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  • 0 posts edited
  • 1 helpful flag
  • 57 votes cast
Sep
18
comment Integration of infinite series not giving expected result
The result now plots as expected. Thanks for your help!
Sep
18
accepted Integration of infinite series not giving expected result
Sep
18
revised Integration of infinite series not giving expected result
added 43 characters in body
Sep
18
comment Integration of infinite series not giving expected result
Ok, I went ahead and made the clarifications as suggested by your post!
Sep
18
revised Integration of infinite series not giving expected result
added 121 characters in body
Sep
18
revised Integration of infinite series not giving expected result
added 121 characters in body
Sep
18
comment Integration of infinite series not giving expected result
I'm using u(t) to represent the Heaviside function (edited to make this clearer). Let me go ahead and reformat using Mathjax and replace t with a different variable.
Sep
18
revised Integration of infinite series not giving expected result
edited title
Sep
17
asked Integration of infinite series not giving expected result
Sep
17
comment Solving integral of sinusoid involving unit step and dirac delta function
FWIW, my main mistake above was in the integration of the dirac function - which should integrate to u(t), not 1. Once that's fixed the integration method above "works" even though as per Dr. MV it may not be entirely sound mathematically.
Sep
17
comment Solving integral of sinusoid involving unit step and dirac delta function
Excellent, thanks!
Sep
17
accepted Solving integral of sinusoid involving unit step and dirac delta function
Sep
17
comment Expressing a function in terms of sinc(t)
Right, so I guess I wasn't looking for a more explicit relation than what is possible. Thanks for pointing me in the right direction.
Sep
17
accepted Expressing a function in terms of sinc(t)
Sep
17
comment Solving integral of sinusoid involving unit step and dirac delta function
Also, the solution I am given doesn't have a negative sign.
Sep
17
comment Solving integral of sinusoid involving unit step and dirac delta function
I would like to accept but the solution (see question) doesn't involve this additional u(t) - that's part of what I don't understand.
Sep
16
comment Solving integral of sinusoid involving unit step and dirac delta function
Thank you for your help. What about the + 1 part from the derivative of the dirac function?
Sep
16
comment Expressing a function in terms of sinc(t)
Essentially everything I'm writing down simplifies to $sin(t) = sin(t)$ or $sin(t/\Delta)=sin(t/\Delta)$.
Sep
16
comment Expressing a function in terms of sinc(t)
Thanks for your help. This gives me $U(\Delta*s)=\Delta*S(s)$, but I can't seem to find a value of $s$ that results in relating $sin(t/\Delta)$ to $sin(t)$. Maybe I'm missing something obvious, or not aiming for the right thing here.
Sep
16
comment Expressing a function in terms of sinc(t)
So far, I've tried expanding each side into their complex exponential forms, then isolating t on both sides and trying to solve the equation. That's not been getting me anywhere.