The investigation of novel signal processing tools is one of the hottest research topics in modern signal processing community. Among them, the algebraic and geometric signal processing methods are the most powerful t...The investigation of novel signal processing tools is one of the hottest research topics in modern signal processing community. Among them, the algebraic and geometric signal processing methods are the most powerful tools for the representation of the classical signal processing method. In this paper, we provide an overview of recent contributions to the algebraic and geometric signal processing. Specifically, the paper focuses on the mathematical structures behind the signal processing by emphasizing the algebraic and geometric structure of signal processing. The two major topics are discussed. First, the classical signal processing concepts are related to the algebraic structures, and the recent results associated with the algebraic signal processing theory are introduced. Second, the recent progress of the geometric signal and information processing representations associated with the geometric structure are discussed. From these discussions, it is concluded that the research on the algebraic and geometric structure of signal processing can help the researchers to understand the signal processing tools deeply, and also help us to find novel signal processing methods in signal processing community. Its practical applications are expected to grow significantly in years to come, given that the algebraic and geometric structure of signal processing offer many advantages over the traditional signal processing.展开更多
In this paper, we propose the multi-living agent (MLA) concept based on the of analysis the characteristics of complex information systems, especially those systems that require multi-functional operations under str...In this paper, we propose the multi-living agent (MLA) concept based on the of analysis the characteristics of complex information systems, especially those systems that require multi-functional operations under strict restraint strong countermeasures (SRSC) environment. First, we investigate the representation of the livelihood of the system under the SRSC conditions, and obtain the basic dynamical presentation of the MLA from the profile of the system's function. Next, we propose the concept of the living self-organization based on the self-organization profile of the system, and derive a Two-Set model of the living self-organization mechanism. Further, based on the above results, we present a basic construction model of MLA-based information systems in the field of information security and countermeasures. A three-level negotiation-coordination mechanism is also derived. Finally, we present two practical examples to show how to use the MLA concept to analyze and study real complex information systems. In our opinion, the proposal of the MLA will bridge the gap between the research of the application and the basic application level of science. It provides the principle research methods and the supporting theories for the construction and analysis of complex information systems in the information security and countermeasures field.展开更多
基金Sponsored by Program for Changjiang Scholars and Innovative Research Team in University ( IRT1005 )the National Natural Science Founda-tions of China ( 61171195 and 61179031)Program for New Century Excellent Talents in University ( NCET-12-0042)
文摘The investigation of novel signal processing tools is one of the hottest research topics in modern signal processing community. Among them, the algebraic and geometric signal processing methods are the most powerful tools for the representation of the classical signal processing method. In this paper, we provide an overview of recent contributions to the algebraic and geometric signal processing. Specifically, the paper focuses on the mathematical structures behind the signal processing by emphasizing the algebraic and geometric structure of signal processing. The two major topics are discussed. First, the classical signal processing concepts are related to the algebraic structures, and the recent results associated with the algebraic signal processing theory are introduced. Second, the recent progress of the geometric signal and information processing representations associated with the geometric structure are discussed. From these discussions, it is concluded that the research on the algebraic and geometric structure of signal processing can help the researchers to understand the signal processing tools deeply, and also help us to find novel signal processing methods in signal processing community. Its practical applications are expected to grow significantly in years to come, given that the algebraic and geometric structure of signal processing offer many advantages over the traditional signal processing.
基金Supported by the Ministerial Foundation of China (Grant No. A2220060039)
文摘In this paper, we propose the multi-living agent (MLA) concept based on the of analysis the characteristics of complex information systems, especially those systems that require multi-functional operations under strict restraint strong countermeasures (SRSC) environment. First, we investigate the representation of the livelihood of the system under the SRSC conditions, and obtain the basic dynamical presentation of the MLA from the profile of the system's function. Next, we propose the concept of the living self-organization based on the self-organization profile of the system, and derive a Two-Set model of the living self-organization mechanism. Further, based on the above results, we present a basic construction model of MLA-based information systems in the field of information security and countermeasures. A three-level negotiation-coordination mechanism is also derived. Finally, we present two practical examples to show how to use the MLA concept to analyze and study real complex information systems. In our opinion, the proposal of the MLA will bridge the gap between the research of the application and the basic application level of science. It provides the principle research methods and the supporting theories for the construction and analysis of complex information systems in the information security and countermeasures field.