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0 votes
1 answer
126 views

What would happen when two wave functions intersect in a Fourier series representation of periodic signals? [closed]

I saw a piece of code on github which transforms the planetary movement into the fourier wave function. These circles are given by the x and y ordinates: x=cos(ωt) y=sin(ωt), which are periodic. ...
Kevin's user avatar
  • 109
0 votes
1 answer
53 views

Is there any known result about the "average period" of a complicated oscillating function?

Say we have some frequency spectrum, $f(\omega)$, where $$ f(t) = \frac{1}{2\pi} \int_{-\infty}^\infty d\omega \; f(\omega)e^{-i\omega t}, $$ and we know that $f(t)$ is some sort of ...
J_B_Phys's user avatar
  • 188
0 votes
1 answer
34 views

RLC Bandpass Filter network

Can anybody tell me what the "s" in this equation is? I am looking for the transfer function of this circuit
Clemens Schumann's user avatar
0 votes
1 answer
2k views

Help in understanding frequency vs phase difference graph

The following graph in my textbook plots the relationship of external driving frequency and phase difference of the driver and a system. From this question (Why dosn't amplitude increase when ...
NoLand'sMan's user avatar
3 votes
1 answer
721 views

Applying Kramers-Kronig relation to a simple damped oscillator

I just discovered the Kramers-Kronig relation and am trying to apply it to a simple damped oscillator of the form subjected to an impulse at $t=0$, which is a causal system: $$m\ddot x + c\dot x + k ...
anderstood's user avatar
0 votes
1 answer
654 views

How to estimate the frequency of the sample rate?

I'm studying for my class of physics laboratory and I need help with something: Let's say I need to deduce the constant of elasticity of a spring and I will do it using a dual-range force sensor, ...
Neisy Sofía Vadori's user avatar
1 vote
1 answer
753 views

Phase Locking vs. Synchrony

Consider two cosinusoidal signals given by \begin{gather*} z_1(t) = A_1\cos\phi_1(t)\\ z_2(t) = A_2\cos\phi_2(t) \end{gather*} with \begin{gather*} \phi_1(t) = (\omega_1 t + \theta_1)\\\phi_2(t) = (...
nguzman's user avatar
  • 359
1 vote
2 answers
539 views

Electrical equivalent of inverted pendulum

Background I am working on a summer project to design labs for undergraduate students. One of the topics is feedback and there is already quite a lot of stuff about passive feedback, so we might add ...
Wolpertinger's user avatar
  • 11.6k
1 vote
2 answers
814 views

Why is a sine wave considered the fundamental building block of any signal? Why not some other function? [closed]

It is mathematically possible to express a given signal as a sum of functions other than sines and cosines. With that in mind, why does signal processing always revolve around breaking down the signal ...
Dojo's user avatar
  • 113