In signal processing, a lapped transform is a type of linear discrete block transformation where the basis functions of the transformation overlap the block boundaries, yet the number of coefficients overall resulting from a series of overlapping block transforms remains the same as if a non-overlapping block transform had been used.[1][2][3][4]
Lapped transforms substantially reduce the blocking artifacts that otherwise occur with block transform coding techniques, in particular those using the discrete cosine transform. The best known example is the modified discrete cosine transform used in the MP3, Vorbis, AAC, and Opus audio codecs.[5]
Although the best-known application of lapped transforms has been for audio coding, they have also been used for video and image coding and various other applications. They are used in video coding for coding I-frames in VC-1 and for image coding in the JPEG XR format. More recently, a form of lapped transform has also been used in the development of the Daala video coding format.[5]
^Malvar, H. S. (1992). "Signal Processing with Lapped Transforms" (Document). Artech House.
^de Queiroz, Ricardo L. "On Lapped Transforms". CiteSeerX 10.1.1.91.7148. Retrieved August 20, 2023.
^Malvar, H. S. (November 1992). "Extended Lapped Transforms: Properties, Applications, and Fast Algorithms" (PDF). IEEE Transactions on Signal Processing. 40 (11): 2703–2714. Bibcode:1992ITSP...40.2703M. doi:10.1109/78.165657.
^Tran, Trac D.; Liang, Jie; Tu, Chengjie (June 2003). "Lapped Transform via Time-Domain Pre- and Post-Filtering" (PDF). IEEE Transactions on Signal Processing. 51 (6): 1557. Bibcode:2003ITSP...51.1557T. doi:10.1109/TSP.2003.811222. Archived from the original (PDF) on 2016-03-04. Retrieved 2013-06-22.
^ ab"Next generation video: Introducing Daala". xiph.org. June 20, 2013.
In signal processing, a lappedtransform is a type of linear discrete block transformation where the basis functions of the transformation overlap the...
cosine transform (MDCT) is a transform based on the type-IV discrete cosine transform (DCT-IV), with the additional property of being lapped: it is designed...
The modulated complex lappedtransform (MCLT) is a lappedtransform, similar to the modified discrete cosine transform, that explicitly represents the...
Constrained Energy LappedTransform (CELT) is an open, royalty-free lossy audio compression format and a free software codec with especially low algorithmic...
a lappedtransform. In JPEG, the image DC coefficients of the DCT blocks are predicted by applying DC prediction from the left neighbor transform block...
fast implementation of real-valued polyphase filtering banks, lapped orthogonal transform and cosine-modulated wavelet bases. DCT plays a very important...
modern audio compression algorithms are based on modified discrete cosine transform (MDCT) coding and linear predictive coding (LPC). In hardware, audio codec...
Digital de Sinais or GPDS). Malvar is known for the development of the lappedtransform, Malvar wavelets, and new algorithms for entropy coding and multimedia...
software Metropolis light transport, a computational algorithm Modulated lappedtransform in mathematics Multi-level transmit as in MLT-3 encoding Multi-link...
Modulated LappedTransform (MDCT), Lossy (based on Siren Codec) 16 kHz 24, 32 kbit/s 16 bit 40 ms Yes No No No G.722.1C Modulated LappedTransform (MDCT)...
org. Retrieved 2023-11-09. Elsayed, Hend A. (2014). "Burrows-Wheeler Transform and combination of Move-to-Front coding and Run Length Encoding for lossless...
In computer programming, the Schwartzian transform is a technique used to improve the efficiency of sorting a list of items. This idiom is appropriate...
Transforming growth factor beta (TGF-β) is a multifunctional cytokine belonging to the transforming growth factor superfamily that includes three different...
1997 Henrique Malvar For contributions to the theory and practice of lappedtransforms, fast multirate filter banks, and signal coding 1997 Peter Pirsch...
1997 Henrique Malvar For contributions to the theory and practice of lappedtransforms, fast multirate filter banks, and signal coding. 2001 Patrick Mantey...
1997 Rico Malvar For contributions to the theory and practice of lappedtransforms, fast multirate filter banks, and signal coding 1997 Paul Siegel For...
Magazine. Wiley, Chelsea (August 22, 2022). "Remember When Downtown Was Transformed Into A Racetrack? A Look Back At The Columbus 500". "Columbus 500 Kilometres...
A laparoscopic adjustable gastric band, commonly called a lap-band, A band, or LAGB, is an inflatable silicone device placed around the top portion of...
can be flipped, rotated, or slid behind the back of the chassis, thus transforming from a laptop into a tablet. Hybrids have a keyboard detachment mechanism...
Lapize, creators of the second and so classic and charming castle of la Pannonie La Pannonie was bought in 1685, and the Vidal de Lapizetransformed their...