Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm
SIAM Journal on Matrix Analysis and Applications
Matrix computations (3rd ed.)
MP core: algorithm and design techniques for efficient channel estimation in wireless applications
Proceedings of the 42nd annual Design Automation Conference
VLSI Architecture for Matrix Inversion using Modified Gram-Schmidt based QR Decomposition
VLSID '07 Proceedings of the 20th International Conference on VLSI Design held jointly with 6th International Conference: Embedded Systems
An FPGA Design Space Exploration Tool for Matrix Inversion Architectures
SASP '08 Proceedings of the 2008 Symposium on Application Specific Processors
Fast Design Exploration for Performance, Power and Accuracy Tradeoffs in FPGA-Based Accelerators
ACM Transactions on Reconfigurable Technology and Systems (TRETS)
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Matrix inversion is a common function found in many algorithms used in wireless communication systems. As FPGAs become an increasingly attractive platform for wireless communication, it is important to understand the trade-offs in designing a matrix inversion core on an FPGA. This article describes a matrix inversion core generator tool, GUSTO, that we developed to ease the design space exploration across different matrix inversion architectures. GUSTO is the first tool of its kind to provide automatic generation of a variety of general-purpose matrix inversion architectures with different parameterization options. GUSTO also provides an optimized application-specific architecture with an average of 59% area decrease and 3X throughput increase over its general-purpose architecture. The optimized architectures generated by GUSTO provide comparable results to published matrix inversion architecture implementations, but offer the advantage of providing the designer the ability to study the trade-offs between architectures with different design parameters.