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217   INDUCTANCE                                                                integrated circuit, digital



           INDUCTANCE is “the property of an electric circuit by vir-  In radar applications, information measures are used for
           tue of which a varying current induces an electromotive force  information description of a radar channel. IAM
           in that circuit or in a neighboring circuit.” Essentially it is the  Ref.: DiFranco (1968), Ch. 7; Kosenko (1982), pp. 30–33.
           rate of increase in magnetic “linkage” with an increase in cur-
                                                                INTEGRATED CIRCUIT. An integrated circuit is a solid-
           rent  in an electric circuit such as a coil,  where linkage is
                                                                state circuit that is “the combination of interconnecting circuit
           defined as the product of the magnetic flux through the circuit
                                                                elements inseparably associated or within a continuous sub-
           (coil)  and the  number of  turns.  The inductance of a coil  is
                                                                strate.” Integrated circuits can be of hybrid and monolithic
           given by
                                                                types (Table I1).
                                     X
                                 L =  --------
                                    2p f                                              Table I1
           where X is the reactance and f the frequency of the alternating  Comparison of Microwave Integrated Circuits
           current. PCH
           Ref.: Van Nostrand (1983), p. 1,592.                                            Hybrid     Monolithic
                                                                      Characteristics     integrated   integrated
           INFORMATION MEASURE [METRIC]. An information                                    circuits    circuits
           measure describes the amount of information, determining
           the unit and method  of  measurement of information  in the  Possibility of replacement and   Yes  No
           process of its receipt. This  consists  of “transformation”  of  tuning of components
           some  a priori distribution,  P  = {p ,  k=1,  n}, describing  Possibility of producing sig-  Yes  No
                                          k
                                    n
           observed objects and their assumed properties in the empiri-
                                                                 nificant output power
           cal Q  = {q , k = 1, n} after processing of the received data.
               n
                    k
               As the information measure we use the difference  Possibility of creating built-in   Yes  Limited
                                                                 nonreciprocal devices and
                         I =  Hp (  ) Hq ( ,  1 N
                                        ) k =
                                            ,
                                  –
                          k     k     k                          microwave filters
           where  H(x)  is entropy. Depending  on  the type of function
                                                                 Reliability             Lower      Higher
           describing entropy, one can use  Shannon,  Kulbak,
           Kotel’nikov, Bayes, or Fisher measures.               Yield                   High       Lower
               The Bayes measure corresponds to entropy of the type
                                                                 Cost                    Lower      Higher
                           H(x) = 1 - x, x Î (0,1)
           The amount  of  Bayes information  is determined by the  Integrated circuits make possible the microminiaturiza-
           expression                                           tion of electronic equipment (increasing the density of com-
                               I  = q  - p .
                                k   k  k                        ponents  per unit volume by a  factor of 10  to  100),
               The Fisher measure corresponds to entropy of the type  improvement in speed by a significant factor, increase in reli-
                   2
           H(x) = ln x, x Î (0,1). The quantity of Fisher information is  ability, and reduction in power consumption. Such circuits are
           determined by the expression                         widely used in radar signal processors, receivers, and lower
                                 2
                                        2
                            k = ln  p  - ln  q .                power portions of radar transmitters. IAM
                                          k
                                   k
               The Kotel’nikov measure corresponds to entropy of the  Ref.: IEEE (1993), p. 662; Frey (1985); Jordan (1985), Ch. 20; Hoffman
                                                                   (1987); Gassanov (1988), p. 24; Nikolaev (1992), pp. 9, 273.
           type H(P ) = 1 - max {p , ... , p }, and determined by the
                   n            1      n
           expression                                           A bipolar integrated circuit is based on bipolar transistors
                    I = max {q , ... , q } - max {p , ... , P }.  of the NPN or PNP type. Such circuits have a speed that is an
                                            1
                                                  n
                                  n
                            1
                                                                order of magnitude higher than integrated circuits on an MOS
               The Kulbak measure corresponds to entropy of the type
                                                                structure. By a criterion such as power-to-speed ratio, a bipo-
                                  1 –  x
                         Hx () log=  -----------  , x Î  ( 01 , )  lar integrated circuit also surpasses integrated MOS circuits.
                                   x
                                                                Joint use of bipolar and MOS instruments in integrated cir-
           The amount of Kulbak information is determined by the for-  cuits makes it possible to improve the characteristics of the
           mula                                                 devices made on their basis. IAM
                                  q k   1 –  p k                Ref.: Popov (1980), p 51; Fink (1982), p. 820; Nikolaev (1992), p. 10.
                           I =  log ----- –  log --------------
                            k     p     1 –  q
                                   k       k                    A digital integrated circuit is used in digital signal and data
               The Shannon measure corresponds to entropy of the type  processing. The quality of digital integrated circuits is evalu-
                         H(x) = log (1/x), x Î (0,1)            ated by speed and the specific delay time of signal propaga-
                                                                tion, which is no more than 2.5 ns/logic component. In terms
           The amount of  Shannon information is determined  by the
                                                                of technology  of production, digital integrated circuits are
           expression
                                                                usually classed as semiconductor integrated circuits.
                              I  = log (q /p ).
                              k
                                      k k
                                                                    Digital integrated circuits are widely used in computer
           If the logarithm base 2 is used, then the amount of Shannon
                                                                systems with microprogram control  and high productivity
           information is measured in bits.
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