Diagonal Beamforming Matrix Reduces Feedback Overhead

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Solution Overview

Problem

Conventional beamforming techniques, such as those using singular value decomposition (SVD), require significant feedback information and introduce power fluctuations among transmit antennas, which can be inefficient and impractical in certain wireless communication systems.

Innovation Solution

Implementing a beamforming system that employs a diagonal matrix with constant magnitude elements, reducing feedback requirements and minimizing power fluctuations by using a diagonal beamforming matrix and a stream-to-transmit mapping matrix with equal magnitude elements, thereby optimizing transmit power distribution.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If conventional SVD beamforming techniques are used, then beamforming performance is improved, but feedback information requirements increase significantly

Engineering Contradiction:
Improvebeamforming performanceVSAvoidfeedback information
Core Design Contradiction:
ReliabilityVSLoss of information

Solution Approach 1:

The patent extracts only the essential feedback information needed for beamforming by using a diagonal matrix representation. Instead of feeding back the complete channel state information required by SVD, the system extracts and feeds back only the diagonal elements (eigenvalues) of the channel correlation matrix, significantly reducing feedback overhead while maintaining beamforming performance.

Inventive Principle:
Principle #2Taking out (Extraction)

Solution Approach 2:

The patent changes the parameter representation from full channel state information to a simplified diagonal matrix form. By transforming the beamforming problem into selecting optimal diagonal elements based on channel statistics rather than instantaneous channel state, the system reduces the information dimensionality and feedback requirements.

Inventive Principle:
Principle #35Parameter changes

2Reliability

If conventional SVD beamforming techniques are used, then beamforming capability is enhanced, but power fluctuations among transmit antennas occur

Engineering Contradiction:
Improvebeamforming capabilityVSAvoidtransmit power distribution
Core Design Contradiction:
ReliabilityVSStability of the object's composition

Solution Approach 1:

The patent applies local quality by allowing different power levels only on the diagonal elements (individual antenna channels) while maintaining equal power distribution across all transmit antennas through the off-diagonal zeros. This localized differentiation enables beamforming gain while preserving overall power stability and satisfying per-antenna power constraints.

Inventive Principle:
Principle #3Local quality

Solution Approach 2:

The patent enforces equipotentiality by setting all off-diagonal elements to zero and using a diagonal beamforming matrix, which ensures equal power distribution across transmit antennas. This creates a balanced power state that prevents power fluctuations while still enabling directional beamforming through selective diagonal element adjustment.

Inventive Principle:
Principle #12Equipotentiality

3Loss of information

If a diagonal beamforming matrix with constant magnitude elements is used, then feedback requirements are reduced, but beamforming precision may be compromised

Engineering Contradiction:
Improvefeedback information bitsVSAvoidbeamforming precision
Core Design Contradiction:
Loss of informationVSMeasurement precision

Solution Approach 1:

The patent applies partial action by using only the diagonal elements of the channel correlation matrix for beamforming decisions, ignoring the off-diagonal elements. This partial utilization of channel information reduces feedback requirements while maintaining sufficient beamforming precision for practical applications, accepting a trade-off that favors reduced complexity.

Inventive Principle:
Principle #16Partial or excessive action

Data Source

PatentUS9712215B1System and method of beamforming with reduced feedback
Publication Date: 2017.07.18 NXP USA INC
  • US9712215B1 patent drawing
  • US9712215B1 patent drawing
  • US9712215B1 patent drawing

AI summary

A system and method of beamforming may reduce feedback requirements. In some implementations, a beamforming technique may employ a diagonal matrix as a beamforming matrix. In some antenna phase beamforming strategies, a diagonal beamforming matrix in which the diagonal elements have a constant magnitude may be employed. Accordingly, a beamforming system may be utilized with few feedback information bits being transmitted from the beamformee; such a system may also minimize or eliminate power fluctuations among multiple transmit antennae.