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MathGroup Archive 2004

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Re: Re: Re: Finding the Fourier transform of discrete functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52616] Re: [mg52582] Re: Re: Finding the Fourier transform of discrete functions
  • From: DrBob <drbob at bigfoot.com>
  • Date: Sat, 4 Dec 2004 04:07:55 -0500 (EST)
  • References: <cohi1d$1fh$1@smc.vnet.net> <200412011057.FAA19902@smc.vnet.net> <comgk7$7a2$1@smc.vnet.net> <200412030853.DAA26040@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

No, I think x_Integer is discrete.

Obviously.

Bobby

On Fri, 3 Dec 2004 03:53:37 -0500 (EST), Jens-Peer Kuska <kuska at informatik.uni-leipzig.de> wrote:

> Hi,
>
> and you think that 1<=x<12 is discret, and not a infinite number
> of continuous values ?? Strange !
>
> Regards
>   Jens
>
> "DrBob" <drbob at bigfoot.com> schrieb im Newsbeitrag
> news:comgk7$7a2$1 at smc.vnet.net...
>>>> what is a "discrete function".
>>>> if it is a function, the parameter is continuous and FourierTransform[]
>>>> compute the transformation.
>>
>> A discrete function is a function with a discrete domain.
>>
>> For instance, this is a discrete function on the obvious domain:
>>
>> f[x_Integer]/;1<=x<=12 = Sin@x
>>
>> It is NOT the Sin function, for the simple reason that the domain of a
>> function (in math or mathematica) is part of its definition.
>>
>> Bobby
>>
>> On Wed, 1 Dec 2004 05:57:38 -0500 (EST), Jens-Peer Kuska
>> <kuska at informatik.uni-leipzig.de> wrote:
>>
>>> Hi,
>>>
>>> what is a "discrete function". If it is discrete you have a array of
>>> discrete data and Fourier[] compute the DFT of the array, if it is
>>> a function, the parameter is continuous and FourierTransform[]
>>> compute the transformation.
>>>
>>> Regards
>>>   Jens
>>>
>>>
>>> "Luca" <luca at nospam.it> schrieb im Newsbeitrag
>>> news:cohi1d$1fh$1 at smc.vnet.net...
>>>> I found out it's possible to determine the Fourier transform of a
>>>> function. I tried to look for the discrete fourier transform in the
>>>> guide, but I can find the item in the list without any explaination of
>>>> the function. Is it possible to find the Fourier transform of a
>>>> discrete function?
>>>> Thanks to everyone.
>>>>
>>>> Luca
>>>>
>>>
>>>
>>>
>>>
>>>
>>
>>
>>
>> --
>> DrBob at bigfoot.com
>> www.eclecticdreams.net
>>
>
>
>
>
>



-- 
DrBob at bigfoot.com
www.eclecticdreams.net


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