Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems. The first method generalizes the Levy identification method from the integ...Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems. The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems. Then, the weighted iteration method is presented to overcome the shortcomings of the first method. Results show that the proposed methods have better performance compared with the integer order identification method. For the non-integer order systems, the proposed methods have the better fitting for the system frequency response. For the integer order system, if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response. At the same time, the proposed algorithms are more stable.展开更多
A digital watermark as a means for copyright protection may be crippled when a fake mark is embedded on top of it since both watermarks are detectable. In dealing with this problem, a watermarking scheme that does not...A digital watermark as a means for copyright protection may be crippled when a fake mark is embedded on top of it since both watermarks are detectable. In dealing with this problem, a watermarking scheme that does not satisfy the law of commutation is proposed. In this scheme, an order function based on an arithmetic mechanism is employed to identify the embedding order without affecting detection of the regular watermark. An earlier watermark corresponds to a larger value of the order function. In this way, the embedding order or watermarks can be identified according to the order function.展开更多
In this paper, we consider a multiple regression model in the presence of serial correlation and heteroscedasticity. We establish the convergence rate of an efficient estimation of autoregressive coefficients suggeste...In this paper, we consider a multiple regression model in the presence of serial correlation and heteroscedasticity. We establish the convergence rate of an efficient estimation of autoregressive coefficients suggested by Harvey and Robison (1988). We propose a method to identify order of serial correlation data and prove that it is of strong consistency. The simulation reports show that the method of identifying order is available.展开更多
文摘Two new methods, the generalized Levy method and the weighted iteration method, are presented for identification of non-integer order systems. The first method generalizes the Levy identification method from the integer order systems to the non-integer order systems. Then, the weighted iteration method is presented to overcome the shortcomings of the first method. Results show that the proposed methods have better performance compared with the integer order identification method. For the non-integer order systems, the proposed methods have the better fitting for the system frequency response. For the integer order system, if commensurate order scanning is applied, the proposed methods can also achieve the best integer order model which fits the system frequency response. At the same time, the proposed algorithms are more stable.
文摘A digital watermark as a means for copyright protection may be crippled when a fake mark is embedded on top of it since both watermarks are detectable. In dealing with this problem, a watermarking scheme that does not satisfy the law of commutation is proposed. In this scheme, an order function based on an arithmetic mechanism is employed to identify the embedding order without affecting detection of the regular watermark. An earlier watermark corresponds to a larger value of the order function. In this way, the embedding order or watermarks can be identified according to the order function.
文摘In this paper, we consider a multiple regression model in the presence of serial correlation and heteroscedasticity. We establish the convergence rate of an efficient estimation of autoregressive coefficients suggested by Harvey and Robison (1988). We propose a method to identify order of serial correlation data and prove that it is of strong consistency. The simulation reports show that the method of identifying order is available.
