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![]() | The contents of the Discrete-time signal page were merged into Discrete time and continuous time on 2018-06-13 and it now redirects there. For the contribution history and old versions of the merged article please see its history. |
Should this page link to isochronous signal for the uniform sampling rate case? And can we say anything else about the nonuniform sampling rate case?
MusicScience 04:08, 12 June 2007 (UTC)
Discrete signal and discrete time are largely covering the same subject. I have no preference on what the combined article should be called, but the latter article is unreferenced and a large part of it consists of an example we could probably just drop. Spinning Spark 15:48, 8 June 2013 (UTC)
That section says:
Uniformly sampled discrete-time signals can be expressed as the time-domain multiplication between a pulse train and a continuous time signal. This time-domain multiplication is equivalent to a convolution in the frequency domain. Practically, this means that a signal must be bandlimited to less than half the sampling frequency, i.e. Fs/2 - ε, in order to prevent aliasing.
Some important omissions are:
Then it asserts:
Likewise, all non-linear operations performed on discrete-time signals must be bandlimited to Fs/2 - ε. Wagner's book Analytical Transients proves why equality is not permissible. [1]
Help... I'm hard-pressed to think of any non-linear operation that is bandlimited.
No need to search the archives for a 55-year-old proof. It's a simple argument, found at Shannon_sampling_theorem#Critical_frequency.
-- Bob K ( talk) 19:41, 4 December 2013 (UTC)
I have removed the following uncited sentence from the lead:
In other words, it is a time series that is a function over a domain of integers.
If someone can explain what it means and demonstrate that definition is correct, we'll restore it. ~ Kvng ( talk) 12:35, 12 June 2017 (UTC)
![]() | This redirect does not require a rating on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | |||||||||||||||||||||
|
![]() | The contents of the Discrete-time signal page were merged into Discrete time and continuous time on 2018-06-13 and it now redirects there. For the contribution history and old versions of the merged article please see its history. |
Should this page link to isochronous signal for the uniform sampling rate case? And can we say anything else about the nonuniform sampling rate case?
MusicScience 04:08, 12 June 2007 (UTC)
Discrete signal and discrete time are largely covering the same subject. I have no preference on what the combined article should be called, but the latter article is unreferenced and a large part of it consists of an example we could probably just drop. Spinning Spark 15:48, 8 June 2013 (UTC)
That section says:
Uniformly sampled discrete-time signals can be expressed as the time-domain multiplication between a pulse train and a continuous time signal. This time-domain multiplication is equivalent to a convolution in the frequency domain. Practically, this means that a signal must be bandlimited to less than half the sampling frequency, i.e. Fs/2 - ε, in order to prevent aliasing.
Some important omissions are:
Then it asserts:
Likewise, all non-linear operations performed on discrete-time signals must be bandlimited to Fs/2 - ε. Wagner's book Analytical Transients proves why equality is not permissible. [1]
Help... I'm hard-pressed to think of any non-linear operation that is bandlimited.
No need to search the archives for a 55-year-old proof. It's a simple argument, found at Shannon_sampling_theorem#Critical_frequency.
-- Bob K ( talk) 19:41, 4 December 2013 (UTC)
I have removed the following uncited sentence from the lead:
In other words, it is a time series that is a function over a domain of integers.
If someone can explain what it means and demonstrate that definition is correct, we'll restore it. ~ Kvng ( talk) 12:35, 12 June 2017 (UTC)