State-space formulation of frequency transformation for 2-D digital filters
State-space formulation of frequency transformation for 2-D digital filters
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DOI：
10.1109/lsp.2004.835469
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发表时间：
2004-09
影响因子：
3.9
通讯作者：
S. Koshita;M. Kawamata
中科院分区：
文献类型：
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作者：
S. Koshita;M. Kawamata
这封信提出了根据状态空间方程对二维 (2-D) 数字滤波器进行频率变换。为了导出频率变换的二维状态空间公式，我们将一维频率变换的状态空间公式扩展到二维情况。所提出的频率变换非常适合变换滤波器的状态空间分析，因为所得公式由简单的代数运算组成，例如矩阵加法、乘法、逆运算等。它可以很容易地在 MATLAB 中实现，无需任何复杂的算法。
This letter proposes frequency transformation for two-dimensional (2-D) digital filters in terms of the state-space equations. In order to derive the 2-D state-space formulation of the frequency transformation, we extend Mullis and Roberts' state-space formulation of one-dimensional frequency transformation to 2-D case. The proposed frequency transformation is very suitable for state-space analysis of the transformed filters since the resultant formulation consists of simple algebraic operations such as matrix addition, multiplication, inverse and so on. It can be easily implemented in MATLAB without any complicated algorithm.