The Choices of the Remote-Control Commanding Code Set of the Pseudo Random

Abstract

In this paper, it is described that all of these pseudo-random sequences with Baumert- Wang-Welch's tow limits can be used to construct remote-control commanding codes; some general conclusions are got, a general formula of maximum fault tolerant number of this kind of code set is given. It is proved that the code set of command, which all of this equivalent translating sequences of a pseudorandom sequence with Baumert-Wang- Welch's low limit construct, is an optimal "Cyclic" code set oil interference-free performance. In particular, these equivalent translating sequences of a sequence with period p = 3 mod4, auto-correlation limit & = -1, construct an optimal code set. It's given that the full essential condition of which a sequence and its inverse sequence together with their equivalent translating sequences can be used to construct remote-control command code set is that the peak value of the absolute values of out of phase periodic autocorrelation of the sequence is little. It is pointed that this constructing way makes coding more effective, easy to carry out, and there are many suitable sequences that can be broadly seleted. In the cases where a high level of interference-free function is required in a remote control system, we usually enforce the commanding into interference-free coding, so that it will posses certain fault-tolerance. The coding and decoding circuits should be simple in equipment and easy to realise. But the efficiency of coding may be quite low. According to the requirements and characteristics, the principles of using the equivalent translating squences m as the remote-control commanding code set, its realization and characteristics are described [1] [2]. A scheme of realising the remote-control commanding by using the sequence m and its inverse-sequence is given [6]. In this paper from the more general point of view, the possibility and the general result of all the pseudo-random sequence reached Baument-Wang-Welch's inferior limit that is used in remote control commanding code is discussed. The Condition which one sequence and the equivalent translating sequence of its inverse sequence can be used together as the command-code set is given.