A method, a computer-readable medium, and an apparatus are provided for wireless communication at a receiver. The apparatus is configured to receive a non- coherent signal and determine a first differential of the received non-coherent signal on each of one or more receive antennas for a set of binary vectors to obtain a lower order representation of the non-coherent signal. The apparatus is configured to combine the differentials across antennas, decode the lower order representation of the non-coherent signal based on the first differential of the non-coherent signal and to reconstruct a higher order representation of the non-coherent signal based on the decoded lower order representation of the non-coherent signal.