Abstract
Transmit beamforming achieves optimal performance in systems with multiple transmit antennas and a single receive antenna from both the capacity and the received signal-to-noise ratio (SNR) perspectives but ideally requires perfect channel knowledge at the transmitter. In practical systems where the feedback link can only convey a finite number of bits, transmit beamformer designs have been extensively investigated using either the outage probability or the average SNR as the figure of merit. In this paper, we study the symbol error rate (SER) for transmit beamforming with finite-rate feedback in a multi-input single-output setting. We derive an SER lower bound that is tight for good beamformer designs. Comparing this bound with the SER corresponding to the ideal case, we quantify the power loss due to the finite-rate constraint across the entire SNR range.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1948-1957 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Wireless Communications |
| Volume | 4 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2005 |
Bibliographical note
Funding Information:Manuscript received February 11, 2004; revised May 22, 2004; accepted May 24, 2004. The editor coordinating the review of this paper and approving it for publication is T. Duman. The work of S. Zhou was supported by UConn Research Foundation Internal Grant 445157. The work of Z. Wang was supported by National Science Foundation Grant 0431092. The work of G. B. Giannakis was prepared through collaborative participation in the Communications and Networks Consortium sponsored by the U. S. Army Research Laboratory under the Collaborative Technology Alliance Program, Cooperative Agreement DAAD19-01-2-0011. Part of this work was presented at the 38th Annual Conferences on Information Sciences and Systems, Princeton, NJ, March 17–19, 2004.
Keywords
- Finite-rate feedback
- Multi-antenna systems
- Power loss
- Transmit beamforming