A Novel Design Architecture Reduced

In this paper, a new concept about secure communication system is introduced and a novel secure communication design with reduced linear receiver is developed to guarantee the global exponential stability of the resulting error signals. Besides, the guaranteed exponential convergence rate of the proposed secure communication system can be correctly calculated. Finally, some numerical simulations are given to demonstrate the feasibility and effectiveness of the obtained results.

In this paper, we will propose a new communication system and a communication system with receiver will be developed resulting error signals can converge to zero in some exponential convergence rate guaranteed exponential convergence rate proposed chaotic secure communication system be accurately estimated. Finally, simulations are proposed to exhibit feasibility of the main results. This paper is organized as follows. The problem formulation and main results 2. Several numerical simulations are 3 to illustrate the main result. Finally, remarks are drawn in Section paper, n ℜ denotes the n-dimensional Euclidean space, denotes the Euclidean norm of the vector x, and a denotes the number a.

PROBLEM FORMULATION AND MAIN RESULTS
In this paper, we develop the following communication system with simple linear receiver and its block diagram is shown in Figure 1.

Transmitter:
( ) ( ) ( ), is the signal recovered from N q ∈ . It is noted that the chaotic Sprott B the special case of the system (1) with In the sequel, we adopt the same parameters of the chaotic Sprott B . Apparently, a good secure communication system means that we can recover the message in the receiver system; i.e., the error vector can converge to zero in some sense.
Before presenting the main result, let us introduce a definition which will be used in the main theorem In this case, the positive number α exponential convergence rate. Now we present the main results communication system of (1) with (2).

Theorem 1:
The system (1) with (2) is a secure communication system with exponential convergence type.
Besides, the guaranteed convergence rate is given by  (1) with . In the sequel, we adopt the chaotic Sprott B system with , a good secure communication system means that we can recover the message ( ) t m 1 in the receiver system; i.e., the error vector can converge to zero in some sense.
let us introduce a which will be used in the main theorem.
The system (1) with (2) From (1)-(4), it is easy to see that Thus, it can be readily obtained that ), it is easy to see that . (5) t can be readily obtained that This completes the proof.
International Journal of Trend in Scientific Research and Development (IJTSRD) ISSN: 2456 @ IJTSRD | Available Online @ www.ijtsrd.com Remark 1: It should be emphasized that receiver of (2) is linear and with lower dimens than that of the transmitter. Consequently proposed receiver of (2) has the superiorities price and easy implementation by electronic circuit

NUMERICAL SIMULATIONS
Consider the novel secure communication system of (1)-(2) with

CONCLUSION
In this paper, a new concept about secure communication system has been introduced and a novel secure communication design with order linear receiver has been developed to guarantee the global exponential stability of the resulting error signals. Meanwhile, the guaranteed exponential convergence rate of the proposed secure communication system can be correctly calculated. Finally, some numerical simulations have been offered to show the feasibility and effectiveness of the obtained results.

ACKNOWLEDGEMENT
The author thanks the Ministry of Science and Technology of Republic of China for supporting work under grants MOST 106-2221 MOST 106-2813-C-214-025-E, and MOST E-214-030. Besides, the author is grateful to Professor Jer-Guang Hsieh for the useful  Figure 4, that the real seconds.
In this paper, a new concept about secure communication system has been introduced and a cation design with reducedhas been developed to guarantee the global exponential stability of the resulting error signals. Meanwhile, the guaranteed exponential convergence rate of the proposed secure ectly calculated. Finally, some numerical simulations have been offered to show the feasibility and effectiveness of the Ministry of Science and of Republic of China for supporting this 2221-E-214-007, , and MOST 107-2221grateful to Chair for the useful comments.  Real message of ( ) t m 1 described in the transmitter of (1).
Recoverd message of ( ) t m 2 described in the receiver of (2).