{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,15]],"date-time":"2026-05-15T05:53:42Z","timestamp":1778824422157,"version":"3.51.4"},"reference-count":27,"publisher":"National Library of Serbia","issue":"2","license":[{"start":{"date-parts":[[2022,1,1]],"date-time":"2022-01-01T00:00:00Z","timestamp":1640995200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["ComSIS","COMPUT SCI INF SYST","COMPUT SCI INFORM SY","COMPUTER SCI INFORM","COMSIS J"],"published-print":{"date-parts":[[2022]]},"abstract":"<jats:p>Compactly supported orthogonal wavelet filters are extensively applied to the analysis and description of abrupt signals in fields such as multimedia. Based on the application of an elementary method for compactly supported orthogonal wavelet filters and the construction of a system of nonlinear equations for filter coefficients, we design compactly supported orthogonal wavelet filters, in which both the scaling and wavelet functions have many vanishing moments, by approximately solving the system of nonlinear equations. However, when solving such a system about filter coefficients of compactly supported wavelets, the most widely used method, the Newton Iteration method, cannot converge to the solution if the selected initial value is not near the exact solution. For such, we propose optimization algorithms for the Gauss-Newton type method that expand the selection range of initial values. The proposed method is optimal and promising when compared to other works, by analyzing the experimental results obtained in terms of accuracy, iteration times, solution speed, and complexity<\/jats:p>","DOI":"10.2298\/csis210410052f","type":"journal-article","created":{"date-parts":[[2021,11,1]],"date-time":"2021-11-01T14:51:07Z","timestamp":1635778267000},"page":"595-617","source":"Crossref","is-referenced-by-count":1,"title":["A study on optimally constructed compactly supported orthogonal wavelet filters"],"prefix":"10.2298","volume":"19","author":[{"given":"Yongkai","family":"Fan","sequence":"first","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qian","family":"Hu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yun","family":"Pan","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chaosheng","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Vehicle and Mobility, Tsinghua University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chao","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kuan-Ching","family":"Li","sequence":"additional","affiliation":[{"name":"Dept. of Computer Science and Information Engineering (CSIE), Providence University, Taichung, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weiguo","family":"Lin","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China,, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xingang","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Vehicle and Mobility, Tsinghua University, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaxuan","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenqian","family":"Shang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Media Convergence and Communication, Communication University of China, Beijing, China + School of Computer and Cyber Sciences\uff0cCommunication University of China, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1078","reference":[{"key":"ref1","doi-asserted-by":"crossref","unstructured":"Mansour, M.F., Subspace Design of Compactly Supported Orthonormal Wavelets. 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Journal of Minzu University of China (natural science edition), 2009. 18(suppl.)."},{"key":"ref6","unstructured":"Fu Qinyi, J.S., Construction of a compactly supported biorthogonal wavelet basis. Journal of Vibration Engineering, 2004. 17(3)."},{"key":"ref7","doi-asserted-by":"crossref","unstructured":"Mansour, M.F. On the design of matched orthonormal wavelets with compact support. 2011: IEEE.","DOI":"10.1109\/ICASSP.2011.5947326"},{"key":"ref8","doi-asserted-by":"crossref","unstructured":"Mansour, M.F. On the design of orthonormal wavelets for finite-length signals. 2013: IEEE.","DOI":"10.1109\/ICASSP.2013.6638740"},{"key":"ref9","doi-asserted-by":"crossref","unstructured":"Karel, J. and R. Peeters, Orthogonal Matched Wavelets with Vanishing Moments: A Sparsity Design Approach. Circuits, systems, and signal processing, 2018. 37(8): p. 3487-3514.","DOI":"10.1007\/s00034-017-0716-1"},{"key":"ref10","unstructured":"He, T. and T. Nguyen, A Note on the Daubechies Approach in the Construction of Spline Type Orthogonal Scaling Functions. 2015."},{"key":"ref11","unstructured":"Nguyen, T., Construction of Spline Type Orthogonal Scaling Functions and Wavelets. Honors Projects, 2015."},{"key":"ref12","doi-asserted-by":"crossref","unstructured":"Yang, S. and H. Huang, A novel method of constructing compactly supported orthogonal scaling functions from splines. Journal of Inequalities and Applications, 2017. 2017(1).","DOI":"10.1186\/s13660-017-1425-9"},{"key":"ref13","doi-asserted-by":"crossref","unstructured":"Gupta, K.L., B. Kunwar and V.K. Singh, Compactly Supported B-spline Wavelets with Orthonormal Scaling Functions. Asian Research Journal of Mathematics, 2017.","DOI":"10.9734\/ARJOM\/2017\/31684"},{"key":"ref14","doi-asserted-by":"crossref","unstructured":"Qin, P., et al., Convolutional neural networks and hash learning for feature extraction and of fast retrieval of pulmonary nodules. 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IEEE Internet of Things Journal: p. 1-1."},{"key":"ref23","doi-asserted-by":"crossref","unstructured":"Liang, W., et al., Secure Data Storage and Recovery in Industrial Blockchain Network Environments. IEEE Transactions on Industrial Informatics, 2020. 16(10): p. 6543-6552.","DOI":"10.1109\/TII.2020.2966069"},{"key":"ref24","doi-asserted-by":"crossref","unstructured":"Fan, Y., et al., TraceChain: A blockchain\u2010based scheme to protect data confidentiality and traceability. Software: Practice and Experience, 2019. 77.","DOI":"10.1002\/spe.2753"},{"key":"ref25","unstructured":"Zhang Bin, Y.F., Wavelet analysis method and its Application. 2011, Bei jing: National Defense Industry Press."},{"key":"ref26","unstructured":"Youxin, L., H. Zheming and C. Xiaoyi, The least square method of hyperchaotic sequence for solving nonlinear equations and its application. Journal of Hunan University of Arts and Sciences (natural science edition), 2010(22)."},{"key":"ref27","unstructured":"Li, G., Numerical optimization method. 2014, Beijing: Peking University Press."}],"container-title":["Computer Science and Information Systems"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T08:05:50Z","timestamp":1685347550000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=1820-02142100052F"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022]]},"references-count":27,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022]]}},"URL":"https:\/\/doi.org\/10.2298\/csis210410052f","relation":{},"ISSN":["1820-0214","2406-1018"],"issn-type":[{"value":"1820-0214","type":"print"},{"value":"2406-1018","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022]]}}}