Vaidyanathan, P. P. (1999) Homogeneous time-invariant systems. IEEE Signal Processing Letters, 6 (4). pp. 76-77. ISSN 1070-9908. doi:10.1109/97.752058. https://resolver.caltech.edu/CaltechAUTHORS:VAIieeespl99
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Abstract
It is well known that linear time-invariant (LTI) systems produce exponential outputs in response to exponential inputs. The purpose of this paper is to draw attention to the fact that the same result holds for the broader class of homogeneous time-invariant (HTI) systems, though the concept of a frequency response is of little use for such systems.
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| Additional Information: | © Copyright 1999 IEEE. Reprinted with permission. Manuscript received September 1, 1998. This work was supported in part by the Office of Naval Research under Grant N00014-93-1-0231. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. R. Shenoy. The observations presented here came out of the author’s teaching experience at California Institute of Technology, especially basic courses in signals and systems. In this regard, very insightful discussions with Prof. J. Franklin are gratefully acknowledged, as are the discussions with graduate students M. Mandel and M. Mese. | ||||||
| Subject Keywords: | Exponentials, homogeneous time-invariant, linear time-invariant | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.1109/97.752058 | ||||||
| Record Number: | CaltechAUTHORS:VAIieeespl99 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:VAIieeespl99 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 5462 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 18 Oct 2006 | ||||||
| Last Modified: | 08 Nov 2021 20:25 |
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