Discrete Cosine Transform: Algorithms, Advantages, Applications

This text begins with the definitions, properties, and asymptotic behaviour of the discrete kosine transform (DCT) and progresses to a presentation of the algorithms necessary for its efficient implementation. Extensions of the DCT to multidimensions are included, as is a comparison of its performance versus other discrete transforms, reinforcing the superior performance of the DCT. Also included is coverage of applications ranging from filtering to image coding. DCT covers diverse disciplines such as: speech, video, printed image, medical imaging, transmultiplexers, and surface textures.