An exemplary wireless communication network that includes a base that communicates with remote units located in a cell of the network. The base concatenates information symbols with a preamble corresponding to a destination remote unit. One or more remote units communicating with the base each concatenates information symbols with a preamble corresponding to that remote unit. An adaptive receiver system for a base unit rapidly adapts optimal despreading weights for reproducing information symbols transmitted from multiple remote units. A transmitter system for a base unit concatenates information symbols with a preamble associated with a remote unit in the cell. An adaptive receiver system for a remote unit in a communication network rapidly adapts optimal weights for reproducing a signal transmitted to it by a specific base unit in the network.

The subject matter described herein includes a method for simplified computation of metrics of cross-correlations of binary codes and for using the metrics for signal processing applications. The method includes computing an outer product matrix based on a first code vector. The method further includes computing an outer product matrix based on at least one second code vector. The method further includes computing a metric of cross-correlations between the first code and the at least one second code vector using the outer product matrices. The method further includes using the metric to perform a signal processing operation.

In one embodiment, a method for blindly detecting low density activity includes receiving, by a first node from a second node, a signal and executing a joint message passing algorithm (JMPA) on the signal, where executing the JMPA includes jointly producing a decoded signal and an activity list in accordance with the decoded signal, and calculating a plurality of a priori probabilities in accordance with a plurality of log likelihood ratios (LLRs) corresponding to the signal and a plurality of decoded LLRs.