Octave

Calculating 1/3 Octave Spectrum from FFT / DFT

Calculating 1/3 Octave Spectrum from FFT / DFT
  1. How do you calculate 1 3 octave band frequencies?
  2. How do you calculate DFT in octave?
  3. What is a 1/3 octave EQ?
  4. How can you compute DFT using FFT algorithm?

How do you calculate 1 3 octave band frequencies?

A one-third octave band is defined as a frequency band whose upper band-edge frequency (f2) is the lower band frequency (f1) times the cube root of two.

How do you calculate DFT in octave?

The unitary discrete Fourier transform is computed by L-1 c(k+1) = 1/sqrt(L) * sum f(l+1)*exp(-2*pi*i*k*l/L) l=0 for k=0,...,L-1. The output of DFT is a scaled version of the output from fft. The function takes exactly the same arguments as fft.

What is a 1/3 octave EQ?

OK, so now we know what an octave is and what the 10 octaves of human hearing range are. What is 1/3 octave? We… it is simply the same 20Hz – 20kHz range broken into 1/3 octave slices. Calculating 1/3 octave intervals is pretty easy too. You simply start at 20Hz and multiply it by 1.26 to get 25.2Hz.

How can you compute DFT using FFT algorithm?

fft , with a single input argument, x , computes the DFT of the input vector or matrix. If x is a vector, fft computes the DFT of the vector; if x is a rectangular array, fft computes the DFT of each array column. Compute the DFT of the signal and the magnitude and phase of the transformed sequence.

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