A 'Jacobi' signal processing unit for time-adaptive SVD
E.D. Deprettere, Hylke W. van Dijk, G.J. Hekstra
Abstract
E.D. Deprettere, Hylke W. van Dijk, G.J. Hekstra
Abstract
Implementing Jacobi algorithms in parallel processor arrays is a non-trivial task, in particular when the algorithms are parameterized with respect to size and the architectures are parameterized with respect to space-time trade-offs. The objective of this paper is to demonstrate that practical, time-adaptive singular value decomposition can be implemented on a parallel processor array using Cordic arithmetic and asynchronous communication, such that any degree of parallelism, from single-processor implementation up to full-size array implementation is supported by a 'universal' processing unit. This result is the product of judicious application of transformations in the combined algorithm and architecture space.>
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Implementing Jacobi algorithms in parallel processor arrays is a non-trivial task, in particular when the algorithms are parameterized with respect to size and the architectures are parameterized with respect to space-time trade-offs. The objective of this paper is to demonstrate that practical, time-adaptive singular value decomposition can be implemented on a parallel processor array using Cordic arithmetic and asynchronous communication, such that any degree of parallelism, from single-processor implementation up to full-size array implementation is supported by a 'universal' processing unit. This result is the product of judicious application of transformations in the combined algorithm and architecture space.>
Key concepts: Computer science, Parameterized complexity, Asynchronous communication, Parallel computing, Singular value decomposition, Parallelism (grammar), Signal processing, Product (mathematics)