The Equivalence of Digital and Analog Signal Processing

@article{Steiglitz1965TheEO,
  title={The Equivalence of Digital and Analog Signal Processing},
  author={Kenneth Steiglitz},
  journal={Information and Control},
  year={1965},
  volume={8},
  pages={455-467}
}
A specific isomorphism is constructed via the trallsform domaiIls between the analog signal space L2 (00, 00) and the digital signal space [2. It is then shown that the class of linear time-invariaIlt realizable filters is illvariallt under this isomorphism, thus demoIlstratillg that the theories of processing signals with such filters are identical in the digital and analog cases. This means that optimi zatioll problems illvolving linear time-illvariant realizable filters and quadratic cost… CONTINUE READING

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