Hi,
Indeed I am looking for s.th. like

g(t) = convolve(f,sin)

I am not familiar with Maxima - I had a short look at it but I didn't
find a function like this.

Is the best way to convolve numerically?

Does anybody know a way in Maxima or another CAS?

Tobias




On 05/19/2010 03:11 PM, kcrisman wrote:
> 
> 
> On May 19, 7:41 am, David Joyner <[email protected]> wrote:
>> On Wed, May 19, 2010 at 6:46 AM, Tobias Katz <[email protected]> wrote:
>>> Hi,
>>> I am trying to use sage for signal analysis and didn't find a solution
>>> to perform symbolic convolution. Is there a way to do this?
>>> Has anybody done something similar in sage before?
>>
>> Do you mean this, for example?
>>
>> sage: x,t = var("x,t")
>> sage: assume(t>0)
>> sage: f = function("f",x)
>> sage: g(t) = integral(f(x)*sin(t-x),x,0,t)
>> sage: g
>> t |--> -integrate(sin(-t + x)*f(x), x, 0, t)
>>
> 
> 
> But perhaps the OP wishes functionality like
> 
> sage: g(t) = convolve(f,sin)  # doesn't exist!
> 
> which I've wanted to implement for a long time for arithmetic
> functions, but haven't quite figured out how to get Python to do
> consistently for some reason (it being low on the priority list).
> 
> Does Maxima have a convolution?
> 
> - kcrisman
> 
> 
>>> Is there a way to work with the sine integral?
>>> I tried to get it by integrating a sinc-function but I didn't get
>>> anything usable.
>>
>>> Would be great if anybody could give me a hint.
>>
>>> Thanks,
>>> Tobias
>>
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