Insignal processing, alapped transform is a type oflineardiscrete block transformation where thebasis 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 withblock transform coding techniques, in particular those using thediscrete cosine transform. The best known example is themodified discrete cosine transform used in theMP3,Vorbis,AAC, andOpusaudio 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 codingI-frames inVC-1 and for image coding in theJPEG XR format. More recently, a form of lapped transform has also been used in the development of theDaalavideo coding format.[5]
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