What is octave analysis? Difference from FFT analysis



Digital signal processing

Release date:2024/4/30         

In Japanese
Prerequisite knowledge
Frequency analysis method
Decibel


■What is an octave?

An octave is the interval of eighths from one "C" to the next "C" in music. One octave higher is a pitch with twice the frequency. Below are the scales and frequencies of an 88-key keyboard.

<Piano 88-key scale and frequency>

■What is octave analysis? Difference from FFT analysis

Octave analysis is a method of frequency analyzing the loudness of a sound. The difference from FFT analysis, which is another frequency analysis method, is that the range of frequencies to be analyzed is different. FFT analysis has frequencies that are evenly spaced and is more detailed than octave analysis, but octave analysis has equal frequency intervals and is often coarser than FFT analysis. Both methods use fast Fourier transform for frequency analysis.

Since humans tend to perceive sound frequencies geometrically, octave analysis, which analyzes frequencies geometrically, is said to be more suitable for sound analysis.



The frequency range of octave analysis is the human audible range of 1Hz to 20,000Hz (many people cannot hear frequencies below 20Hz). There are 1/1 octave analysis, which divides frequencies into equal ratios, and 1/3 octave analysis, which divides frequencies into smaller parts. Note that the frequency is slightly different from the one octave in music explained above.

<Center frequency>

■Overview of octave analysis

The flow of octave analysis is as follows. The raw sound pressure (unit: Pa) obtained with a measuring instrument is passed through an octave band filter to separate the components by frequency. Frequency analysis is then performed using fast Fourier transform. Analysis results can be obtained by performing decibel conversion and auditory correction on the results.


<What is an octave band filter?>

An octave bandpass filter has the characteristic of attenuation as it deviates from the center frequency. The following are the characteristics of class 1 in a 1/3 octave band filter.


<What is auditory correction?>

Auditory correction is a correction value for sound pressure level according to frequency. This expresses the characteristic that humans are less sensitive to sound at low frequencies. The characteristics are as follows.










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