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lapped transform wikipedia jump to content main menu main menu move to sidebar hide navigation main page contents current events random article about wikipedia contact us contribute help learn to edit community portal recent changes upload file special pages search search appearance donate create account log in personal tools donate create account log in contents move to sidebar hide top 1 references toggle the table of contents lapped transform add languages add links article talk english read edit view history tools tools move to sidebar hide actions read edit view history general what links here related changes upload file permanent link page information cite this page get shortened url switch to legacy parser print export download as pdf printable version in other projects wikidata item appearance move to sidebar hide from wikipedia the free encyclopedia lapped transform signal processing acronym lt type linear transform filter bank subtypes lapped orthogonal transform lot modified discrete cosine transform mdct lapped biorthogonal transform lbt applications audio compression image compression data compression key feature overlapping blocks to reduce blocking artifacts 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 references edit malvar h s 1992 signal processing with lapped transforms document artech house de queiroz ricardo l on lapped transforms 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 1 2 next generation video introducing daala xiph org june 20 2013 v t e data compression methods lossless type entropy adaptive coding arithmetic asymmetric numeral systems golomb huffman adaptive canonical modified range shannon shannon fano shannon fano elias tunstall unary universal exp golomb fibonacci gamma levenshtein dictionary byte pair encoding lempel ziv 842 lz4 lzjb lzo lzrw lzss lzw lzwl snappy other bwt ctw cm delta incremental dmc dpcm grammar re pair sequitur ldct mtf paq ppm rle hybrid lz77 huffman deflate lzx lzs lz77 ans lzfse lz77 huffman ans zstandard lz77 huffman context brotli lzss huffman lha lzh lz77 range lzma lzham rle bwt mtf huffman bzip2 lossy type transform discrete cosine transform dct mdct dst fft wavelet daubechies dwt spiht predictive dpcm adpcm lpc acelp celp lar lsp wlpc motion compensation estimation vector psychoacoustic audio concepts bit rate abr cbr vbr companding convolution dynamic range latency nyquist shannon theorem sampling silence compression sound quality speech coding sub band coding codec parts a law μ law dpcm adpcm dm ft fft lpc acelp celp lar lsp wlpc mdct psychoacoustic model image concepts chroma subsampling coding tree unit color space compression artifact image resolution macroblock pixel psnr quantization standard test image texture compression methods chain code dct deflate fractal klt lp rle wavelet daubechies dwt ezw spiht video concepts bit rate abr cbr vbr display resolution frame frame rate frame types interlace video characteristics video quality codec parts dct dpcm deblocking filter lapped transform motion compensation estimation vector wavelet daubechies dwt theory compressed data structures compressed suffix array fm index entropy information theory timeline kolmogorov complexity prefix code quantization rate distortion redundancy symmetry smallest grammar problem community hutter prize people mark adler david a huffman phil katz this linear algebra related article is a stub you can help wikipedia by adding missing information v t e this electronics related article is a stub you can help wikipedia by adding missing information v t e retrieved from https en wikipedia org w index php title lapped_transform oldid 1375125081 categories digital signal processing linear algebra discrete transforms data compression linear algebra stubs electronics stubs hidden category all stub articles this page was last edited on 16 september 2026 at 00 25 utc page was rendered with parsoid text is available under the creative commons attribution sharealike 4 0 license additional terms may apply by using this site you agree to the terms of use and privacy policy wikipedia is a registered trademark of the wikimedia foundation inc a non profit organization privacy policy about wikipedia disclaimers contact wikipedia legal safety contacts code of conduct developers statistics cookie statement mobile view search search toggle the table of contents lapped transform add languages add topic