Frequency Responses for Sampled-Data Systems - Their Equivalence and Relationships
نویسندگان
چکیده
There are two ways to introduce the notion of frequency response for sampled-data systems. One is based on the so-called lifting, and the other based on an interpretation of steady-state response in terms of impulse modulation. This paper proves the equivalence of these two notions; in particular, it establishes a more direct link of the second approach to the H” norm, and also provides the first approach with a natural interpretation of steady-state response as an infinite sum of sinusoidal signals. This study also leads to a comprehensive account of impulse modulation from the lifting viewpoint. *This author is supported in part by the Tat&hi Science and Technology Foundation. LINEAR ALGEBRA AND ITS APPLICATIONS 205-206:1319-1339 (1994) 1319 0 Elsevier Science Inc., 1994 655 Avenue of the Americas, New York, NY 10010 0024.3795/94/$7.0
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