—An adaptive multiple input and multiple output with the code matrix index feedback [8]. One detector will (MIMO) system based on the unified belief propagation (BP) work in the LDC or codebook based schemes which also detection is proposed. A BP detector composed of a serial of support multiple rates. But in systems dealing with long space component detectors is first presented. With a unified design of time blocks, the detection complexity will become inhibitive the BP detector, a multi-rate MIMO system adaptive to channel because of the O(L3 ) complexity for a symbol block length L variations is then developed, which aims at achieving the [9].maximal throughput performance. The usage of the unified BP detector eliminates the multiple detector modules at the receiver BP principle is originated from the Bayesian networking in conventional multi-mode adaptive MIMO systems. Further, and now has been successfully used in the channel decoding the linear complexity to space time block le...