The optimum discrete running approximation of multidimensional time-limited signals

Yuichi Kida; Takuro Kida

doi:10.1117/12.825607

3 September 2009 The optimum discrete running approximation of multidimensional time-limited signals

Yuichi Kida, Takuro Kida

Proceedings Volume 7444, Mathematics for Signal and Information Processing; 744403 (2009) https://doi.org/10.1117/12.825607
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

In this paper, we present an integrated discussion of the space-limited but approximately band-limited ndimensional running discrete approximation that minimizes various continuous worst-case measures of error, simultaneously. Firstly, we introduce the optimum approximation using a fixed finite number of sample values and a running approximation that scans the sample values along the time-axis. Secondly, we derive another filter bank having both the set of extended number of transmission paths and a cutoff frequency over the actual Nyquist frequency. Thirdly, we obtain a continuous space-limited n-dimensional interpolation functions satisfying condition called extended discrete orthogonality. Finally, we derive a set of signals and discrete FIR filter bank that satisfy two conditions of the optimum approximation.

Citation Download Citation

Yuichi Kida and Takuro Kida "The optimum discrete running approximation of multidimensional time-limited signals", Proc. SPIE 7444, Mathematics for Signal and Information Processing, 744403 (3 September 2009); https://doi.org/10.1117/12.825607

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