• Jerry M. Mendel
Part of the Signal Processing and Digital Filtering book series (SIGNAL PROCESS)


Convolution is by far the most important operation that describes the behavior of a linear time-invariant (LTI) dynamical system. It is the operation of convolution that tells us how to compute the output of a LTI system from its input and impulse response (IR), i.e.,
$$ {\text{output = input*IR}} $$
where * denotes the mathematical operation of convolution. Convolution is associated with the “forward problem” of generating the responce of a LTI system from known values of its input and IR.


Impulse Response Delta Function Random Number Generator Measured Output Seismic Source 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag New York Inc. 1990

Authors and Affiliations

  • Jerry M. Mendel
    • 1
  1. 1.Department of Electrical Engineering-SystemsUniversity of Southern CaliforniaLos AngelesUSA

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