Abstract
A major part of the information we receive and perceive every day is in the form of audio. Most sounds are transferred directly from the source to our ears, like when we have a face to face conversation with someone or listen to the sounds in a forest or a street. However, a considerable part of the sounds are generated by loudspeakers in various kinds of audio machines like cell phones, digital audio players, home cinemas, radios, television sets and so on. The sounds produced by these machines are either generated from information stored inside, or electromagnetic waves are picked up by an antenna, processed, and then converted to sound.
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Notes
- 1.
See Section 6.1 in [32] for a review of inner products and orthogonality.
- 2.
See Section 6.7 in [32] for a review of function spaces as inner product spaces.
- 3.
See Section 6.3 in [32] for a review of projections and least squares approximations.
- 4.
See Section 4.7 in [32], to review the mathematics behind change of coordinates.
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Ryan, Ø. (2019). Sound and Fourier Series. In: Linear Algebra, Signal Processing, and Wavelets - A Unified Approach. Springer Undergraduate Texts in Mathematics and Technology. Springer, Cham. https://doi.org/10.1007/978-3-030-01812-2_1
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