Khomych S. Efficient of the timer signals in I-retransmission systems

The dissertation discusses data transmission over discrete non-stable channels based on timer signals. The main goal was to improve methods of asynchronous simplex system data transmitting using timer signals and I-retranssmition. This was accomplished by I-retransmitting data while measuring relative transition rate and estimated reduction in interval delay and to evaluate the efficiency of applying timer signals. Ease of implementation was also a consideration when conducting this study. This paper evaluates how much capacity is lost by using asynchronous simplex system for data transmission through a non-stable channels. It was defined the characteristics of the signal construction distortion in the different states of non-stable channel. It was suggested measuring the impact different states of non-stable channel make on capacity loss. It was described mathematically the relationship between single and dual function of capacity loss for non-stable channel with two state and probability of both error in each state of the channel and weight of channel state while number of words being transmitted channel alphabet is unchanged. Relationship between capacity and length of the code word, and base element to Nyquist's element ratio for different base elements has been described for discreet channels in differing states, as well as the influence of each state, signal to interference ratio in each interval and probability of error in reception. It was analyzed the efficiency of and suggested that improvements to discreet channel states' identifiers can be made by controlling the number of data elements being transmitted over a certain time period. Improvements have been made to mathematical 'quality' equation model of error correction during timed data transmissions by proposing a new formula that calculates coefficients for the 'quality' equation necessary to correct signal related interference induced error. Substantiation has been provided for diminishing probability of error in binary channel both for stipulated alphabet and for timer signal construction code words with constant of 3 data elements (three-dimensional transmission). Equations have been formulated to describe superiority of timer signals systems over binary systems and error probability in timed signals systems with constant data parameters in code word intervals in 'good' channel state with one delta displacement and data element number of k. It was tested proposed transmission algorithms, and compared statistical results of excessive redundancy code and timed code use. The results show that the proposed method of I-retransmitting data (I=2) for asynchronous simplex systems based on timer signal transmissions through non-stable discreet channels are capable of transmission speed of R=0,6 with delay of 29.2 Nyquist's elements and of diminishing error by almost 5 for analyzed channel type with two states.