# Recent content by T.Engineer

1. ### Find the following integral

can you help to find a general formula for the autocorrelation function Hermite polynomials. Thanks a lot!
2. ### Calling T.Engineer

1. you mean for arbitrary n,m. 2. what do you mean by z. 3. can you tell me how to evalute eq(15) to get this result: δ_n,m 2^n n! sqr(pi). if I you will know how they get this result for Hn, Hm, so I can also evaluted for my equation with Hn * cos (...) but this is my problem I dont know...
3. ### Calling T.Engineer

1. please, can tell me how to find the normalization coeffecient N_n? 2. you said different δ _n,m. I know thet δ _n,m is Kronecker delta function, how it can be changed? Thanks a lot!
4. ### Calling T.Engineer

do you mean with different N_n which is represented by eq(16)
5. ### Find the solution for the following equation

Homework Statement if H_n(t)= (-1)^n * e^(t^2) * d^n/dt^n * e^(-t^2) where n=1,2,...,N from the orthogonality property of Hermite polynomials we will have: \int^{\infty}_{-\infty} e^{-t^2} H_n(t) H_m(t)dt = \delta_n,m 2^n n! \sqrt{}pi this gives N_n=...
6. ### Calling T.Engineer

OK, I will. Thank you very much!
7. ### Calling T.Engineer

As I said to you: let assume that our function g(t) instead of H(t) So that, g(t)= (-1)^n * e^(t^2) * d^n/dt^n * e^(-t^2)* cos (2 pi fc t) we can say that g(t) can satisfied equations 15 and 17 because of its orthogonality properties. Is that true?
8. ### Calling T.Engineer

yes, why? I dont think that they have it.
9. ### Calling T.Engineer

No, I dont have it.
10. ### Calling T.Engineer

It is a reference which is : A. D. Poularikas, The Transforms and Applications Hand book CRC Press, Boca Raton, Fla, USA, 2nd edition, 2000.
11. ### Calling T.Engineer

according to the text that I have and I couldnt attached it here, the coeffecient C_m,n(t) is the the cross correlation function between nth and mth order pulses at point t.
12. ### Find the following integral

I am runing windows Xp.
13. ### Calling T.Engineer

let assume that our function g(t) instead of H(t) So that, g(t)= (-1)^n * e^(t^2) * d^n/dt^n * e^(-t^2)* cos (2 pi fc t) 1. we can say that g(t) can satisfied equations 15 and 17 because of its orthogonality properties. Is that true? 2. in equation 18, I didnt understand what...
14. ### Calling T.Engineer

for Hn(t)= (-1)^n * e^(t^2) * d^n/dt^n * e^(-t^2)* cos (2 pi fc t) where fc will be chosen such as to still keeping the orthogonality of Hn(t) for different integer values for n. so, Psi_n(t)= N_n * Hn(t) where N_n = \frac{1}{\sqrt{2^n*n!*\sqrt{pi}}} according to the definition as...
15. ### Calling T.Engineer

what about \int^{\infty}_{-\infty} Hn(t) Hm(t-d) dt where H(t)= (-1)^n * e^(t^2) * d^n/dt^n * e^(-t^2)* cos (2 pi fc t)