wherein said weights are updated at the receiver based on a loss function.

An apparatus, comprising:

• at least one processor;
• and
• at least one non-transitory memory storing instructions that, when executed with the at least one processor, cause the apparatus to perform:
• transmitting signals from one or more of the plurality of transmitters to the receiver, wherein the plurality of transmitters communicates with the receiver over one of the plurality of channels, wherein the transmitter includes a transmitter algorithm including transmitter parameters having at least some trainable weights, wherein the transmitter has the same trainable weights and wherein the transmitted signals are based on a perturbed channel symbol generated at the respective transmitter, wherein the channel symbols and perturbations are known to the receiver;
• receiving the transmitted signals at the receiver of the transmissions system;
• updating said weights of said transmitter algorithm, at the receiver, based on a loss function;
• providing said updated weights to the transmitter of the transmission system;
• and
• repeating the receiving and updating until a first condition is reached.

A method comprising:

• receiving, at a receiver of a transmissions system, transmitted signals from a plurality of transmitters, wherein the transmitter communicates with the receiver over one of a plurality of channels of the transmission system, wherein the transmitter includes a transmitter algorithm having at least some trainable weights, wherein the transmitter algorithm has the same trainable weights and wherein the transmitted signals are based on a perturbed channel symbol generated at the respective transmitter, wherein the channel symbols and perturbations are known to the receiver;
• updating said weights of said transmitter algorithm, at the receiver, based on a loss function;
• providing said updated weights to the transmitter of the transmission system;
• and
• repeating the receiving and updating until a first condition is reached.