{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:46:05Z","timestamp":1760237165506,"version":"build-2065373602"},"reference-count":18,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2020,3,4]],"date-time":"2020-03-04T00:00:00Z","timestamp":1583280000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In the last years, the need for new efficient video compression methods grown rapidly as frame resolution has increased dramatically. The Joint Collaborative Team on Video Coding (JCT-VC) effort produced in 2013 the H.265\/High Efficiency Video Coding (HEVC) standard, which represents the state of the art in video coding standards. Nevertheless, in the last years, new algorithms and techniques to improve coding efficiency have been proposed. One promising approach relies on embedding direction capabilities into the transform stage. Recently, the Steerable Discrete Cosine Transform (SDCT) has been proposed to exploit directional DCT using a basis having different orientation angles. The SDCT leads to a sparser representation, which translates to improved coding efficiency. Preliminary results show that the SDCT can be embedded into the HEVC standard, providing better compression ratios. This paper presents a hardware architecture for the SDCT, which is able to work at a frequency of 188   M      Hz   , reaching a throughput of 3.00 GSample\/s. In particular, this architecture supports 8k UltraHigh Definition (UHD) (7680 \u00d7 4320) with a frame rate of 60    Hz   , which is one of the best resolutions supported by HEVC.<\/jats:p>","DOI":"10.3390\/s20051405","type":"journal-article","created":{"date-parts":[[2020,3,4]],"date-time":"2020-03-04T10:46:08Z","timestamp":1583318768000},"page":"1405","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Steerable-Discrete-Cosine-Transform (SDCT): Hardware Implementation and Performance Analysis"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5778-4518","authenticated-orcid":false,"given":"Riccardo","family":"Peloso","sequence":"first","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2500-2283","authenticated-orcid":false,"given":"Maurizio","family":"Capra","sequence":"additional","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]},{"given":"Luigi","family":"Sole","sequence":"additional","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7313-8017","authenticated-orcid":false,"given":"Massimo","family":"Ruo Roch","sequence":"additional","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2238-9443","authenticated-orcid":false,"given":"Guido","family":"Masera","sequence":"additional","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3069-0319","authenticated-orcid":false,"given":"Maurizio","family":"Martina","sequence":"additional","affiliation":[{"name":"Department of Electronics and Telecommunication (DET), Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Turin, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2020,3,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1649","DOI":"10.1109\/TCSVT.2012.2221191","article-title":"Overview of the High Efficiency Video Coding (HEVC) Standard","volume":"22","author":"Sullivan","year":"2012","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_2","unstructured":"Naccari, M., Gabriellini, A., Mrak, M., Blasi, S.G., Zupancic, I., and Izquierdo, E. (June, January 31). HEVC Coding Optimisation for Ultra High Definition Television Services. Proceedings of the Picture Coding Symposium, Cairns, Australia."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/j.image.2017.06.001","article-title":"Analysis of HEVC Transform Throughput Requirements for Hardware Implementations","volume":"57","author":"Masera","year":"2017","journal-title":"Elsevier Signal Process. Image Commun."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2407","DOI":"10.1109\/TCSVT.2018.2822319","article-title":"Low-Complexity Order-64 Integer Cosine Transform Design and its Application in HEVC","volume":"28","author":"Chen","year":"2018","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1517","DOI":"10.1109\/TCSI.2018.2882474","article-title":"Approximate DCT Design for Video Encoding Based on Novel Truncation Scheme","volume":"66","author":"Sun","year":"2019","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1363","DOI":"10.1007\/s11045-018-0601-5","article-title":"Low-complexity 8-point DCT approximation based on angle similarity for image and video coding","volume":"30","author":"Oliveira","year":"2019","journal-title":"Multidimens. Syst. Signal Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1109\/TIP.2016.2623489","article-title":"Steerable Discrete Cosine Transform","volume":"26","author":"Fracastoro","year":"2017","journal-title":"IEEE Trans. Image Process."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Masera, M., Fracastoro, G., Martina, M., and Magli, E. (2019, January 12\u201317). A Novel Framework for Designing Directional Linear Transforms with Application to Video Compression. Proceedings of the ICASSP 2019\u20142019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Brighton, UK.","DOI":"10.1109\/ICASSP.2019.8683527"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Sole, L., Peloso, R., Capra, M., Roch, M.R., Masera, G., and Martina, M. (2019, September 13). VLSI Architectures for the Steerable-Discrete-Cosine-Transform (SDCT). Applications in Electronics Pervading Industry, Environment and Society (ApplePies) 2019, to Appear. Available online: https:\/\/applepies.eu\/.","DOI":"10.1007\/978-3-030-37277-4_16"},{"key":"ref_10","unstructured":"Sole, L. (2018). VLSI architectures for the Steerable Discrete Cosine Transform. [Master\u2019s Thesis, Politecnico di Torino]."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1109\/TCSVT.2008.918455","article-title":"Directional Discrete Cosine Transforms\u2014A New Framework for Image Coding","volume":"18","author":"Zeng","year":"2008","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1109\/MSP.2012.2235192","article-title":"The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains","volume":"30","author":"Shuman","year":"2013","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1109\/TCSVT.2013.2276862","article-title":"Efficient Integer DCT Architectures for HEVC","volume":"24","author":"Meher","year":"2014","journal-title":"IEEE Trans. Circuits Syst. Video Technol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/BF02476026","article-title":"Factoring wavelet transforms into lifting steps","volume":"4","author":"Daubechies","year":"1998","journal-title":"J. Fourier Anal. Appl."},{"key":"ref_15","unstructured":"Bjontegard, G. (2001, January 2\u20134). Calculation of Average PSNR Differences between RD-curves. Proceedings of the ITU\u2014Telecommunications Standardization Sector STUDY GROUP 16 Video Coding Experts Group (VCEG), 13th Meeting, Austin, TX, USA."},{"key":"ref_16","unstructured":"Zhao, W., Onoye, T., and Song, T. (2013, January 19\u201323). High-performance multiplierless transform architecture for HEVC. Proceedings of the 2013 IEEE International Symposium on Circuits and Systems (ISCAS), Beijing, China."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ahmed, A., Shahid, U., and Rehman, A. (2012). N point DCT VLSI architecture for emerging HEVC standard. VLSI Design, 2012.","DOI":"10.1155\/2012\/752024"},{"key":"ref_18","first-page":"2714","article-title":"Adaptive Approximated DCT Architectures for HEVC","volume":"27","author":"Masera","year":"2017","journal-title":"IEEE Trans. Circuits Syst. Video Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/5\/1405\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:04:06Z","timestamp":1760173446000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/5\/1405"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,4]]},"references-count":18,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2020,3]]}},"alternative-id":["s20051405"],"URL":"https:\/\/doi.org\/10.3390\/s20051405","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,3,4]]}}}