A class of vector-valued subspace weak Gabor duals of type II

作者：Zhao, Jing; Li, Yun-Zhang^*

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2018, 16(6): 1850056.

DOI：10.1142/S021969131850056X

• Gabor frame
• vector-valued frame
• subspace weak Gabor dual of type II

The theory of vector-valued frames (also called superframes) has important applications in signal multiplexing, and has interested many mathematicians in recent years. In this paper, we introduce the notion of weak Gabor duals of type II under the setting of subspaces L-2(S, C-L), where S is a periodic subset of R. Using the Zak transform matrix method, we characterize weak Gabor duals of type II and their uniqueness. An example is also presented to illustrate the generality of our results.

• 出版日期2018-11
• 单位北京工业大学