{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,1,11]],"date-time":"2024-01-11T23:59:26Z","timestamp":1705017566666},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J CIRCUIT SYST COMP"],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p> Two-Dimensional Wavelet Transforms have proven to be highly effective tools for image analysis. In this paper, we present a VLSI implementation of four- and six-coefficient Daubechies Wavelet Transforms using an algebraic integer encoding representation for the coefficients. The Daubechies filters (DAUB4 and DAUB6) provide excellent spatial and spectral locality, properties which make it useful in image compression. In our algorithm, the algebraic integer representation of the wavelet coefficients provides error-free calculations until the final reconstruction step. This also makes the VLSI architecture simple, multiplication-free and inherently parallel. Compared to other DWT algorithms found in the literature, such as embedded zero-tree, recursive or semi-recursive, linear systolic arrays and conventional fixed-point binary architectures, it has reduced hardware cost, lower power dissipation and optimized data-bus utilization. The architecture is also cascadable for computation of one- or multi-dimensional Daubechies Discrete Wavelet Transforms. <\/jats:p>","DOI":"10.1142\/s0218126604001982","type":"journal-article","created":{"date-parts":[[2005,5,18]],"date-time":"2005-05-18T08:08:47Z","timestamp":1116403727000},"page":"1251-1270","source":"Crossref","is-referenced-by-count":16,"title":["VLSI ARCHITECTURES OF DAUBECHIES WAVELET TRANSFORMS USING ALGEBRAIC INTEGERS"],"prefix":"10.1142","volume":"13","author":[{"given":"KHAN","family":"WAHID","sequence":"first","affiliation":[{"name":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"VASSIL","family":"DIMITROV","sequence":"additional","affiliation":[{"name":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GRAHAM","family":"JULLIEN","sequence":"additional","affiliation":[{"name":"ATIPS Laboratory, Department of Electrical and Computer Engineering, University of Calgary, 2500 University Dr. NW, Calgary, Alberta, Canada, T2N 1N4, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1109\/29.45554"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1109\/34.192463"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1049\/el:19900766"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1049\/el:19910110"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/92.238416"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/82.386170"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1049\/el:19980387"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(01)00105-5"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1049\/el:20030318"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1985.1057081"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1109\/82.982368"},{"key":"rf20","volume-title":"Introduction to Wavelets and Wavelet Transforms","author":"Primer A.","year":"1998"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1109\/18.119724"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160410705"},{"key":"rf23","volume-title":"Numerical Recipes in C","author":"Press W. H.","year":"1999"},{"key":"rf26","volume-title":"The Art of Computer Programming, Vol. 2 \u2014 Seminumerical Algorithms","author":"Knuth D.","year":"1981"}],"container-title":["Journal of Circuits, Systems and Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218126604001982","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:43:28Z","timestamp":1565135008000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218126604001982"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12]]},"references-count":16,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[2004,12]]}},"alternative-id":["10.1142\/S0218126604001982"],"URL":"https:\/\/doi.org\/10.1142\/s0218126604001982","relation":{},"ISSN":["0218-1266","1793-6454"],"issn-type":[{"value":"0218-1266","type":"print"},{"value":"1793-6454","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,12]]}}}