20 citations · 23 across the 20 of their papers we have counts for
6 papers · 2 filters
Non-symmetric Convex Polytope and Gabor Orthonormal Bases
Randolf Chung, Chun-Kit Lai
In this paper, we show that the non-symmetric convex polytope cannot be served as a window function to produce a Gabor orthonormal basis by any time-frequency sets.
Non-separable lattices, Gabor orthonormal bases and Tilings
Chun-Kit Lai, Azita Mayeli
Let be a set with positive and finite Lebesgue measure. Let be a lattice in with density dens. It is well-known that if…
Conjugate Phase Retrieval on by real vectors
Luke Evans, Chun-Kit Lai
In this paper, we will introduce the notion of {\it conjugate phase retrieval}, which is a relaxed definition of phase retrieval allowing recovery of signals up to conjugacy as wel…
Translational absolute continuity and Fourier frames on a sum of singular measures
Xiaoye Fu, Chun-Kit Lai
A finite Borel measure in is called a frame-spectral measure if it admits an exponential frame (or Fourier frame) for . It has been conjectured that a f…
Tight Wavelet Frame Sets in Finite Vector Spaces
Alex Iosevich, Chun-Kit Lai, Azita Mayeli
Let be an integer, and , , be the vector space over the cyclic space . The purpose of this paper is two-fold. First, we obtain sufficient c…
Undersampled windowed exponentials and their applications
Chun-Kit Lai, Sui Tang
We characterize the completeness and frame/basis property of a union of under-sampled windowed exponentials of the form $$ {\mathcal F}(g): =\{e^{2πi n x}: n\ge 0\}\cup \{g(x)e^{2π…