Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channel

@article{citeulike:2902321, abstract = {We study the capacity of multiple-antenna fading channels. We focus on the scenario where the fading coefficients vary quickly; thus an accurate estimation of the coefficients is generally not available to either the transmitter or the receiver. We use a noncoherent block fading model proposed by Marzetta and Hochwald (see ibid. vol.45, p.139-57, 1999). The model does not assume any channel side information at the receiver or at the transmitter, but assumes that the coefficients remain constant for a coherence interval of length T symbol periods. We compute the asymptotic capacity of this channel at high signal-to-noise ratio (SNR) in terms of the coherence time T, the number of transmit antennas M, and the number of receive antennas N. While the capacity gain of the coherent multiple antenna channel is min{M, N} bits per second per Hertz for every 3-dB increase in SNR, the corresponding gain for the noncoherent channel turns out to be M* (1 - M*/T) bits per second per Hertz, where M*=min{M, N, [T/2]}. The capacity expression has a geometric interpretation as sphere packing in the Grassmann manifold}, author = {Zheng, Lizhong and Tse, D. N. C. }, booktitle = {Information Theory, IEEE Transactions on}, citeulike-article-id = {2902321}, doi = {http://dx.doi.org/10.1109/18.978730}, journal = {Information Theory, IEEE Transactions on}, keywords = {interleaving, noncoherent}, number = {2}, pages = {359--383}, posted-at = {2008-06-17 13:25:26}, priority = {3}, title = {Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channel}, url = {http://dx.doi.org/10.1109/18.978730}, volume = {48}, year = {2002} }

TY - JOUR ID - citeulike:2902321 L3 - citeulike-article-id:2902321 TI - Communication on the Grassmann manifold: a geometric approach to the noncoherent multiple-antenna channel T2 - Information Theory, IEEE Transactions on JF - Information Theory, IEEE Transactions on VL - 48 IS - 2 SP - 359 EP - 383 N2 - We study the capacity of multiple-antenna fading channels. We focus on the scenario where the fading coefficients vary quickly; thus an accurate estimation of the coefficients is generally not available to either the transmitter or the receiver. We use a noncoherent block fading model proposed by Marzetta and Hochwald (see ibid. vol.45, p.139-57, 1999). The model does not assume any channel side information at the receiver or at the transmitter, but assumes that the coefficients remain constant for a coherence interval of length T symbol periods. We compute the asymptotic capacity of this channel at high signal-to-noise ratio (SNR) in terms of the coherence time T, the number of transmit antennas M, and the number of receive antennas N. While the capacity gain of the coherent multiple antenna channel is min{M, N} bits per second per Hertz for every 3-dB increase in SNR, the corresponding gain for the noncoherent channel turns out to be M* (1 - M*/T) bits per second per Hertz, where M*=min{M, N, [T/2]}. The capacity expression has a geometric interpretation as sphere packing in the Grassmann manifold KW - interleaving KW - noncoherent AU - Zheng, Lizhong AU - Tse, DNC PY - 2002/// UR - http://dx.doi.org/10.1109/18.978730 ER -