Approximate Analysis of Power Offset over Spatially Correlated MIMO Channels
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Abstract
Power offset is zero-order term in the capacity versus signal-to-noise ratio curve. In this paper, approximate analysis of power offset is presented to describe MIMO system with uniform linear antenna arrays of fixed length. It is assumed that the number of receive antenna is larger than that of transmit antenna. Spatially Correlated MIMO Channel is approximated by tri-diagonal toeplitz matrix. The determinant of tri-diagonal toeplitz matrix, which is fitted by elementary curve, is one of the key factors related to power offset. Based on the curve fitting, the determinant of tri-diagonal toeplitz matrix is mathematically tractable. Consequently, the expression of local extreme points can be derived to optimize power offset. The simulation results show that approximation above is accurate in local extreme points of power offset. The proposed expression of local extreme points is helpful to approach optimal power offset.
- TAROKH V, JAFARKHANI H, CALDERBANK A R. Space-time block code from orthogonal designs. IEEE Transactions on Information Theory, Jul. 1999, 45(5): 1456-1467.
- BOUBAKER N, LETAIEF K B, MURCH R D. Performance of BLAST over frequency-selective wireless communication channles. IEEE Transactions on Communication, Feb. 2002, 50(2): 196-199.
- LOZANO A, PAPADIAS C. Layered space-time receivers for frequency-selective wireless channels. IEEE Transactions on Communication, Jan. 2002, 50(1): 65-73.
- BAKIR L, FROLIK J. Diversity gains in two-ray fading channels. IEEE Transactions on Wireless Communications, Feb. 2009, 8(2): 968-977.
- POON A, BRODERSEN R, TSE D. N. C. Degrees of freedom in multiple-antenna channels: A signal space approach. IEEE Transactions on Information Theory, Feb. 2006, 51(2): 523-536.
- JAFAR S A, SHAMAI S. Degrees of freedom region of the MIMO X channel. IEEE Transactions on Information Theory, Jan. 2008, 54(1): 151-170.
- JINDAL N. High SNR analysis of MIMO broadcast channels. ISIT’05, 2005, 2310-2314.
- TULINO A M, LOZANO A, VERDU S. High-SNR power offset in multi-antenna Ricean channels. ICC’05, 2005, 683-687.
- LOZANO A, TULINO A M, VERDU S. High-SNR power offset in multi-antenna communication. IEEE Transactions on Information Theory, Dec. 2005, 51(12): 4134-4151.
- LEE J, JINDAL N. High SNR analysis for MIMO broadcast channels: Dirty paper coding versus linear precoding. IEEE Transactions on Information Theory, Dec. 2007, 53(12): 4787-4792.
- ZHENG L Z, TSE D N C. Diversity and multiplexing: A fundamental tradeoff in multiple-antenna channels. IEEE Transactions on Information Theory, May 2003, 49(5): 1073-1096.
- TSE D N C, VISWANATH P, ZHENG L Z. Diversity multiplexing tradeoff in multiple-access channels. IEEE Transactions on Information Theory, Sep. 2004, 50(9): 1859-1874.
- WAGNER J, LIANG Y C, ZHANG R. On the balance of multiuser diversity and spatial multiplexing gain in random beamforming. IEEE Transactions on Wireless Communication, Jul. 2008, 7(7): 2512-2525.
- SHIU D, FOSCHINI G J, GANS M J, ET AL. Fading correlation and its effect on the capacity of multielement antenna system. IEEE Transactions on Communication, Mar. 2000, 48(3): 502-513.
- ABDI A, KAVEH M. A space-time correlation model for multielement antenna systems in mobile fading channels. IEEE J. Select. Areas Communication, Apr. 2002, 20: 550-560.