MIMO transceiver design using geometric mean decomposition

We present a multi-input multi-output (MIMO) transceiver design that combines the geometric mean decomposition (GMD) with either the conventional zero-forcing VBLAST decoder (ZF-VBLAST), or the zero-forcing dirty paper precoder (ZF-DP). Our approach decomposes a MIMO channel into multiple identical subchannels, which obviates the need of bit allocation and simplifies the design of modulation/demodulation and coding/decoding schemes. Moreover, we prove that our scheme is asymptotically optimal for high signal-to-noise ratio (SNR) in terms of both the channel throughput and the bit-error-rate (BER) performance.