Design of Ternary Codes for Various Lengths using MSAA

Abstract

radar, communication to extend the range resolution. Sequences with good discriminating and merit factor are useful for channel estimation, radar and spread spectrum communication application. Binary sequence has the limitation that the compression ratio is small. Ternary alphabets are suggested as an alternative. The design of ternary codes with good merit factor and discriminating factor can be considered as a nonlinear multivariable mathematical problem which is difficult find a optimal solution. To get the solution for the this problem many global optimization algorithms like Simulated Annealing Algorithm(SA), Genetic Algorithm (GA), Tunneling algorithm (TA) and particle swarm optimization algorithm (PSO) could be used.Further a set of pulse compression sequence are required for spread spectrum and CDMA application such that the individual autocorrelation function of each sequence is like an impulse and the cross correlation between any two sequences in the set must be zero for all lags unfortunately.In this paper, it is proposed to use a new method of algorithm for the design of best ternary codes sets for various lengths by using Modified Simulated Annealing Algorithm. The general features such as global convergence and robustness of the statistical algorithm are revealed.