Also, I will be able to complete fourier and laplace transforms during the
project (as suggested in the ideas list) , most probably in the first
two-three weeks.
* "generalized functions -- Dirac delta, P(1/x), etc...
Convolution, Fourier and Laplace transforms*
* Fourier and Laplace transforms are
implemented but we can not do many cases involving distributions is
this enough alone for a project though? -Aaron* *"*
Expecting a positive response.
On Mon, Feb 24, 2014 at 3:49 PM, Saket Dewangan <[email protected]> wrote:
> Hey Matt,
> Thanks for a reply. I guess I was getting a little too excited.
>
> I admit signal transforms are typically numerical in nature, but there are
> many problems in digital signal processing (DSP) that can be converted into
> algebraic problems over Laurent and polynomial rings and are generally easy
> to solve with current methods of symbolic computation. Most Real and
> complex-valued data satisfy the mathematical properties of a field. I am
> mostly concentrated on using the method of Gröbner bases as the
> computational tool.
>
> Besides this, there is also a whole different category of symbolic
> signals, which do not rely on any mathematical structure. Symbolic signals
> differ from numeric signals in that symbolic sets have no additional
> mathematical structure. A set of symbols is not a field because algebraic
> operations on symbols are usually not meaningful. For example, addition,
> multiplication, and numeric ordering cannot be performed on
> symbols.Although this is a second part is optional for my project. I am
> mostly focused on symbolic computation and signal processing.
>
> Please let me know what you think about it.
>
> References:
> 1. http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=809533
> 2. http://en.wikipedia.org/wiki/Gr%C3%B6bner_basis
> 3. http://en.wikipedia.org/wiki/Polynomial_ring
>
>
>
> On Sun, Feb 23, 2014 at 11:02 PM, Matthew Rocklin <[email protected]>wrote:
>
>> Hi Saket,
>>
>> Thanks for reaching out. Sorry for not getting back to you the first
>> time; we're all a little busy.
>>
>> I personally find signals processing transforms to be very interesting.
>> I usually think about these from a numerical perspective though, not a
>> symbolic one. Maybe you can describe how signals processing would fit into
>> the rest of SymPy and the symbolic computing world.
>>
>> -Matt
>>
>>
>>
>>
>> On Sun, Feb 23, 2014 at 9:13 AM, Saket Dewangan <[email protected]>wrote:
>>
>>> I was wondering if anyone liked the idea or not. I would be really glad
>>> if Aaron or anyone else would have a say in this.
>>>
>>> Thank you.
>>>
>>>
>>> On Fri, Feb 21, 2014 at 8:15 PM, Saket Dewangan <[email protected]>wrote:
>>>
>>>> Hi,
>>>> I am a pre-final year student at IIT Delhi, majoring in Electrical
>>>> Engineering with a minor in Mathematics and Computing Applications. I have
>>>> a huge motivation in computer algebra. I have a vast experience with Python
>>>> and I have also used SymPy before for applications in Neural Networks. I am
>>>> interested in Google SoC and would be really happy to code under SymPy's
>>>> banner.
>>>>
>>>> I wanted to implement different transforms techniques (FFT, Circular
>>>> DFT, IDFT, Discrete Cosine Transform etc) for my project. I know laplace
>>>> is there in SymPy already, and I sure hope so for Fourier and even
>>>> z-transform, but I am not so sure about others. Do tell me if this idea
>>>> sounds any good.
>>>> http://en.wikipedia.org/wiki/Fast_Fourier_transform
>>>>
>>>> http://en.wikipedia.org/wiki/Discrete_Fourier_transform#Circular_convolution_theorem_and_cross-correlation_theorem
>>>>
>>>> http://en.wikipedia.org/wiki/Discrete_Fourier_transform#Expressing_the_inverse_DFT_in_terms_of_the_DFT
>>>> http://en.wikipedia.org/wiki/Discrete_cosine_transform
>>>>
>>>> In the listed projects ( at
>>>> https://github.com/sympy/sympy/wiki/GSoC-2014-Ideas), following
>>>> projects (in the order of preference) struck me out the most:
>>>> 1. Series expansions
>>>> 2. ODEs
>>>> 3. Group Theory
>>>> 4. Polynomials module (Univariate)
>>>>
>>>>
>>>> Expecting a positive response.
>>>> Thank you.
>>>>
>>>> PS- I tried posting once before, I do't know if that got posted. Pardon
>>>> for a re-post.
>>>>
>>>> --
>>>> You received this message because you are subscribed to the Google
>>>> Groups "sympy" group.
>>>> To unsubscribe from this group and stop receiving emails from it, send
>>>> an email to [email protected].
>>>> To post to this group, send email to [email protected].
>>>> Visit this group at http://groups.google.com/group/sympy.
>>>> For more options, visit https://groups.google.com/groups/opt_out.
>>>>
>>>
>>>
>>>
>>> --
>>> ------------------------------------------------------
>>> Saket Dewangan,
>>> Third Year Undergraduate Student,
>>> Electrical Engineering Department,
>>> IIT Delhi.
>>> Ph- 8860715533
>>> e-mail: [email protected]
>>> -------------------------------------------------------
>>>
>>> --
>>> You received this message because you are subscribed to the Google
>>> Groups "sympy" group.
>>> To unsubscribe from this group and stop receiving emails from it, send
>>> an email to [email protected].
>>> To post to this group, send email to [email protected].
>>> Visit this group at http://groups.google.com/group/sympy.
>>> For more options, visit https://groups.google.com/groups/opt_out.
>>>
>>
>> --
>> You received this message because you are subscribed to the Google Groups
>> "sympy" group.
>> To unsubscribe from this group and stop receiving emails from it, send an
>> email to [email protected].
>> To post to this group, send email to [email protected].
>> Visit this group at http://groups.google.com/group/sympy.
>> For more options, visit https://groups.google.com/groups/opt_out.
>>
>
>
>
> --
> ------------------------------------------------------
> Saket Dewangan,
> Third Year Undergraduate Student,
> Electrical Engineering Department,
> IIT Delhi.
> Ph- 8860715533
> e-mail: [email protected]
> -------------------------------------------------------
>
--
------------------------------------------------------
Saket Dewangan,
Third Year Undergraduate Student,
Electrical Engineering Department,
IIT Delhi.
Ph- 8860715533
e-mail: [email protected]
-------------------------------------------------------
--
You received this message because you are subscribed to the Google Groups
"sympy" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To post to this group, send email to [email protected].
Visit this group at http://groups.google.com/group/sympy.
To view this discussion on the web visit
https://groups.google.com/d/msgid/sympy/CAMp1gYOzcgSkK9ELrXLtNmZHSf%3D_trBgDTaOeaf0kQgAq40Zfg%40mail.gmail.com.
For more options, visit https://groups.google.com/groups/opt_out.
