报告题目:Fractional Calculus and Its Applications in Modeling and Signal Processing
报告人:Prof. YangQuan Chen(EECS/Mechanical Engineering,University of California at Merced)
报告时间:2016年7月15日上午10:00开始
报告地点:A18-705
主办单位:国际交流合作处、航空宇航学院、科协
ABSTRACT:
Fractional calculus (FC) is about differentiation and integration of non-integer orders. Modeling using a non-integer order dynamic model will be introduced in this talk first followed by fractional order signal processing techniques. We will first show a heat transfer textbook problem that can be modelled using fractional order model with much better performance than its integer order counterpart under fairness comparison. Then an fMNR T2 relaxation example is considered using various fractional order models. Both parameter-distributed fractional relaxation model and distributed-order relaxation model are discussed. In fractional order signal processing techniques, we will briefly cover the fractional Fourier transform and infinite variance processes. An example is presented on quantification of bacteria chemotaxis behavior using video microscopy data. Another example is about the spiky and random network delays which can be handled by techniques related to fractional calculus. This talk ends with remarks on a rule of thumb on when to use fractional calculus based tools for modeling and signal processing.
References:
[1] Zhuang Jiao+, YangQuan Chen* and Igor Podlubny. “Distributed-Order Dynamic Systems: Stability, Simulation, Applications and Perspectives” SpringerBrief, Springer-Verlag, Feb. 2012, 103 pages, ISBN-13: 978-1447128519http://www.springer.com/engineering/control/book/978-1-4471-2851-9
[2] Sheng, Hu+, Chen, YangQuan* and Qiu, TianShuang. “Fractional Processes and Fractional-Order Signal Processing” Springer. Series: Signals and Communication Technology, 2012. 295 pages. ISBN 978-1-4471-2232-6 http://www.springer.com/engineering/signals/book/978-1-4471-2232-6