{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:20:56Z","timestamp":1753885256823,"version":"3.41.2"},"reference-count":26,"publisher":"World Scientific Pub Co Pte Ltd","issue":"05","funder":[{"DOI":"10.13039\/501100004541","name":"Ministry of Human Resource Development","doi-asserted-by":"publisher","award":["MHR01-23-200-4028"],"award-info":[{"award-number":["MHR01-23-200-4028"]}],"id":[{"id":"10.13039\/501100004541","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2023,10]]},"abstract":"<jats:p> This paper establishes a relationship between the phase and log-magnitude of the Stockwell transform (S-transform). The proposed relationship is derived by defining the S-Transform in terms of wavelet functions. The proposed work is an extension of the study [Holighaus N., Koliander G., Pr\u016f\u0161a Z., Abreu L.\u00a0D., Characterization of analytic wavelet transforms and a new phaseless reconstruction algorithm, IEEE Trans. Signal Process.\u00a067(15):3894\u20133908, 2019] carried out to establish a relationship between the phase and magnitude of the continuous wavelet transform. Our methodology exploits the relationship between partial derivatives of the real and imaginary parts of the wavelet and S-transform for a couple of window functions (Gaussian and bi-Gaussian). Apart from the continuous case, these relationships are explicitly shown for the discrete version of the S-transform. <\/jats:p>","DOI":"10.1142\/s1793962323500368","type":"journal-article","created":{"date-parts":[[2022,11,11]],"date-time":"2022-11-11T14:16:51Z","timestamp":1668176211000},"source":"Crossref","is-referenced-by-count":0,"title":["A wavelet-based study on phase and magnitude relationships of the Stockwell transform"],"prefix":"10.1142","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5433-8010","authenticated-orcid":false,"given":"Km. Neeraj","family":"Singh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"}]},{"given":"Sanjeev","family":"Kumar","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India"}]}],"member":"219","published-online":{"date-parts":[[2022,11,10]]},"reference":[{"key":"S1793962323500368BIB001","doi-asserted-by":"publisher","DOI":"10.1109\/78.492555"},{"key":"S1793962323500368BIB002","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2003.810293"},{"key":"S1793962323500368BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/79.91217"},{"key":"S1793962323500368BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.compeleceng.2014.01.010"},{"key":"S1793962323500368BIB006","doi-asserted-by":"publisher","DOI":"10.1109\/TASL.2009.2017438"},{"key":"S1793962323500368BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-1513-8_90"},{"key":"S1793962323500368BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s11770-007-0034-7"},{"key":"S1793962323500368BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/0165-1684(90)90087-F"},{"volume-title":"Analysis and Processing of Non-stationary Signal","year":"1998","author":"Zhang X.-D.","key":"S1793962323500368BIB010"},{"key":"S1793962323500368BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(96)00487-6"},{"key":"S1793962323500368BIB012","doi-asserted-by":"publisher","DOI":"10.1137\/16M1071481"},{"key":"S1793962323500368BIB013","doi-asserted-by":"publisher","DOI":"10.1109\/TASSP.1984.1164317"},{"key":"S1793962323500368BIB014","doi-asserted-by":"publisher","DOI":"10.1109\/TASLP.2017.2678166"},{"key":"S1793962323500368BIB015","doi-asserted-by":"publisher","DOI":"10.23919\/EUSIPCO.2017.8081353"},{"key":"S1793962323500368BIB016","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2012.2190279"},{"key":"S1793962323500368BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s11277-020-07339-6"},{"key":"S1793962323500368BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/TSP.2008.917029"},{"key":"S1793962323500368BIB019","doi-asserted-by":"publisher","DOI":"10.1190\/1.1993713"},{"key":"S1793962323500368BIB021","doi-asserted-by":"publisher","DOI":"10.1109\/MIC.2013.6758023"},{"issue":"5","key":"S1793962323500368BIB022","first-page":"245","volume":"6","author":"Yun L.","year":"2013","journal-title":"Int. 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