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Cited by 906

The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.

On beamforming with finite rate feedback in multiple-antenna systems

Kiran Mukkavilli, K., Sabharwal, A., Erkip, E., Aazhang, B.·2003·IEEE Transactions on Information Theory
DOI 10.1109/tit.2003.817433
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Abstract

We study a multiple-antenna system where the transmitter is equipped with quantized information about instantaneous channel realizations. Assuming that the transmitter uses the quantized information for beamforming, we derive a universal lower bound on the outage probability for any finite set of beamformers. The universal lower bound provides a concise characterization of the gain with each additional bit of feedback information regarding the channel. Using the bound, it is shown that finite information systems approach the perfect information case as (t-1)2/sup -B/t-1/, where B is the number of feedback bits and t is the number of transmit antennas. The geometrical bounding technique, used in the proof of the lower bound, also leads to a design criterion for good beamformers, whose outage performance approaches the lower bound. The design criterion minimizes the maximum inner product between any two beamforming vectors in the beamformer codebook, and is equivalent to the problem of designing unitary space-time codes under certain conditions. Finally, we show that good beamformers are good packings of two-dimensional subspaces in a 2t-dimensional real Grassmannian manifold with chordal distance as the metric.

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Metadata

Authors
Kiran Mukkavilli, K., Sabharwal, A., Erkip, E., & Aazhang, B.
Venue
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2003-10
Volume
49
Issue
10
Pages
2562-2579
ISSN
0018-9448 (ISSN-L)
DOI
10.1109/tit.2003.817433
OpenAlex
W2130521103
Cited by
906
References
16
FWCI
52.96
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On beamforming with finite rate feedback in multiple-antenna systems. https://app.cochat.ai/papers/10.1109/tit.2003.817433
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Kiran Mukkavilli, K., Sabharwal, A., Erkip, E., & Aazhang, B. (2003). On beamforming with finite rate feedback in multiple-antenna systems. IEEE Transactions on Information Theory. https://doi.org/10.1109/tit.2003.817433

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