By Hille E.

Show description

Read or Download On Laguerres Series First Note PDF

Similar mathematics books

Meeting the Needs of Your Most Able Pupils in Maths (The Gifted and Talented Series)

Assembly the desires of Your so much capable scholars: arithmetic offers particular advice on: recognising excessive skill and strength making plans, differentiation, extension and enrichment in Mathematicss instructor wondering talents help for extra capable scholars with special academic needs (dyslexia, ADHD, sensory impairment) homework recording and review past the study room: visits, competitions, summer season faculties, masterclasses, hyperlinks with universities, companies and different firms.

Extra info for On Laguerres Series First Note

Example text

It also promises that codes exist that approach the theoretical bounds when the code dimension and delay become large. An important theorem in this branch is the source coding theorem [17]: Source coding theorem: There exists a mapping from source symbols to codewords such that for a given distortion D, R(D) bits=symbol are su cient to achieve an average distortion that is arbitrarily close to D. The function R(D) is known as the rate-distortion function. 4. This function is normally computed using numerical methods [18], although for simple source and distortion models it can be computed analytically.

13: A vector quantization system ÿrst decomposed into k-dimensional input vectors. Those input vectors can be generated in a number of di erent ways; they can refer to the pel values themselves or to some appropriate transformation of them. For example, a k = M × M block of pels can be ordered to form a k-dimensional input vector s = [s1 ; : : : ; sk ]T . In VQ, the k-dimensional space R k is divided into N regions, or cells, Ri . Any input vector that falls into cell Ri is represented by a representative codevector ri = [r1 ; : : : ; rk ]T .

This representation serves two purposes. First, luminance ensures backward compatibility with monochrome video. Second, this representation lends itself more easily to video compression. This can be explained as follows. The human visual system (HVS) has poor response to color (chrominance) spatial detail compared to its response to luminance spatial detail [9]. Thus, the chrominance signals can be bandlimited or subsampled to achieve compression. There are three main analog color coding systems: Phase Alternation Line (PAL), SEquential Couleur Avec Memoire (SECAM) and National Television System Committee (NTSC).

Download PDF sample

Rated 4.90 of 5 – based on 43 votes