fourier basis造句

• Therefore, we must large amounts of Fourier basis or Wavelets to represent whole signal with small approximation error.
• Knowing the function in the fourier basis allows you to see how much of a certain frequency the function contains.
• Because of this poor frequency localization, even though a signal f is smooth, its decomposition in a block Fourier basis may include large high-frequency coefficients.
• A typical example is to take " X " to be the sphere with the usual metric, in which case the Fourier basis consists of spherical harmonics.
• A Fourier basis provided a poor representation of functions well localized in time, and wavelet bases are not well adapted to represent functions whose Fourier transforms have a narrow high frequency support.
• Unsurprisingly, you can use another basis, the so-called fourier basis, consisting of sines and cosines of different frequencies ( or complex exponentials, if you like that better ).
• The formulas given in http : / / en . wikipedia . org / wiki / Fourier _ transform # Definition are projection operators ( http : / / en . wikipedia . org / wiki / Projection _ % 28linear _ algebra % 29 ) from the position basis to the fourier basis ( and vice versa ).