# Questions tagged [fundamental-frequency]

The fundamental frequency of a periodic or quasi-periodic function is the reciprocal of the shortest period of the periodic function.

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### Integer multiples of fundamental period in sine wave

I have a simple question. Suppose I have a signal : $f(t)=\sin(2\pi \, 25t)$ We know that it's CTFT(continuous time fourier transform) will result in 2 delta's at +- $2\pi\,25$ [rad/sec]. Or ...
452 views

### How to get complete fundamental (f0) frequency extraction (python lib librosa.pyin)?

I am running librosa.pyin on a speech audio clip, and it doesn't seem to be extracting all the fundamentals (f0) from the first part of the recording. https://librosa.org/doc/main/generated/librosa....
495 views

### How do I determine if the fundamental period $T_{x}$ exists and if so what it is?

I recently came across this $$x(t) = \cos(6t) + \sin(8t) + e^{j2t}$$ signal that I want to find the fundamental period $T_{0}$ and fundamental frequency $\omega_{0} = 2\pi f_{0} = \frac{2\pi}{T_{0}}$...
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### Fundamental Frequencies of different instruments

I'm trying to study what differentiates different instruments in terms of frequencies, timbre, etc. By studying a few different samples of notes, I've come to the conclusion that for flutes the ...
1 vote
67 views

### Near Real Time Algorithm For Approximating Fundamental Frequency

I'd like to analyse the notes being played on a cello C2(65.4Hz) to C6(1046.5Hz) recorded on a PC and thus a likely sampling rate of 44.1kHz. If I can get that to behave then I'd like to be able to ...
1k views

### What is a "pitch period"?

The term pitch period appears in the book Speech and Language Processing by Daniel Jurafsy: As we just said, a pitch-synchronous algorithm is one in which we do something at each pitch period or ...
1 vote
488 views

### What are some really accurate ways to get the value of a peak (local maximum) given some points around it? (To be used for autocorrelation peaks.)

I have looked everywhere on the internet for this and, surprisingly, haven't found much useful information. Given 3 or more points closest to a peak (local maximum) what are some of the most accurate ...
1 vote
185 views

### Why do the DTFT and FFT give me completely different results for magnitude at a specific frequency?

I am trying to write a program to compute the magnitude and phase of a specific, non-integer frequency component (i.e. given a sampled finite signal of length $N$, I want to know the magnitude and ...
1 vote
102 views

### Timbre vs sound via oscilloscope

My understanding is that a distinct sound will generate waves of identical amplitude and frequency, but that most things (such as people's voices, music intsruments, etc) produce multiple distinct &...
455 views

### what is the relationship between a spectrogram and the uncertainty principle heisenberg? [closed]

what is the relationship between these two things Perhaps more resolution in a spectrogram is equivalent to knowing more the position of the electron and less resolution is knowing the velocity of the ...
1 vote
823 views

### Change in frequency on differentiation

Is there any possible periodic signal can exist(even mathematically) whose period gets change after differentiation?
I am reading signal processing first and in chapter 3 ex3.8 i came across an example of fundamental period as shown in attached photo It apparently shows that signal $$x(t)=\cos^2(4\pi t)$$ has ...