Apparatuses, systems, and techniques to perform signal processing operations in a fifth generation (5G) radio signal. In at least one embodiment, one or more processors equalize, in parallel, one or more 5G radio signals.

A processor-implemented method includes receiving a signal representing a first encoded data and calculating an estimated timing offset and/or an estimated frequency offset associated with the signal. A correction of at least one of a timing offset or a frequency offset of the signal is performed based on the estimated timing offset and/or the estimated frequency offset, to produce a modified signal. An effective channel is subsequently detected based on the signal or the modified signal. A second encoded data is generated based on the modified signal, a known vector, at least one left singular vector of the effective channel, and at least one right singular vector of the effective channel. A signal representing the second encoded data is transmitted to a communication device for identification of contents of a message at a different processor.

A method includes receiving at a receiver circuit a composite signal including non-interfered data resource elements and interfered data resource elements from a plurality of radio cells, and determining a first mutual information metric based on the non-interfered data resource elements. The method further includes determining a second mutual information metric based on the interfered data resource elements, and determining effective mutual information based on a combination of the first mutual information metric and the second mutual information metric.

Systems, methods, and instrumentalities are described herein in association with group sparsity and implicit regularization for MIMO channel estimation. For example, a channel matrix (e.g., MIMO channel matrix) may have a group sparse property. The group sparse property may be used in channel estimation applications. For example, the group sparse property in MIMO channel matrices may be used with non-convex operations to perform matrix completion. Matrix completion may be performed to determine an unknown channel matrix, for example, using limited entries (e.g., noisy entries).

Apparatuses, systems, and techniques to perform signal processing operations in a fifth generation (5G) radio signal. In at least one embodiment, one or more processors equalize, in parallel, one or more 5G radio signals.