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The definition is not correct. The expression
looks wrong: The left hand side depends on while the right hand side does not. In addition, the right hand side depends on while the left hand side does not. Please, specify set of values of and , at which the equality takes place. I suspect, such a set has measure zero. dima ( talk) 08:43, 16 June 2009 (UTC)
Wiki is supposed to be understandable for the people without background. If one goes to wiki, it is usually because one needs to get this background. The appearence of argument in the right hand side looks just as a contradiction to the very basic concepts of mathematical function, although I believe it is a tradition to write such senseless letter among the specialists who work in this area. The correct expression for the first line might have form
under assumption that is function such that . dima ( talk) 06:24, 19 June 2009 (UTC)
The process of eliminating negative frequencies from a signal is more general, and also applies to complex valued signals. I believe the article could be more general, since currently it explicitly says the pre-analytic signal should be real. -Roger ( talk) 19:12, 28 May 2010 (UTC)
Small edit: To me, "former" and "latter" is confusing in the first paragraph. It would be clearer to rewrite the sentence in a way that states directly what former and latter reference. Since I came to this article to understand what an analytic signal is, I can't suggest how it should be rewritten.
A small number of messy posts prior to 2009.
I was wondering why this page highlights the wrong title phrase at the outset of the lead.
It does seem on a Google search that the present title better discriminates. But then it's odd the text focuses instead on the title not used. — MaxEnt 09:30, 7 April 2014 (UTC)
There is an additional possibility for illustrating a similar operation for envelope determination and that is in the application where a passband is not encountered. For example instead of the 'center of the desired passband' which may be confusing to some students, especially those not in EE, one could introduce the fairly simple concept of spectrum centroid of an analytic signal, without reference to filtering or another class of signals (passband signals). This is especially easy with analytic signals, as the same concept in real signals would require the second moment visualization, which is a disadvantage of real signals. In an operation of baseband determination along these lines, inputs to a multiplicator would include the analytic signal and a sinusoid equivalent to its spectrum centroid. In a paper I'm writing I don't have the freedom to employ analytic signals and as such have to refer to the second moment. Groovamos ( talk) 00:18, 14 April 2020 (UTC)
The insertion in question is this:
[The analytic representation] is used to represent a causal signal, that starts at a certain time and propagates as the time evolves, i.e. not backwards in time. This leads to the absence of negative frequencies, which is a side effect, reflecting causality.[2]
The problem, as I see it, is that the analytic representation of any function, causal or not, has an absence of negative frequencies. The association with causality is misleading.
-- Bob K ( talk) 14:09, 12 May 2021 (UTC)
There is no "convolution with the step function". There is multiplication (frequency domain) whose time-domain equivalent is convolution with an infinite, non-causal impulse response. And now you say "An analytic signal is always causal." Nonsense. For instance is analytic and not causal.
"It is unbelievable, how many people make this wrong." -- Count me as a non-believer. You are the one who's wrong.
--
Bob K (
talk) 11:55, 13 May 2021 (UTC)
"Dont waste your time," -- Exactly... you are not worth it.
--
Bob K (
talk) 14:12, 13 May 2021 (UTC)
![]() | This article is rated C-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
The definition is not correct. The expression
looks wrong: The left hand side depends on while the right hand side does not. In addition, the right hand side depends on while the left hand side does not. Please, specify set of values of and , at which the equality takes place. I suspect, such a set has measure zero. dima ( talk) 08:43, 16 June 2009 (UTC)
Wiki is supposed to be understandable for the people without background. If one goes to wiki, it is usually because one needs to get this background. The appearence of argument in the right hand side looks just as a contradiction to the very basic concepts of mathematical function, although I believe it is a tradition to write such senseless letter among the specialists who work in this area. The correct expression for the first line might have form
under assumption that is function such that . dima ( talk) 06:24, 19 June 2009 (UTC)
The process of eliminating negative frequencies from a signal is more general, and also applies to complex valued signals. I believe the article could be more general, since currently it explicitly says the pre-analytic signal should be real. -Roger ( talk) 19:12, 28 May 2010 (UTC)
Small edit: To me, "former" and "latter" is confusing in the first paragraph. It would be clearer to rewrite the sentence in a way that states directly what former and latter reference. Since I came to this article to understand what an analytic signal is, I can't suggest how it should be rewritten.
A small number of messy posts prior to 2009.
I was wondering why this page highlights the wrong title phrase at the outset of the lead.
It does seem on a Google search that the present title better discriminates. But then it's odd the text focuses instead on the title not used. — MaxEnt 09:30, 7 April 2014 (UTC)
There is an additional possibility for illustrating a similar operation for envelope determination and that is in the application where a passband is not encountered. For example instead of the 'center of the desired passband' which may be confusing to some students, especially those not in EE, one could introduce the fairly simple concept of spectrum centroid of an analytic signal, without reference to filtering or another class of signals (passband signals). This is especially easy with analytic signals, as the same concept in real signals would require the second moment visualization, which is a disadvantage of real signals. In an operation of baseband determination along these lines, inputs to a multiplicator would include the analytic signal and a sinusoid equivalent to its spectrum centroid. In a paper I'm writing I don't have the freedom to employ analytic signals and as such have to refer to the second moment. Groovamos ( talk) 00:18, 14 April 2020 (UTC)
The insertion in question is this:
[The analytic representation] is used to represent a causal signal, that starts at a certain time and propagates as the time evolves, i.e. not backwards in time. This leads to the absence of negative frequencies, which is a side effect, reflecting causality.[2]
The problem, as I see it, is that the analytic representation of any function, causal or not, has an absence of negative frequencies. The association with causality is misleading.
-- Bob K ( talk) 14:09, 12 May 2021 (UTC)
There is no "convolution with the step function". There is multiplication (frequency domain) whose time-domain equivalent is convolution with an infinite, non-causal impulse response. And now you say "An analytic signal is always causal." Nonsense. For instance is analytic and not causal.
"It is unbelievable, how many people make this wrong." -- Count me as a non-believer. You are the one who's wrong.
--
Bob K (
talk) 11:55, 13 May 2021 (UTC)
"Dont waste your time," -- Exactly... you are not worth it.
--
Bob K (
talk) 14:12, 13 May 2021 (UTC)