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引用
期刊论文
Irregular Wavelet/Gabor Frames*
Applied and Computational Harmonic Analysis, 13 (2002), 63-76,-0001,():
We study the construction of wavelet frames and Gabor frames with irregular time-scale and time-frequency parameters respectively. We give simple and sufficient conditions which ensure an irregular discrete wavelet system or Gabor system to be a frame. Explicit frame bounds are given. We also study the stability of wavelet frames and Gabor frames and give explicit stability bounds. Several known results are considerably improved. Examples are given.
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