How is Kaiser window length calculated?
Kaiser–Bessel-derived (KBD) window This defines a window of length 2N, where by construction dn satisfies the Princen-Bradley condition for the MDCT (using the fact that wN−n = wn): dn2 + (dn+N)2 = 1 (interpreting n and n + N modulo 2N). The KBD window is also symmetric in the proper manner for the MDCT: dn = d2N−1−n.
How do you measure Hamming windows?
Wn is defined by the Hamming window, W n = 0.54 + 0.46 cos ( n π N ) . . The sampling interval used in all the tests was chosen to be 0.1984 s.
How is the height of a Kaiser window determined?
The Kaiser window is an approximation to the prolate spheroidal window, for which the ratio of the mainlobe energy to the sidelobe energy is maximized. For a Kaiser window of a particular length, the parameter β controls the sidelobe height.
How is the Kaiser window related to the prolate spheroidal window?
The Kaiser window is an approximation to the prolate spheroidal window, for which the ratio of the mainlobe energy to the sidelobe energy is maximized. For a Kaiser window of a particular length, the parameter β controls the relative sidelobe attenuation.
How did the Kaiser window get its name?
The Kaiser was named for Jim Kaiser, who discovered a simple approximation to the DPSS window based on Bessel functions. The Kaiser window is a very good approximation to the Digital Prolate Spheroidal Sequence, or Slepian window, which is the transform which maximizes the energy in the main lobe of the window relative to total energy.
How to calculate the relative sidelobe attenuation for Kaiser window?
For a Kaiser window of a particular length, the parameter β controls the relative sidelobe attenuation. For a given β, the relative sidelobe attenuation is fixed with respect to window length. The statement kaiser(n,beta) computes a length n Kaiser window with parameter beta.