Discrete Orthogonal-like Gabor Expansion

Xue Jian

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Discrete Orthogonal-like Gabor Expansion

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- Discrete Orthogonal-like Gabor Expansion
- Acta Electronica Sinica Issue 4, (1997)
- 作者机构：
  
  1. 北方交通大学通信控制工程系
  2. 北方交通大学信息所
  3. 北方交通大学通信控制工程系北方交通大学信息所
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：1997
- 稿件说明：
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[1]薛健,袁保宗.离散拟正交Gabor展开[J].电子学报,1997(04):68-71.

Xue Jian. Discrete Orthogonal-like Gabor Expansion[J]. Acta Electronica Sinica, 1997, (4).
[1]薛健,袁保宗.离散拟正交Gabor展开[J].电子学报,1997(04):68-71. DOI：

Xue Jian. Discrete Orthogonal-like Gabor Expansion[J]. Acta Electronica Sinica, 1997, (4). DOI：

摘要

利用一般条件的离散Ｚａｋ变换及连续Ｇｏｂｏｒ展开和离散Ｇａｂｏｒ展开间的关系，本文首次提出了在整数倍过抽样条件下，由Ｗｅｙｌ－Ｈｅｉｓｅｎｂｅｒｇ紧框架构造离散Ｇａｂｏｒ展开的方法．并给出了由此构造的离散Ｇａｂｏｒ展开的一些性质．

Abstract

On the basis of the general discrete Zak transform and the relationships between the continuous and discrete Gabor expansions

we present a method to construct the discrete Gabor expansion via tight Weyl-Heisenberg frame in the case of oversampled by an integer factor. The properties of the constructed discrete Gabor expansions are also given.

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