Decoding method

The goal of this chapter is to review the recent significant advances achieved in the study of 2D maps (Marchetti et al., 2004 Pietrogrande et al., 2002,2003,2005,2006 a Campostrini et al., 2005). Fundamental aspects concerning the intimate structure of multicomponent mixtures and separations will be discussed in Section 4.2. Description of the methods recently developed by the present authors for characterizing the separation pattern complexity of a 2D multicomponent map will be presented in Sections 4.3 and 4.4. These methods allow one to describe complex 2D separations in terms of SC number (m), the detection of hidden homologous series, spot shape features and separation performance. For these reasons they are named as decoding methods. In Section 4.5, the most recent achievements derived from the application... 

For each parameter pair (a,b), a single number c (a,b) can be used to store the information on the entire sequence (6.43) of ordered Betti numbers. One coding-decoding method relies on the prime factorization of integers. If p denotes the i-th prime number in the sequence... 

Figure 24 shows the normal ID H NMR spectrum for the nine component mixture without PFG, a control experiment performed on the mixture in the absence of hydroquinine 9-phenanthryl ether under identical PFG conditions and the ID H NMR spectrum of the same mixture under the PFG conditions. Only signals from hydoquinine 9-phenanthryl ether and compounds 1 and 2 are observed in the bottom spectrum. As expected no NMR signals are present in the absence of molecular interactions. The structures of the compounds that interacted with hydroquinine 9-phenanthryl ether were identified directly in the mixture using the DECODES method. 

We describe the Viterbi decoding technique used for convolutional codes. The application of convolutional encoding in combination with Viterbi decoding is suitable for channels with Additive White Gaussian Noise (AWGN). The Viterbi decoding method was first introduced by the founder of Qualcomm Corporation,... 

An FEG is essential for reaching the information limit by means of image decoding methods, and similarly the mechanical and electronic stability have to be compatible with this limit. Erom the point of view... 

Maximum-Hkelihood decoding A decoding procedure that maximizes the probability of a received sequence given any of the possible codewords. If codewords are equally likely, this decoding method yields the minimum possible error probability. 

Lancaster, F. A. Pulsed Semiconductor Diode Lasers as an Environmentally Efficient and Affordable Decoding Method for Shipbuilding and Ship Maintenance. Journal of Ship Production 19, no. 3 (2003) 165-178. 

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