10 research outputs found
Π‘Ρ Π΅ΠΌΠ° ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠΈ ΡΠΈΠ³Π½Π°Π»ΠΎΠ² Π΄Π»Ρ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΎΠ½Π½ΡΡ ΡΡΡΡΠΎΠΉΡΡΠ² Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠΊΠΈ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ Ρ ΠΊΠΎΠ½ΡΡΠΎΠ»Π΅ΠΌ Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΠΉ ΠΏΠΎ ΠΏΠ°ΡΠΈΡΠ΅ΡΡ
Simpler than known structure of the system with error correction in calculations is proposed based on duplication and triplication of blocks with majority principle of choosing the values of signals. It is advisable to use the new fault-tolerant structure for automation devices with combinational logic. In fault-tolerant structure synthesis, the parity method is used to establish the fact of a fault in the main logic unit and the logical complement method is used determine incorrectly calculated output functions and to generate signals for their correction. The method also allows to adjust the values of incorrectly calculated functions. Structural diagram and description of error correction system are given. The synthesis algorithm of control equipment is described with minimization of the technical implementation complexity. The experiment results with control combinational circuits are given, confirming the high efficiency of proposed system structure with error correction.ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π° Π±ΠΎΠ»Π΅Π΅ ΠΏΡΠΎΡΡΠ°Ρ ΡΡΡΡΠΊΡΡΡΠ° ΡΠΈΡΡΠ΅ΠΌΡ Ρ ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠ΅ΠΉ ΠΎΡΠΈΠ±ΠΎΠΊ Π² Π²ΡΡΠΈΡΠ»Π΅Π½ΠΈΡΡ
, ΡΠ΅ΠΌ ΠΈΠ·Π²Π΅ΡΡΠ½ΡΠ΅ ΡΡΡΡΠΊΡΡΡΡ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠ΅ Π½Π° Π΄ΡΠ±Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ ΠΈ ΡΡΠΎΠΈΡΠΎΠ²Π°Π½ΠΈΠΈ Π±Π»ΠΎΠΊΠΎΠ² Ρ ΠΌΠ°ΠΆΠΎΡΠΈΡΠ°ΡΠ½ΡΠΌ ΠΏΡΠΈΠ½ΡΠΈΠΏΠΎΠΌ Π²ΡΠ±ΠΎΡΠ° Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΡΠΈΠ³Π½Π°Π»ΠΎΠ². ΠΠΎΠ²ΡΡ ΠΎΡΠΊΠ°Π·ΠΎΡΡΡΠΎΠΉΡΠΈΠ²ΡΡ ΡΡΡΡΠΊΡΡΡΡ ΡΠ΅Π»Π΅ΡΠΎΠΎΠ±ΡΠ°Π·Π½ΠΎ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°ΡΡ Π΄Π»Ρ ΡΡΡΡΠΎΠΉΡΡΠ² Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠΊΠΈ Ρ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΎΠ½Π½ΠΎΠΉ Π»ΠΎΠ³ΠΈΠΊΠΎΠΉ. ΠΡΠΈ ΡΠΈΠ½ΡΠ΅Π·Π΅ ΠΎΡΠΊΠ°Π·ΠΎΡΡΡΠΎΠΉΡΠΈΠ²ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ ΠΏΡΠΈΠΌΠ΅Π½ΡΠ΅ΡΡΡ ΠΌΠ΅ΡΠΎΠ΄ ΠΏΠ°ΡΠΈΡΠ΅ΡΠ° Π΄Π»Ρ ΡΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΈΡ ΡΠ°ΠΊΡΠ° Π²ΠΎΠ·Π½ΠΈΠΊΠ½ΠΎΠ²Π΅Π½ΠΈΡ Π½Π΅ΠΈΡΠΏΡΠ°Π²Π½ΠΎΡΡΠΈ Π² ΠΊΠΎΠ½ΡΡΠΎΠ»ΠΈΡΡΠ΅ΠΌΠΎΠΌ ΠΎΠ±ΡΠ΅ΠΊΡΠ΅ ΠΈ ΠΌΠ΅ΡΠΎΠ΄ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ Π΄Π»Ρ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π½Π΅ΠΏΡΠ°Π²ΠΈΠ»ΡΠ½ΠΎ Π²ΡΡΠΈΡΠ»Π΅Π½Π½ΡΡ
Π²ΡΡ
ΠΎΠ΄Π½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ ΠΈ ΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠΈΠ³Π½Π°Π»ΠΎΠ² Π΄Π»Ρ ΠΈΡ
ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠΈ. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Π° ΡΡΡΡΠΊΡΡΡΠ½Π°Ρ ΡΡ
Π΅ΠΌΠ° ΡΠΈΡΡΠ΅ΠΌΡ Ρ ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠ΅ΠΉ ΠΎΡΠΈΠ±ΠΎΠΊ ΠΈ Π΄Π°Π½ΠΎ Π΅Π΅ ΠΎΠΏΠΈΡΠ°Π½ΠΈΠ΅. ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ Π°Π»Π³ΠΎΡΠΈΡΠΌ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΠΎΠ³ΠΎ ΠΎΠ±ΠΎΡΡΠ΄ΠΎΠ²Π°Π½ΠΈΡ Ρ ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·Π°ΡΠΈΠ΅ΠΉ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ Π΅Π³ΠΎ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ. Π Π΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠΎΠ² Ρ ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΡΠΌΠΈ ΠΊΠΎΠΌΠ±ΠΈΠ½Π°ΡΠΈΠΎΠ½Π½ΡΠΌΠΈ ΡΡ
Π΅ΠΌΠ°ΠΌΠΈ ΠΏΠΎΠ΄ΡΠ²Π΅ΡΠΆΠ΄Π°ΡΡ Π²ΡΡΠΎΠΊΡΡ ΡΡΡΠ΅ΠΊΡΠΈΠ²Π½ΠΎΡΡΡ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ ΠΏΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΠΎΠΉ ΡΡΡΡΠΊΡΡΡΡ ΡΠΈΡΡΠ΅ΠΌΡ Ρ ΠΊΠΎΡΡΠ΅ΠΊΡΠΈΠ΅ΠΉ ΠΎΡΠΈΠ±ΠΎΠΊ
Π‘ΠΏΠΎΡΠΎΠ± ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΡΠ΅ΠΌΠ΅ΠΉΡΡΠ²Π° ΠΊΠΎΠ΄ΠΎΠ² Ρ ΡΡΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Ρ Π½Π°ΠΈΠΌΠ΅Π½ΡΡΠΈΠΌ ΠΎΠ±ΡΠΈΠΌ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎΠΌ Π½Π΅ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π΅ΠΌΡΡ ΠΎΡΠΈΠ±ΠΎΠΊ Π² ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ Π²Π΅ΠΊΡΠΎΡΠ°Ρ
The research results of the methods for formation of separable sum codes with the minimum number of undetectable errors in data vectors are presented. A formula for counting the number of undetectable errors in data vectors and codes family properties are given. A universal method for formation of such codes is shown, which makes it possible for each value of the data vector length to obtain a whole family of codes that also have different distributions of undetectable errors by type and multiplicity. An example of codes formation, methods for analyzing characteristics, code comparison are presented. A method for synthesizing coders of developed sum codes is suggested.Β ΠΠ·Π»ΠΎΠΆΠ΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ ΡΠΏΠΎΡΠΎΠ±ΠΎΠ² ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΡΠ°Π·Π΄Π΅Π»ΠΈΠΌΡΡ
ΠΊΠΎΠ΄ΠΎΠ² Ρ ΡΡΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ Ρ Π½Π°ΠΈΠΌΠ΅Π½ΡΡΠΈΠΌ ΠΎΠ±ΡΠΈΠΌ ΠΊΠΎΠ»ΠΈΡΠ΅ΡΡΠ²ΠΎΠΌ Π½Π΅ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π΅ΠΌΡΡ
ΠΎΡΠΈΠ±ΠΎΠΊ Π² ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ
Π²Π΅ΠΊΡΠΎΡΠ°Ρ
. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΡΠΎΡΠΌΡΠ»Ρ ΠΏΠΎΠ΄ΡΡΠ΅ΡΠ° ΡΠΈΡΠ»Π° Π½Π΅ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π΅ΠΌΡΡ
ΠΎΡΠΈΠ±ΠΎΠΊ Π² ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΡΡ
Π²Π΅ΠΊΡΠΎΡΠ°Ρ
ΠΈ ΡΠ²ΠΎΠΉΡΡΠ²Π° Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΠΊΠ»Π°ΡΡΠ° ΠΊΠΎΠ΄ΠΎΠ². ΠΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½ ΡΠ½ΠΈΠ²Π΅ΡΡΠ°Π»ΡΠ½ΡΠΉ ΡΠΏΠΎΡΠΎΠ± ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΡΠ°ΠΊΠΈΡ
ΠΊΠΎΠ΄ΠΎΠ², Π΄Π°ΡΡΠΈΠΉ Π΄Π»Ρ ΠΊΠ°ΠΆΠ΄ΠΎΠ³ΠΎ Π·Π½Π°ΡΠ΅Π½ΠΈΡ Π΄Π»ΠΈΠ½Ρ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π²Π΅ΠΊΡΠΎΡΠ° Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΡΠ΅Π»ΠΎΠ³ΠΎ ΡΠ΅ΠΌΠ΅ΠΉΡΡΠ²Π° ΠΊΠΎΠ΄ΠΎΠ², ΠΎΠ±Π»Π°Π΄Π°ΡΡΠΈΡ
ΠΊ ΡΠΎΠΌΡ ΠΆΠ΅ ΡΠ°Π·Π»ΠΈΡΠ½ΡΠΌΠΈ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡΠΌΠΈ Π½Π΅ΠΎΠ±Π½Π°ΡΡΠΆΠΈΠ²Π°Π΅ΠΌΡΡ
ΠΎΡΠΈΠ±ΠΎΠΊ ΠΏΠΎ Π²ΠΈΠ΄Π°ΠΌ ΠΈ ΠΊΡΠ°ΡΠ½ΠΎΡΡΡΠΌ. ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΠΏΡΠΈΠΌΠ΅ΡΡ ΠΏΠΎΡΡΡΠΎΠ΅Π½ΠΈΡ ΠΊΠΎΠ΄ΠΎΠ², ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ Π°Π½Π°Π»ΠΈΠ·Π° ΠΈΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ, Π° ΡΠ°ΠΊΠΆΠ΅ Π΄Π°Π½ΠΎ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠ΅ ΠΊΠΎΠ΄ΠΎΠ² ΠΌΠ΅ΠΆΠ΄Ρ ΡΠΎΠ±ΠΎΠΉ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½ ΠΌΠ΅ΡΠΎΠ΄ ΡΠΈΠ½ΡΠ΅Π·Π° ΠΊΠΎΠ΄Π΅ΡΠΎΠ² ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΡΡ
ΠΊΠΎΠ΄ΠΎΠ² Ρ ΡΡΠΌΠΌΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ
Π‘ΠΈΠ½ΡΠ΅Π· ΡΠ°ΠΌΠΎΠΏΡΠΎΠ²Π΅ΡΡΠ΅ΠΌΡΡ ΡΡ Π΅ΠΌ Π²ΡΡΡΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ΅ΡΠΎΠ΄Π° Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ Π΄ΠΎ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ΄Π° Β«2 ΠΈΠ· 4Β»
The article explores the peculiarities of self-checking integrated control circuits synthesis by the Boolean complement method based on the "2-out-of-4'' constant-weight code. The article describes the features of integrated control circuits implementation by the Boolean complement method. It is noted that it is possible to synthesize the structures of discrete devices, which have less structural redundancy than in situation of the control circuit implementation by the method of duplication. The effect in structural redundancy reducing is achieved by minimizing the complexity of the control logic block technical implementation and using checkers that are simpler in their structures than the comparator in the system of duplication. The article proposes a method of the integrated control circuit organization based on determining the values of control functions taking into account the maintenance of testability of elements of addition by modulo two in the Boolean complement block and the checker of the "2-out-of-4" code.ΠΡΡΠ»Π΅Π΄ΡΡΡΡΡ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ ΡΠΈΠ½ΡΠ΅Π·Π° ΡΠ°ΠΌΠΎΠΏΡΠΎΠ²Π΅ΡΡΠ΅ΠΌΡΡ
ΡΡ
Π΅ΠΌ Π²ΡΡΡΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ ΠΏΠΎ ΠΌΠ΅ΡΠΎΠ΄Ρ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΡΠ°Π²Π½ΠΎΠ²Π΅ΡΠ½ΠΎΠ³ΠΎ ΠΊΠΎΠ΄Π° Β«2 ΠΈΠ· 4Β». ΠΠΏΠΈΡΡΠ²Π°ΡΡΡΡ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΡ
Π΅ΠΌ Π²ΡΡΡΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ ΠΏΠΎ ΠΌΠ΅ΡΠΎΠ΄Ρ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ. ΠΡΠΌΠ΅ΡΠ°Π΅ΡΡΡ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΡ ΡΠΈΠ½ΡΠ΅Π·Π° ΡΡΡΡΠΊΡΡΡ Π΄ΠΈΡΠΊΡΠ΅ΡΠ½ΡΡ
ΡΡΡΡΠΎΠΉΡΡΠ², ΠΈΠΌΠ΅ΡΡΠΈΡ
ΠΌΠ΅Π½ΡΡΡΡ ΡΡΡΡΠΊΡΡΡΠ½ΡΡ ΠΈΠ·Π±ΡΡΠΎΡΠ½ΠΎΡΡΡ, ΡΠ΅ΠΌ ΠΏΡΠΈ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΡΡ
Π΅ΠΌΡ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ ΠΏΠΎ ΠΌΠ΅ΡΠΎΠ΄Ρ Π΄ΡΠ±Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ. ΠΡΡΠ΅ΠΊΡ Π² ΡΠ½ΠΈΠΆΠ΅Π½ΠΈΠΈ ΡΡΡΡΠΊΡΡΡΠ½ΠΎΠΉ ΠΈΠ·Π±ΡΡΠΎΡΠ½ΠΎΡΡΠΈ Π΄ΠΎΡΡΠΈΠ³Π°Π΅ΡΡΡ Π·Π° ΡΡΠ΅Ρ ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΡΠ»ΠΎΠΆΠ½ΠΎΡΡΠΈ ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅Π°Π»ΠΈΠ·Π°ΡΠΈΠΈ Π±Π»ΠΎΠΊΠ° ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΠΎΠΉ Π»ΠΎΠ³ΠΈΠΊΠΈ ΠΈ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΡ Π±ΠΎΠ»Π΅Π΅ ΠΏΡΠΎΡΡΡΡ
ΠΏΠΎ ΡΠ²ΠΎΠΈΠΌ ΡΡΡΡΠΊΡΡΡΠ°ΠΌ ΡΠ΅ΡΡΠ΅ΡΠΎΠ², ΡΠ΅ΠΌ ΠΊΠΎΠΌΠΏΠ°ΡΠ°ΡΠΎΡ Π² ΡΠΈΡΡΠ΅ΠΌΠ΅ Π΄ΡΠ±Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ. ΠΡΠ΅Π΄Π»Π°Π³Π°Π΅ΡΡΡ ΡΠΏΠΎΡΠΎΠ± ΠΎΡΠ³Π°Π½ΠΈΠ·Π°ΡΠΈΠΈ ΡΡ
Π΅ΠΌΡ Π²ΡΡΡΠΎΠ΅Π½Π½ΠΎΠ³ΠΎ ΠΊΠΎΠ½ΡΡΠΎΠ»Ρ, ΠΎΡΠ½ΠΎΠ²Π°Π½Π½ΡΠΉ Π½Π° Π΄ΠΎΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠΈ Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ ΠΊΠΎΠ½ΡΡΠΎΠ»ΡΠ½ΡΡ
ΡΡΠ½ΠΊΡΠΈΠΉ Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ ΡΠ΅ΡΡΠΈΡΡΠ΅ΠΌΠΎΡΡΠΈ ΡΠ»Π΅ΠΌΠ΅Π½ΡΠΎΠ² ΡΠ»ΠΎΠΆΠ΅Π½ΠΈΡ ΠΏΠΎ ΠΌΠΎΠ΄ΡΠ»Ρ Π΄Π²Π° Π² Π±Π»ΠΎΠΊΠ΅ Π»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π΄ΠΎΠΏΠΎΠ»Π½Π΅Π½ΠΈΡ ΠΈ ΡΠ΅ΡΡΠ΅ΡΠ° ΠΊΠΎΠ΄Π° Β«2 ΠΈΠ· 4Β»
Sum code family formation method with undetectable error minimum in data vectors
The research results of the methods for formation of separable sum codes with the minimum number of undetectable errors in data vectors are presented. A formula for counting the number of undetectable errors in data vectors and codes family properties are given. A universal method for formation of such codes is shown, which makes it possible for each value of the data vector length to obtain a whole family of codes that also have different distributions of undetectable errors by type and multiplicity. An example of codes formation, methods for analyzing characteristics, code comparison are presented. A method for synthesizing coders of developed sum codes is suggested
Signal correction for combinational automation devices on the basis of Boolean complement with control of calculations by parity
Simpler than known structure of the system with error correction in calculations is proposed based on duplication and triplication of blocks with majority principle of choosing the values of signals. It is advisable to use the new fault-tolerant structure for automation devices with combinational logic. In fault-tolerant structure synthesis, the parity method is used to establish the fact of a fault in the main logic unit and the logical complement method is used determine incorrectly calculated output functions and to generate signals for their correction. The method also allows to adjust the values of incorrectly calculated functions. Structural diagram and description of error correction system are given. The synthesis algorithm of control equipment is described with minimization of the technical implementation complexity. The experiment results with control combinational circuits are given, confirming the high efficiency of proposed system structure with error correction
The self-checking integrated control circuits synthesis based on the boolean complement method to "2-out-of-4" constant-weight code
The article explores the peculiarities of self-checking integrated control circuits synthesis by the Boolean complement method based on the "2-out-of-4'' constant-weight code. The article describes the features of integrated control circuits implementation by the Boolean complement method. It is noted that it is possible to synthesize the structures of discrete devices, which have less structural redundancy than in situation of the control circuit implementation by the method of duplication. The effect in structural redundancy reducing is achieved by minimizing the complexity of the control logic block technical implementation and using checkers that are simpler in their structures than the comparator in the system of duplication. The article proposes a method of the integrated control circuit organization based on determining the values of control functions taking into account the maintenance of testability of elements of addition by modulo two in the Boolean complement block and the checker of the "2-out-of-4" code
THE PHI-PI(+) OMEGA-PI(+) RATIO FROM (N)OVER-BAR-P ANNIHILATIONS
A preliminary study of up three-prong annihilations into the channels K- K+ pi(+) and pi(-)pi(+)pi(+)pi(0) is presented for similar to 100-297 MeV/c () over bar n beam, the OZI rule is strongly violated. RI Galli, Domenico/A-1606-2012; Iazzi, Felice/F-4490-2012; Villa, Mauro/C-9883-2009; Filippi, Alessandra/I-9530-201