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Linear periodically time-varying discrete-time systems: Aliasing and LTI approximations |
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| Authors: | Tongwen Chen Li Qiu |
| Affiliation: | a Department of Electrical and Computer Engineering, University of Calgary, Calgary, Alberta, Canada T2N 1N4 b Department of Electrical and Electronic Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong |
| Abstract: | Linear periodically time-varying (LPTV) systems are abundant in control and signal processing; examples include multirate sampled-data control systems and multirate filter-bank systems. In this paper, several ways are proposed to quantify aliasing effect in discrete-time LPTV systems; these are associated with optimal time-invariant approximations of LPTV systems using operator norms. |
| Keywords: | Periodic systems Multirate systems Optimization Aliasing Discrete-time systems |
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