You can use the command sound(x,fs) to listen to the entire audio file. The time scale in the data is compressed by a factor of 10 to raise the pitch and make the call more clearly audible. Because blue whale calls are low-frequency sounds, they are barely audible to humans. The following code may help you to plot the first, 3rd and fifth harmonics of the signal. Load and format a subset of the data in, which contains a Pacific blue whale vocalization. This data can be found in a library maintained by the Cornell University Bioacoustics Research Program. Many specialized implementations of the fast Fourier transform algorithm are even more efficient when n has small prime factors, such as n is a power of 2.Ĭonsider audio data collected from underwater microphones off the coast of California. Now, the (truncated) Fourier series may be give as: xt (t,n) 4A/pisum(a(1:n).sin(w(1:n)t)) fourier series This is a function of the number of terms n you want to include in your approximation of the infinite series and the also a number of the independent variable t. This computational efficiency is a big advantage when processing data that has millions of data points. The fast Fourier transform algorithm requires only on the order of n log n operations to compute. Using the Fourier transform formula directly to compute each of the n elements of y requires on the order of n 2 floating-point operations.
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