Hamzeh B. Methods of construction and decoding of generalized concatenated codes reduced complexity

A research object is processes of reduction of complicationof the antijamming encoding and decoding generalizedcascade кодами in a frequency area. A research aim isreduction of complication of the antijamming encoding anddecoding of discrete reports in the telecommunicationsystems and networks due to the use of method ofpresentation of cascade kodas in a frequency area.Research methods are methods of algebraic theory ofkodas, theory of the antijamming encoding, theory of theeventual fields of Galois, theory of numbers and theory ofdigital treatment of signals, theory of digital automata andtheory of complication. Scientific novelty: 1.First gotmathematical vehicle of multidimensional transformationsof Fourier above the eventual fields, that allows to investigatealgebraic and spectral properties of code words of thegeneralized cascade kodas in a frequency area. 2. The method of presentation of the generalized cascadekodas is first worked out in a frequency area, that, unlikeother, allows to describe cascade коды in a frequency areaand bind the spectrum of code word of the external stage tothe code word of cascade koda ( and / or by his spectrum)as simple analytical expressions. A method gives anopportunity of construction of code words of cascade koda ina frequency area through the corresponding components ofspectrum of code word of the external stage. 3. The methodsof the antijamming encoding and decoding are first workedout by generalized cascade кодами, that promote calculableefficiency of the antijamming encoding and decoding ofdiscrete reports in the telecommunication systems andnetworks due to the simultaneous use of both cascade codeconstructions and calculable procedures in a frequencyarea. Practical results: 1.The computational algorithms ofencoding are worked out generalized cascade кодами in afrequency area, calculable efficiency of that due to the use ofspectral description of the generalized cascade kodaswithout the decline of koda rises in 1,5-2 times. 2. Thecomputational algorithms of decoding of the generalizedcascade kodas are worked out in a spectral region, that dueto application of algorithms of the discrete Fourier transformabove eventual the fields of Galois and a transfer in thefrequency area of the basic stages of discovery andcorrection of errors in the accepted code word is promotedcalculable efficiency in 2-4 times. 3. Practical recommendations are worked out on the use ofthe worked out computational algorithms, for the ground ofthat the flow diagrams of devices of encoding and decodingare worked out by an antijamming code, their programmatic realization.