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引用次数: 4
摘要
Gabor空间是由单个窗函数的时频移拷贝的离散集合生成的空间。从Gabor空间是否包含窗函数附加时频移的问题出发，建立了一个新的Balian-Low型结果。这个结果在一维情况下推广了(例如)已建立的Amalgam bali - low定理。本文考虑的Gabor空间是由有理密度1的辛格生成的。
An Amalgam Balian-Low Theorem for symplectic lattices of rational density
A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single window function. Starting from the question of whether a Gabor space contains additional time-frequency shifts of the window function we establish a new Balian-Low type result. This result extends (for example) the well established Amalgam Balian-Low Theorem in the one dimensional case. The Gabor spaces considered in this note are generated by symplectic lattices of rational density1.
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