Orthogonal beamforming using Gram-Schmidt orthogonalization for multi-user MIMO downlink system

Experiments on Gram-schmidt Orthogonalization

(3) In addition to solutions for | k | ^ 9999, we have solutions, for y ^ 104 and | k | g 99999; there are 1221 for positive k and 799 for negative k. The vast majority of solutions are with y < 100 and Table 2 gives the number of solutions for various ranges of y. The fact that the number of solutions is a rapidly decreasing function of y suggests that for at least some k the solution set may ...

Downlink Transmit Beamforming for Multiuser - MIMO System

In multiuser multiple input multiple output (MUMIMO) downlink, the presence of multiuser cause the co-channel interference (CCI). The co-channel interference should be suppressed at the transmitter by the space precoding. Precoding is required to overcome it. The specifically challenge is to design transmit beamforming vectors for each user. Signal to leakage plus noise ratio (SLNR) method is o...

Gram – Schmidt Orthogonalization on Encrypted Vectors

In this paper we address a privacy preserving version of the well known Gram – Schmidt Orthogonalization procedure. Specifically, we propose a building block for secure multiparty computation, that is able to orthogonalize a set of componentwise encrypted vectors. Our setting is the following: Bob needs to compute this orthogonalization on some vectors encrypted with the public key of Alice. He...

Multiple Description Quantization via Gram-Schmidt Orthogonalization

The multiple description (MD) problem has received considerable attention as a model of information transmission over unreliable channels. A general framework for designing efficient multiple description quantization schemes is proposed in this paper. We provide a systematic treatment of the El Gamal-Cover (EGC) achievable MD rate-distortion region, and show that any point in the EGC region can...

Gram-Schmidt orthogonalization: 100 years and more