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Q&A Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?

Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"? Rounding (down, or up, or to the nearest integer) is he mathematical process which discreti...

posted 3y ago by Nick Alexeev‭  ·  edited 3y ago by Nick Alexeev‭

Answer
#3: Post edited by user avatar Nick Alexeev‭ · 2021-08-02T02:21:13Z (over 3 years ago)
  • > Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?
  • Rounding (down, or up, or to the nearest integer) is he mathematical process which discretizes value.
  • Multiplication by the [Ш-function (Dirac comb)](https://en.wikipedia.org/wiki/Dirac_comb) discretizes time.
  • > There is no such thing as digital signal. There is only digital information imposed on an analog signal. "Digital signal" is just a shorthand. [Prof. Donald Cox]
  • > Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?
  • Rounding (down, or up, or to the nearest integer) is he mathematical process which discretizes value.
  • Multiplication by the [Ш-function (Dirac comb)](https://en.wikipedia.org/wiki/Dirac_comb) discretizes time.
  • > I always had trouble understanding the terms "digital" and "analog"...
  • I'll can reply with a quote from a lecture by Prof. Donald Cox :
  • > There is no such thing as digital signal. There is only digital information imposed on an analog signal. "Digital signal" is just a shorthand.
#2: Post edited by user avatar Nick Alexeev‭ · 2021-08-02T02:16:41Z (over 3 years ago)
  • > Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?
  • Rounding (down, or up, or to the nearest integer) is he mathematical process which discretizes value.
  • Multiplication by the [Ш-function (Dirac comb)](https://en.wikipedia.org/wiki/Dirac_comb) discretizes time.
  • > Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?
  • Rounding (down, or up, or to the nearest integer) is he mathematical process which discretizes value.
  • Multiplication by the [Ш-function (Dirac comb)](https://en.wikipedia.org/wiki/Dirac_comb) discretizes time.
  • > There is no such thing as digital signal. There is only digital information imposed on an analog signal. "Digital signal" is just a shorthand. [Prof. Donald Cox]
#1: Initial revision by user avatar Nick Alexeev‭ · 2021-07-26T22:23:36Z (over 3 years ago)
> Is there a mathematical process resembling the terms "digital"/"discrete" and "analog"/"continuous"?

Rounding (down, or up, or to the nearest integer) is he mathematical process which discretizes value.

Multiplication by the [Ш-function (Dirac comb)](https://en.wikipedia.org/wiki/Dirac_comb) discretizes time.