It follows that by replacing the entry of the sequence x = F(m, s) with a the probability of decoding error can only decrease. Applying the same procedure for all the entries in F rn, s) s.t. d si, F m, s) ) > D produces a new codeword F m, s) with smaller decoding error probability. This new code word is acceptable as a code word for the channel H. [Pg.26]

To illustrate the incorporation of PFGs into conventional experiments, the basic COSY sequence is again used as an example. It has already been shown that for the absolute-value COSY experiment, those signals to be retained in the final COSY spectrum follow the coherence transfer pathway illustrated in Fig. 5.38, with N-type selection being the favoured option. For signal selection, it is sufficient to phase-encode coherences before the second 90° pulse and decode these after the pulse, immediately prior to detection. For [Pg.154]

Protein Translation—a step in protein bios mthesis wherein the genetic code carried by mRNA is decoded to produce the specific sequence of amino acids in a polypeptide chain. The process follows transcription in which the DNA sequence is copied (or transcribed) into an mRNA. [Pg.12]

Figuie 7.5 Description of e sequence follower circuit containing the Decoder component and the Enabler block. [Pg.234]

Figure 7.4 Description of Ote Decoder component in the sequence follower. |

Proof To show that the two capacities are equal we start by proving that the capacity Cc of C is greater or equal to the capacity Ck of K. Denote by K the modification of the channel K, where the side information sequence s is made available to the decoder. It is clear that Ck> > Ck- In the channel K the decoder, observes Y = X + Z)modQ and in the channel C the decoder observes Y = (X + Z)modP. However, since Z is distributed uniformly H X Y ) = H X Y) and hence the capacity of these two channels are equal. It follows that Cc = Ck > Ck- [Pg.27]

The top level of the proposed circuit was shown in Figure 7.1. The two blocks. Decoder and Enabler, have dear functions and well-defined I/O. The design process may therefore begin at this level. As a result, the top-level entity of the sequence follower contains a Port statement with data [Pg.228]

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