Multi-Beam Forming Using Geometric Mean Decomposition
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing multi-beam forming techniques using SVD decomposition lead to performance degradation due to ill-conditioned channels, causing interference in searching the perturbation vector and resulting in high bit error rates and unequal channel gains.
Innovation Solution
The method employs Geometric Mean Decomposition (GMD) to decompose the channel matrix into sub channels with equal diagonal elements, using the resulting unitary matrix as a weight for beam forming to ensure equal gains across all sub channels, thereby avoiding performance degradation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If SVD decomposition is used to decompose MIMO channel into multiple sub channels, then channel capacity is increased, but sub channels have different channel gains leading to high bit error rate
Solution Approach 1:
The patent transforms the channel decomposition approach from SVD to GMD, changing the mathematical parameters and decomposition characteristics. GMD produces subchannels with equal diagonal elements in the decomposition matrix, ensuring uniform channel gains across all subchannels, which directly addresses the bit error rate issue while maintaining channel capacity
2Device complexity
If SVD decomposition is applied to decompose channel matrix, then parallel independent sub channels are obtained, but ill-conditioned channels cause interference in perturbation vector searching
Solution Approach 1:
The patent changes the decomposition method from SVD to GMD, which produces a different parameter structure where the decomposition matrix has equal diagonal elements. This parameter change ensures that ill-conditioned channels do not cause performance degradation, as the equal gain structure prevents the interference issues that arise in SVD-based approaches
3Productivity
If water-filling algorithm is used to allocate power in MIMO system, then maximum channel capacity is achieved, but unequal channel gains cause performance degradation
Solution Approach 1:
The patent changes the fundamental parameter structure of channel decomposition from SVD to GMD. By using GMD, the channel is decomposed into subchannels with equal diagonal elements, creating equal channel gains. This eliminates the need for water-filling power allocation and prevents the performance degradation caused by unequal gains, while still achieving maximum channel capacity
Data Source
AI summary
A method for multi-beam forming based on joint receiving and transmitting end information is provided. The method includes: a transmitting end decomposing a channel matrix H using a geometric mean decomposition (GMD) way to obtain a unitary matrix P; the transmitting end using the unitary matrix P as a weight matrix of GMD beam forming and executing multi-beam forming processing on an original transmission signal x. The present invention also provides a system for multi-beam forming based on joint receiving and transmitting end information, and a transmitting device and receiving device for supporting multi-beam forming based on joint receiving and transmitting end information. By using geometric mean decomposition way to decompose the channel matrix H, the sub channels corresponding to various beams obtain the equal gain. When the channel is ill-conditioned, the channel equalization will not interfere with searching the perturbation vector, thereby avoiding the performance degradation.