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Kernel approach to discrete-time linear scale-invariant systems

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2 Author(s)
Seungsin Lee ; Center for Imaging Sci., Rochester Inst. of Technol., NY, USA ; Rao, R.

Zhao and Rao (1998) have proposed linear scale-invariant systems that operate with continuous dilation but in discrete-time. This was done through a discrete-time continuous-dilation operator which tacitly uses warping transforms such as bilinear transforms to implement conversion from discrete time frequency to continuous time frequency. This paper introduces a more general method based on kernels for effecting the dilation. It is shown that the warping function based scaling is a special case. The kernel approach results in an alternative formulation of discrete-time linear scale-invariant systems that possesses desirable properties not seen in the earlier formulation

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Statistical Signal Processing, 2001. Proceedings of the 11th IEEE Signal Processing Workshop on

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