Hello, how would one calculate the Fourier transform of f(x)=x, with the limits -1 to 1? The formula should be … To be honest, I'm not getting any further from there. I first tried integration by parts with u=x, and that works, but I'm just not sure if I calculated it correctly, since I don't…
I have to show the following relation: I did the following: F[f(ax),k]=Here I have substituted: u=ax => du/dx=a => dx=a^(-1) du, so: Where 's the error here? Back substitution puts "ax" back into f() at the end?
Hello, could someone please explain to me how to proceed with the following task? Thanks in advance!
Can someone please explain to me how to calculate the sine coefficient in the following task? Thanks in advance!
δ( sin x )
In the lecture we learned the following equations: Wikipedia says further down but also And in an old exam there is talk of ——————————- Why is 2pi sometimes there, sometimes not there, sometimes as 1/2pi before the integral and sometimes as an exponent? This is kind of confusing to me… Especially that according to the…
Hi, can someone help me plot the output signal in No. 1.3? I can't figure out the solution… I understand the right part, from T/2 to T, and the left part, from -T to -T/2, but where does the rest come from? 🙁
Hi, can someone please explain this task to me using the first example, I really have no idea.
I would like to know what the De Broglie wavelength of a particle is. It connects momentum with wavelength. However, particles are referred to as wave packets and not as plane waves. The localization of the wave packet is ultimately a Fourier transformation. Is the De Boglie wavelength then the central wavelength of the Fourier…
Hi, The Laplace transformation is defined as follows: What does Sigma + jw and the division into e^ -σt and e^jwt mean?
Let f(t) := e^−|t| Show that the following equations are satisfied F(f ∗ f) = (1 + |t|)e^−|t| I am not coming for this equation, if someone can help me to find this equation .Thanks
Hello. Unfortunately, I only understand why the signal is odd. But why is the signal real, and why is the spectrum oddly symmetric and purely imaginary? Thank you.