- #1
muzialis
- 166
- 1
Hello there,
I can not work out a computation i found, involving the convolution of a convolution.
G is a function, as well as ε, and using the notation
G*ε = ∫G(t-tau) dε (the integral being performed between 0 and t)
I want to compute
G*ε*ε
I try
(G*ε)*ε
and end up with
(G*ε)*ε =∫ (∫G(t-tau) dε ) dε2,
the first integral being between 0 and t, and the second between 0 and t - tau2 ,the new mute variable).
In a paper I find a different result, of the type
(G*ε)*ε =∫ ∫G(2t-tau1 - tau2) dε dε2,
I really cann ot get my head around it, any help so appreciated.
Thanks
I can not work out a computation i found, involving the convolution of a convolution.
G is a function, as well as ε, and using the notation
G*ε = ∫G(t-tau) dε (the integral being performed between 0 and t)
I want to compute
G*ε*ε
I try
(G*ε)*ε
and end up with
(G*ε)*ε =∫ (∫G(t-tau) dε ) dε2,
the first integral being between 0 and t, and the second between 0 and t - tau2 ,the new mute variable).
In a paper I find a different result, of the type
(G*ε)*ε =∫ ∫G(2t-tau1 - tau2) dε dε2,
I really cann ot get my head around it, any help so appreciated.
Thanks