Abstract

Design strategies for parallel iterative algorithms are presented. In order to further study different tradeoff strategies in design criteria for integrated circuits, A 10 × 10 Jacobi Brent-Luk-EVD array with the simplified μ-CORDIC processor is used as an example. The experimental results show that using the μ-CORDIC processor is beneficial for the design criteria as it yields a smaller area, faster overall computation time, and less energy consumption than the regular CORDIC processor. It is worth to notice that the proposed parallel EVD method can be applied to real-time and low-power array signal processing algorithms performing beamforming or DOA estimation.

Highlights

  • We are on the edge of many important developments which will require parallel data and information processing

  • In order to further study different tradeoff strategies in design criteria for integrated circuits, A 10 × 10 Jacobi Brent-Luk-eigenvalue decomposition (EVD) array with the simplified μ-CORDIC processor is used as an example

  • The experimental results show that using the μ-CORDIC processor is beneficial for the design criteria as it yields a smaller area, faster overall computation time, and less energy consumption than the regular CORDIC processor

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Summary

Introduction

We are on the edge of many important developments which will require parallel data and information processing. Parallel VLSI architectures will be needed in order to provide the required computational power for 10 GHz and above, massive MIMO, and big data processing [1, 2]. In parallel matrix computation at the circuit level, implementing an iterative algorithm on a multiprocessor array results in a tradeoff between the complexity of an iteration step and the number of required iteration steps. A Jacobi EVD array is realized by implementing a scaling-free microrotation CORDIC (μ-CORDIC) processor in this paper, which only performs a predefined number of CORDIC iterations. Each PE holds a 2 × 2 submatrix of A: PE 21 PE 22 PE 23 PE 24 PE 31 PE 32 PE 33 PE 34 PE 41 PE 42 PE 43 PE 44

Parallel Eigenvalue Decomposition
CORDIC Approach
Experimental Results
Conclusions
Conflict of Interests
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