The Fast
Fourier Transform provides a general picture of temporal behavior of wind speed and the associated wind direction is also considered for ventilation design purpose.
Liu, "Pitt's inequality and the uncertainty principle associated with the quaternion
fourier transform," Journal of Mathematical Analysis and Applications, vol.
Solgaard, "Micromachined
Fourier transform spectrometer on silicon optical bench platform," in The 13th International Conference on Solid-State Sensors, Actuators and Microsystems, 2005.
(4) Taking the inverse
Fourier transform of [H.sub.w](f), obtained transform function h(t) is windowed by the same time window [t1 t2], but, to compensate the filter delay used in step 3, time window is shifted by the same filter delay and then [h.sub.w](t) is obtained.
Equations (5) and (6) imply that the 2-D AOAs are decoupled and obtained by
Fourier transform, given the continuous phase distribution around a circular aperture.
In this subsection, we introduce the quaternionic windowed
Fourier transform (QWFT) and obtain the relationship between the QAF-LCT and QWFT.
We combined the matrix form of this discrete Laplace transform with a generalized fast
Fourier transform in a purely algebraic fashion, where we used the decomposition of the Laplace transform explicitly and a small number of generalized FFTs as black box.
Method for eliminating zero spectrum in
Fourier transform profilometry, Optics and Lasers in Engineering, 43(11), 1267-1276.