Title :
Homogeneous time-invariant systems
Author :
Vaidyanathan, P.P.
Author_Institution :
Dept. of Electr. Eng., California Inst. of Technol., Pasadena, CA, USA
fDate :
4/1/1999 12:00:00 AM
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.
Keywords :
convolution; exponential distribution; frequency response; linear systems; LTI systems; convolution; exponential inputs; exponential outputs; frequency response; homogeneous time-invariant systems; linear time-invariant systems; Convolution; Frequency response; Linear systems; Transfer functions;
Journal_Title :
Signal Processing Letters, IEEE