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Voronezh, Russia

Axvig N.,Military Institute | Axvig N.,Concordia College | Dreher D.,University of Nebraska - Lincoln
IEEE Transactions on Information Theory | Year: 2013

The performance of linear programming decoding is determined by the set of nonzero linear programming pseudocodewords. The minimum pseudoweight of this set of linear programming pseudocodewords is also generally accepted as a good predictor of the performance of iterative message-passing decoding. Since the linear programming decoder has a natural description based on the Tanner graph of a code, linear programming pseudocodewords can be analyzed from a graphical viewpoint. In this paper, two graphical characterizations of linear programming pseudocodewords of cycle codes are provided: one for the entire set of linear programming pseudocodewords, and one for the set of minimal linear programming pseudocodewords. The first of these characterizations is used to determine a formula for the minimum degree of a graph cover necessary to realize a linear programming pseudocodeword of a cycle code, and the second is used to prove a result concerning the asymptotic performance of the linear programming decoder when considering transmission over either the additive white Gaussian noise channel or the binary symmetric channel. Finally, a discussion contrasting these two characterizations both with each other and with Horn's characterization of bad pseudocycles is provided. © 1963-2012 IEEE. Source


Golovkov A.A.,Military Institute | Gaidukov V.I.,Military Institute
Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) | Year: 2010

A problem of parametral synthesis of matching devices for amplitude demodulators, built on resistive elements, by the criterion of ensuring the specified modulation depth of the received amplitude-modulated signal with any initial modulation depth of it, is solved. © 2010 Begell House, Inc. Source


Golovkov A.A.,Military Institute | Boyarintsev A.V.,Military Institute
Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) | Year: 2010

A problem of parametrical synthesis of matching devices for amplitude demodulators, built on resistive elements, by the criterion of ensuring the specified amplitudes of the received signal in two states of a three-pole nonlinear element, defined by extreme values of the input amplitude-modulated signal, is solved. © 2010 Begell House, Inc. Source


Golovkov A.A.,Military Institute | Malyutina I.A.,Military Institute
Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) | Year: 2011

A problem of parametrical synthesis of complex matching and filtering devices (MFDs) of phase demodulators by the criterion of ensuring the conversion of a phase-modulated signal to an amplitude- and-phase-modulated signal with the specific modulation depth is solved. Systems of interrelations between elements of the MFD resistance matrix elements, optimal by the above criterion, have been produced. These interrelations have been used to find mathematical expressions determining optimal values of complex resistances in typical MFD two-pole networks. © 2010 by Begell House, Inc. Source


Golovkov A.A.,Military Institute | Gaidukov V.I.,Military Institute
Telecommunications and Radio Engineering (English translation of Elektrosvyaz and Radiotekhnika) | Year: 2011

A problem of parametrical synthesis of resistive matching devices (MDs) of phase demodulators by the criterion of ensuring the conversion of a phase-modulated signal to an amplitude-andphase-modulated signal with the specific modulation depth, using a three-pole nonlinear element, is solved. © 2010 by Begell House, Inc. Source

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