Sampling Theorem for Spline Signal Space of Arbitrary Degree (Special Section on Signal Processing and System Theory)
スポンサーリンク
概要
- 論文の詳細を見る
In the band-limited signal space, the mutual relation between continuous time signal and discrete time signal is expressed by the sampling theorem of Whittaker-Someya-Shannon. This theorem consists of an orthonormal expansion formula using sinc functions. In that formula, the expansion coefficients are identical to the sample values of signals. In general, the band-limited signal space is not always suited to model the signals in nature. The authors have proposed a new model for signal processing based on finite times continuously differentiable functions. This paper aims to complete the sampling theorem for the spline signal spaces, which corresponds to the sampling theorem of Whittaker-Someya-Shannon in the band-limited signal space. Since the obtained sampling theorem gives the simplest representation of signals, it is considered to be the most fundamental characterization of spline functions used for signal processing. The biorthonormal basis derived in this paper is considered to be a system of delta functions at sampling points with some continuous differentiability.
- 社団法人電子情報通信学会の論文
- 1994-05-25
著者
-
Iwaki Mamoru
Doctoral Program In Engineering University Of Tsukuba
-
Toraichi Kazuo
Institute of Information Sciences and Electronics, University of Tsukuba
-
Toraichi Kazuo
Institute Of Information Sciences And Electronics University Of Tsukuba
関連論文
- Sampling Theorem for Spline Signal Space of Arbitrary Degree (Special Section on Signal Processing and System Theory)
- Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials (Special Section on Signal Processing and System Theory)
- Three-Dimensional Measurement Approach for Seal Identification
- A General Formula for the Wavelets in Fluency Approach (Special Section on Signal Processing and System Theory)
- Parameter Insensitive Disturbance-Rejection Problem with Incomplete-State Feedback
- A State Space Approach for Distributed Parameter Circuit : Disturbance-Rejection Problem for Infinite-Dimensional Systems (Special Section on Signal Processing and System Theory)
- A Contour Tracing Algorithm that Avoids Duplicate Tracing Common Boundaries between Regions (別冊 ビジュアルコンピューティング特集号) -- (ビジュアルコンピューティング論文特集)