trigonometric basis
An orthogonal basis for periodic function spaces composed of sine and cosine functions. Its coefficients are Fourier coefficients, and frequency directly corresponds to the rate of oscillation, making it a natural basis for studying the Frequency Principle.
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The paper conducted numerical experiments using the Legendre basis and the trigonometric basis, validating the theoretical results.
The trigonometric basis, i.e., the Fourier basis {1, cos(nπx), sin(nπx)} or complex exponentials {e^{inπx}}, is an orthogonal basis of the space of periodic functions.
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The paper conducted numerical experiments using the Legendre basis and the trigonometric basis, validating the theoretical results.
50%UnverifiedThe trigonometric basis, i.e., the Fourier basis {1, cos(nπx), sin(nπx)} or complex exponentials {e^{inπx}}, is an orthogonal basis of the space of periodic functions.
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