A joint detection system and associated methods are provided. A joint detection system is configured to perform joint detection of received signals. The joint detection system includes a joint detector accelerator configured to perform an operation of the joint detection of the received signals, wherein the joint detection includes computing joint detection variables. The operation includes a multiply and accumulate operation resulting in a value in an accumulator, and the value in the accumulator includes a plurality of bits. The joint detector accelerator is configured to select a subset of bits of the plurality of bits of the value in the accumulator, where the subset of bits selected is configurable. The joint detector accelerator is further configured to store the subset of bits into a memory as a fixed point representation.