{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,20]],"date-time":"2025-10-20T10:21:45Z","timestamp":1760955705585,"version":"3.37.3"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61372137"],"award-info":[{"award-number":["61372137"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2017,7]]},"abstract":"<jats:p> Multiwindow discrete Gabor transform (M-DGT) is applied to present the Gabor time\u2013frequency representation for transient signals (exponentially damped sinusoidal signals) with high time\u2013frequency resolution. Due to the limitation of the constrained time\u2013frequency localization governed by the Heisenberg uncertainty principle, using a wider analysis window in time domain will lead to the Gabor time\u2013frequency spectrum (or representation) with higher frequency resolution but poor time resolution for the transient signals, and using a narrower analysis window in time domain will result in the Gabor time\u2013frequency spectrum (or representation) with higher time resolution but poor frequency resolution for the transient signals. To obtain the Gabor time\u2013frequency representation with both higher frequency resolution and higher time resolution, the above two spectra can be combined by geometric average. The experimental results show that the combined Gabor time\u2013frequency representation for the transient signals has higher time\u2013frequency resolution than that obtained when only the single analysis window is used in the traditional discrete Gabor transform. <\/jats:p>","DOI":"10.1142\/s0219691317500369","type":"journal-article","created":{"date-parts":[[2017,4,20]],"date-time":"2017-04-20T23:44:33Z","timestamp":1492731873000},"page":"1750036","source":"Crossref","is-referenced-by-count":7,"title":["Gabor time\u2013frequency representation for transient signals using multiwindow discrete Gabor transform"],"prefix":"10.1142","volume":"15","author":[{"given":"Xian-He","family":"Gao","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering, Hefei University, Hefei, Anhui 230601, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liang","family":"Tao","sequence":"additional","affiliation":[{"name":"School of Computer Science and Technology, Anhui University, Hefei, Anhui 230601, P. R. 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