# Questions tagged [parseval]

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### Spectral correlation zero modulation frequency $S_x(\alpha, 0)$

I got a simple modulating signal $x(t)=\sin(2\pi\alpha t)\sin(2 \pi \beta t)$ with carrier frequency $\alpha$ and modulation frequency $\beta$. The spectral correlation will obviously have components ...
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### reference parseval theorem limited signal

some days ago I asked here parseval for a continuos but limited signal if the Parseval can be applied for limited signal. Can you recommend me a book or a paper that I can use as reference for this? ...
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I have to do a demonstration. If we do the Parseval identity of the signals $x(t)$, $y(t)$ and $z(t)$ that go from $0$ to $T$ and that are real, we have: $\int_{0}^{T} x(t)^2dt=\int_{-\infty}^{\... 1answer 38 views ### parseval for a continuos but limited signal I have a question about the parseval relation written here https://en.wikipedia.org/wiki/Parseval%27s_theorem (In the chapter Notation used in physics). If I have a signal continuous but limited (so ... 1answer 155 views ### Is there an equivalent of Parseval's theorem for wavelets? Parseval's theorem can be interpreted as: ... the total energy of a signal can be calculated by summing power-per-sample across time or spectral power across frequency. For the case of a signal$x(...
I'm trying to check Parseval's theorm for Gaussian signal. It's well known that fourier transform of $\exp(-t^2)$ is $\sqrt{\pi}\exp(-\pi^2 k^2)$. So I implement it by using quad and simps. I think ...
Let $x(n)$ be a sequence of length $N$, which is zero outside the interval $(0,N-1)$. Let $X(k), k=0,1,\cdots,N-1$ be the FFT coefficients of $x(n)$, that is, \$X(k)=\sum_{n=0}^{N-1}x(n) \exp\left( -\...