A joint detection system is configured to perform joint detection of received signals and includes a joint detection accelerator and a host processor. The joint detection accelerator may include a memory unit to store input data values, intermediate results and output data values; one or more computation units to process the input data values and the intermediate results, and to provide output data values to the memory unit; a controller to control the memory and the one or more computation units to perform joint detection processing; and an external interface to receive the input data values from the host processor and to provide output data values to the host processor. The computation units may include a complex multiply accumulate unit, a simplified complex multiply accumulate unit and a normalized floating point divider. The memory unit may include an input memory, a matrix memory, a main memory and an output memory.