Closed Form Singular Value Decomposition for MIMO Feedback
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Solution Overview
Problem
In wireless communications, the computationally intensive and iterative nature of singular value decomposition (SVD) in MIMO systems poses challenges for efficient signal processing, particularly in wireless devices, which can lead to complex and resource-intensive operations at both the transmitter and receiver.
Innovation Solution
Implementing a closed-form SVD method that allows for the determination of singular vectors, providing feedback from client stations to base stations, and using these vectors for precoding in MIMO transmissions, along with aligning phase and determining average singular vectors to optimize MIMO operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If traditional iterative singular value decomposition is used in MIMO systems, then accurate singular vectors can be obtained for precoding, but computational complexity and processing time increase significantly
Solution Approach 1:
The patent transforms the iterative SVD computation into a closed-form solution by changing the mathematical approach from iterative approximation to direct calculation using matrix operations. This involves computing the correlation matrix and using eigenvalue decomposition to obtain singular vectors directly, avoiding the iterative process while maintaining accuracy for precoding operations in MIMO systems
Solution Approach 2:
The patent replaces the iterative computational mechanism with a closed-form mathematical solution. Instead of using iterative algorithms that require multiple passes and convergence checks, the invention uses direct matrix operations and eigenvalue decomposition to compute singular vectors in a single computational step, significantly reducing processing complexity
2Productivity
If MIMO transmission with singular value decomposition is implemented, then throughput and range are enhanced, but processing complexity at transmitter and receiver increases
Solution Approach 1:
The patent changes the computational parameters by replacing iterative SVD with closed-form solutions at both transmitter and receiver. This allows MIMO throughput enhancement to be maintained while reducing the processing complexity burden on wireless devices through more efficient mathematical computations
3Reliability
If iterative singular value decomposition is used in wireless devices, then singular vectors can be determined for precoding, but processing time and resource consumption increase
Solution Approach 1:
The patent transforms the time-consuming iterative SVD process into a closed-form calculation that determines singular vectors for precoding in a single computational pass. This maintains the reliability needed for accurate precoding while significantly reducing the processing time and resource consumption in wireless devices
Data Source
AI summary
The subject matter disclosed herein provides methods and apparatus for determining a singular value decomposition, providing feedback from a client station to a base station, and closed loop operation of a wireless system implementing multiple-input multiple-output (MIMO). The method may include determining one or more singular vectors using a closed form singular value decomposition. The one or more determined singular vectors may be provided to a precoder at the base station as feedback. The method may include aligning a phase of one or more singular vectors. The method may also include determining, at a client station, a plurality of singular vectors for channels used in a MIMO transmission from a base station to a client station. The client station may provide an indication to the base station regarding whether to use a singular value decomposition or a uniform channel decomposition. Related systems, apparatus, methods, and/or articles are also described.