Efficient CORDIC-Based Processing Elements in Scalable Complex Matrix Inversion

Huan HE  Feng YU  Bei ZHAO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E97-A   No.5   pp.1144-1148
Publication Date: 2014/05/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E97.A.1144
Type of Manuscript: LETTER
Category: Algorithms and Data Structures
Keyword: 
processing element,  CORDIC,  angle recoding,  scalable,  complex matrix inversion,  

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Summary: 
In this paper we apply angle recoding to the CORDIC-based processing elements in a scalable architecture for complex matrix inversion. We extend the processing elements from the scalable real matrix inversion architecture to the complex domain and obtain the novel scalable complex matrix inversion architecture, which can significantly reduce computational complexity. We rearrange the CORDIC elements to make one half of the processing elements simple and compact. For the other half of the processing elements, the efficient use of angler recoding reduces the number of microrotation steps of the CORDIC elements to 3/4. Consequently, only 3 CORDIC elements are required for the processing elements with full utilization.