%0 Electronic Article
%A Marek Parfieniuk
%+ Department of Digital Media and Computer Graphics, Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, Bialystok 15-351, Poland
%A Maxim Vashkevich
%+ Department of Computer Engineering, The Belarusian State University of Informatics and Radioelectronics, P. Brovky 6, Minsk 220027, Belarus
%A Alexander Petrovsky
%+ Department of Digital Media and Computer Graphics, Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, Bialystok 15-351, Poland
%K CORDIC circuits
%K hardware design experiments
%K Loeffler algorithm
%K structurally orthogonal scaled CORDIC-based approximations
%K software JPEG codec
%K multiplierless transforms
%K coordinate rotation digital computer
%K lifting-based BinDCT schemes
%K field programmable gate array
%K short-critical-path
%K eight-point discrete cosine transform
%X A family of multiplierless transforms is presented that approximate the eight-point type-II discrete cosine transform (DCT) as accurately as the state-of-the-art scaled DCT schemes, but having 14–17% shorter critical paths (1/6 or 1/7 less adders). Compared to the existing solutions that use the coordinate rotation digital computer (CORDIC) algorithm, the advantage of higher throughput is accompanied by saving additions. Only some lifting-based BinDCT schemes require less adders in total, in spite of longer critical paths. The transforms have been derived from the fast Loeffler's algorithm by replacing the rotation stage with unfolded CORDIC iterations, which have been arranged so that two rotation approximations use the same scaling. This is equivalent to imposing structural orthogonality (losslessness) on a system, from which the scaling can then be extracted so as to shorten the critical path. Supporting ideas are a notation for more conveniently describing CORDIC circuits, and an angle conversion that allows rotations to be approximated using an extended set of CORDIC circuits. The research results have been validated by field programmable gate array-based hardware design experiments and by usability tests based on a software JPEG codec.
%@ 1751-858X
%T Short-critical-path and structurally orthogonal scaled CORDIC-based approximations of the eight-point discrete cosine transform
%B IET Circuits, Devices & Systems
%D May 2013
%V 7
%N 3
%P 150-158
%I Institution of Engineering and Technology
%U https://digital-library.theiet.org/;jsessionid=bbkfjklaehb5d.x-iet-live-01content/journals/10.1049/iet-cds.2012.0233
%G EN