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mechanisms within control systems are fixed  (2) a device for converting coded infor-
                              decision rule and optimization-based mech-  mation to a form that can be understood by a
                              anism. Decision mechanisms can assume a  person or machine.
                              hierarchical form — one may then talk about
                              a hierarchical decision structure.     decoder source  the coded signal input to
                                                                     the decoder. In information theory the de-
                              decision support system  a system whose  coder source is modeled as a random process.
                              purpose is to seek to identity and solve prob-
                              lems.                                  decoding  (1) the act of retrieving the orig-
                                                                     inal information from an encrypted (coded)
                              decision tree analysis  decomposing a  data transmission.
                              problem into alternatives represented by  (2) the process of producing a single out-
                              branches where nodes (branch intersections)  put signal from each input of a group of input
                              represent a decision point or chance event  signals.
                              having probabilistic outcome. Analysis con-  (3) the operation of the decoder. The in-
                              sists of calculating expected values associ-  verse mapping from coded symbols to recon-
                              ated with the chain of events leading to the  structed data samples. Decoding is the in-
                              various outcomes.                      verse of encoding, insofar as this is possible.

                              decision-directed adaptation  a method  decomposition  (1) an operation per-
                              for adapting a digital equalizer in which de-  formed on a complex system whose purpose
                              cisions at the output of the equalizer are used  is to separate its constituent parts or subsys-
                              to guide the adaptive algorithm. See also  tems in order to simplify the analysis or de-
                              adaptive algorithm, LMS.               sign procedures.
                                                                       1. For large-scale systems, decomposition
                              declaration  phase or statement in which a  is performed by neglecting links intercon-
                              new variable is requested; the declaration of  necting subsystems. It is followed by design
                              a variable is based on the definition of its type  of local control systems on the base of local
                              or class. This phase leads to a instantiation  objectives and coordination, which enables
                              of the variable.                       reaching global goals. See also decentralized
                                                                     control.
                              decode cycle  the period of time during  2. For optimization algorithms, decompo-
                              which the processor examines an instruction  sition is reached by resolving the objective
                              to determine how the instruction should be  function or constraints into smaller parts, for
                              processed.  This is the part of the fetch-  example, by partitioning the matrix of con-
                              decode-execute cycle for all machine instruc-  strains in linear programs followed by the so-
                              tion.                                  lution of a number of low dimensional linear
                                                                     programs and coordination by Lagrange mul-
                              decode history table  a form of branch  tipliers.
                              history table accessed after the instruction  3. For uncertainties, decomposition is per-
                              is decoded and when the branch address is  formed to make their model trackable, for
                              available so that the table need only store a  example, by dividing them into matched
                              Boolean bit for each branch instruction to in-  and mismatched parts. See also matching
                              dicate whether this address should be used.  conditions.
                                                                       4. For linear time-invariant systems in
                              decoder   (1) a logic circuit with N inputs  state form, Kalman’s decomposition is a
                              and 2 N  outputs, one and only one of which  transformation of state matrix in a way that
                              is asserted to indicate the numerical value of  indicates its controllable and observable,
                              the N input lines read as a binary number.  controllable and unobservable, uncontrol-



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