Channel compression for channel feedback reporting

An apparatus for wireless communication at a user equipment (UE), comprising:

• one or more processors;
• and
• instructions stored in one or more memories and executable by the one or more processors to cause the apparatus to:
• receive, from a base station, at least one reference signal over a communication channel for wireless communications between the UE and the base station;
• and
• transmit, to the base station, a message indicating a set of channel coefficients corresponding to a two-dimensional model representative of a response of the communication channel, the response of the communication channel based at least in part on the at least one reference signal received over the communication channel, wherein the two-dimensional model is a Kronecker product of a matrix representation of a spatial model and a matrix representation of a time domain response of the communication channel, wherein the spatial model is based at least in part on a set of spatial domain basis functions, wherein the set of spatial domain basis functions is based at least in part on a correlation between each antenna port pair of a set of antenna port pairs, and wherein the correlation between each antenna port pair of the set of antenna port pairs is based at least in part on the response.

An apparatus for wireless communications at a base station, comprising:

• one or more processors;
• and
• instructions stored in one or more memories and executable by the one or more processors to cause the apparatus to:
• transmit, to a user equipment (UE), at least one reference signal over a communication channel for wireless communications between the UE and the base station;
• and
• receive, from the UE, a message indicating a set of channel coefficients corresponding to a two-dimensional model representative of a response of the communication channel, wherein the two-dimensional model is a Kronecker product of a matrix representation of a spatial model and a matrix representation of a time domain response of the communication channel, wherein the spatial model is based at least in part on a set of spatial domain basis functions, wherein the set of spatial domain basis functions is based at least in part on a correlation between each antenna port pair of a set of antenna port pairs, and wherein the correlation between each antenna port pair of the set of antenna port pairs is based at least in part on the response.