The algebraic eigenvalue problem
The algebraic eigenvalue problem
A Systolic Architecture for Fast Dense Matrix Inversion
IEEE Transactions on Computers
Multiprocessor system for high-resolution image correlation in real time
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Singular Value Decomposition on Distributed Reconfigurable Systems
RSP '01 Proceedings of the 12th International Workshop on Rapid System Prototyping
A unified algorithm for elementary functions
AFIPS '71 (Spring) Proceedings of the May 18-20, 1971, spring joint computer conference
Using PCA in time-of-flight vectors for reflector recognition and 3-D localization
IEEE Transactions on Robotics
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A hardware solution is presented to obtain the eigenvalues and eigenvectors of a real and symmetrical matrix using field-programmable gate arrays (FPGAs). Currently, this system is used to compute the eigenvalues and eigenvectors in covariance matrices for applications in digital image processing that make use of the principal component analysis (PCA) technique. The proposed solution in this paper is based on the Jacobi method, but in comparison with other related works, it presents a different architecture that remarkably improves execution time, while reducing the number of consumed resources of the FPGA.