Computer Science – Information Theory
Scientific paper
2011-04-04
Computer Science
Information Theory
Improved the organization over version 1
Scientific paper
In the landmark paper by Hassibi and Hochwald, it is claimed without proof that the upper triangular matrix R encountered during the sphere decoding of any linear dispersion code is full-ranked whenever the rate of the code is less than the minimum of the number of transmit and receive antennas. In this paper, we show that this claim is true only when the number of receive antennas is at least as much as the number of transmit antennas. We also show that all known families of high rate (rate greater than 1 complex symbol per channel use) multigroup ML decodable codes have rank-deficient R matrix even when the criterion on rate is satisfied, and that this rank-deficiency problem arises only in asymmetric MIMO with number of receive antennas less than the number of transmit antennas. Unlike the codes with full-rank R matrix, the average sphere decoding complexity of the STBCs whose R matrix is rank-deficient is polynomial in the constellation size. We derive the sphere decoding complexity of most of the known high rate multigroup ML decodable codes, and show that for each code, the complexity is a decreasing function of the number of receive antennas.
Natarajan Lakshmi Prasad
Rajan Sundar B.
Srinath Pavan K.
No associations
LandOfFree
On the Sphere Decoding Complexity of STBCs for Asymmetric MIMO Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Sphere Decoding Complexity of STBCs for Asymmetric MIMO Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Sphere Decoding Complexity of STBCs for Asymmetric MIMO Systems will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-318431