{"id":158067,"date":"1990-06-01T00:00:00","date_gmt":"1990-06-01T00:00:00","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/msr-research-item\/lapped-transforms-for-efficient-transformsubband-coding\/"},"modified":"2018-10-16T21:02:05","modified_gmt":"2018-10-17T04:02:05","slug":"lapped-transforms-for-efficient-transformsubband-coding","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/lapped-transforms-for-efficient-transformsubband-coding\/","title":{"rendered":"Lapped Transforms for Efficient Transform\/Subband Coding"},"content":{"rendered":"<div class=\"asset-content\">\n<p>Two new lapped transforms for subband\/transform coding of signals are introduced: a new version of the lapped orthogonal transform (LOT), which can be efficiently computed for any transform length; and the modulated lapped transform (MLT), which is based on a modulated quadrature mirror filter (QMF) bank. The MLT can also be efficiently computed by means of a type-IC discrete sine transform (DST-IV). The LOT and the MLT are both asymptotically optimal lapped transforms for encoding AR(1) signals with a high intersample correlation coefficient. The coding gains of the LOT and the MLT of length M are higher than that of the discrete cosine transform (DCT) of the same length; they are actually closer to the coding gains obtained with a DCT of length 2M. An MLT-based adaptive transform coder (ATC) for speech signals has been simulated; the code is essentially free from frame rate noise and has a better spectral resolution than DCT-based ATC systems.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Two new lapped transforms for subband\/transform coding of signals are introduced: a new version of the lapped orthogonal transform (LOT), which can be efficiently computed for any transform length; and the modulated lapped transform (MLT), which is based on a modulated quadrature mirror filter (QMF) bank. The MLT can also be efficiently computed by means [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[13560],"msr-publication-type":[193715],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-post-option":[],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-158067","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-programming-languages-software-engineering","msr-locale-en_us"],"msr_publishername":"Institute of Electrical and Electronics Engineers, Inc.","msr_edition":"IEEE Transactions in Acoustics, Speech, and Signal 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