Bi-Dimensional Beamformer Steering Matrix Alignment for Smooth MIMO Channels

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Solution Overview

Problem

The increasing complexity and processing overhead in beamforming MIMO systems with a large number of antennas lead to significant bandwidth and computational requirements for determining steering matrices, resulting in non-smooth steered channels and degraded performance.

Innovation Solution

A method for calculating a steering matrix by interpolating between feedback tones using estimated random phasors and row-dependent delays, aligning both row and column angles to ensure smoothness and reduce computational overhead.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If steering matrices are determined for each feedback tone in beamforming MIMO systems, then transmission reliability is improved, but computational overhead and bandwidth requirements increase significantly

Engineering Contradiction:
Improvetransmission reliabilityVSAvoidcomputational overhead
Core Design Contradiction:
ReliabilityVSDevice complexity

Solution Approach 1:

The patent applies preliminary action by estimating random phasors and row-dependent delays from available steering matrices before interpolation is needed. This pre-estimation allows the system to prepare alignment parameters in advance, reducing real-time computational overhead while maintaining transmission reliability through smooth channel steering.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses copying by creating an ideal second steering matrix through interpolation between actual feedback tone steering matrices. The interpolated steering matrices replicate the essential channel characteristics without requiring direct measurement at every tone, reducing feedback requirements while preserving transmission reliability.

Inventive Principle:
Principle #26Copying

2Measurement precision

If steering matrices are determined for each feedback tone, then channel accuracy is improved, but bandwidth requirements increase

Engineering Contradiction:
Improvechannel accuracyVSAvoidbandwidth requirements
Core Design Contradiction:
Measurement precisionVSQuantity of substance

Solution Approach 1:

The patent performs preliminary estimation of random phasors and delays using existing feedback tone data before interpolation is required. This advance preparation reduces the bandwidth needed for feedback, as only essential alignment parameters need to be transmitted rather than complete steering matrices for every tone.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent creates interpolated steering matrices that copy the essential channel characteristics from measured feedback tones. This approach maintains channel accuracy by preserving key phase and amplitude relationships while reducing feedback bandwidth requirements through mathematical interpolation rather than direct measurement at all tones.

Inventive Principle:
Principle #26Copying

3Productivity

If steering matrices are interpolated between feedback tones, then computational overhead is reduced, but channel smoothness may be degraded

Engineering Contradiction:
Improvecomputational efficiencyVSAvoidchannel smoothness
Core Design Contradiction:
ProductivityVSStability of the object's composition

Solution Approach 1:

The patent applies preliminary action by pre-estimating random phasors and row-dependent delays that cause channel discontinuities. By calculating these alignment parameters in advance, the system can apply corrections during interpolation to maintain channel smoothness while benefiting from reduced real-time computational overhead.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent uses random phasor estimation and row-dependent delay compensation as intermediary steps between measured steering matrices and final interpolated results. These intermediaries correct phase discontinuities and alignment issues that would otherwise degrade channel smoothness, enabling accurate interpolation with reduced computational burden.

Inventive Principle:
Principle #24Intermediary (Mediator)

4Stability of the object's composition

If row and column angles are aligned in steering matrices, then channel discontinuities are reduced, but processing complexity increases

Engineering Contradiction:
Improvechannel smoothnessVSAvoidprocessing complexity
Core Design Contradiction:
Stability of the object's compositionVSDevice complexity

Solution Approach 1:

The patent performs preliminary alignment of row and column angles by estimating random phasors and delays before interpolation. This pre-alignment reduces the complexity of subsequent processing by eliminating the need for complex real-time angle adjustments, as the steering matrices are pre-conditioned for smooth interpolation.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent introduces random phasor estimation and delay compensation as intermediary processing steps that simplify the overall angle alignment task. By separating the alignment into distinct estimation and compensation phases, the system reduces processing complexity compared to performing full angle alignment simultaneously during interpolation.

Inventive Principle:
Principle #24Intermediary (Mediator)

Data Source

PatentUS12362795B2Bi-dimensional steering matrix alignment at beamformer
Publication Date: 2025.07.15 NXP USA INC
  • US12362795B2 patent drawing
  • US12362795B2 patent drawing
  • US12362795B2 patent drawing

AI summary

A transmitter, including: a plurality of antennas; and a controller configured to: receive a first steering matrix for a first feedback tone; receive a second steering matrix for a second feedback tone; estimate an ideal second steering matrix including: estimating a set of random phasors applied to the columns of the second feedback matrix; and estimating a set of row-dependent delays applied to the rows of the second feedback matrix; estimate a vector of angles based upon the estimated set of random phasors; and calculate a steering matrix for a tone between the first feedback tone and the second feedback tone by interpolating between the first steering matrix and the ideal second steering matrix based upon the estimated vector of angles.