DERIVATIVE SAMPLING EXPANSIONS FOR THE LINEAR CANONICAL TRANSFORM: CONVERGENCE AND ERROR ANALYSIS

• 来源期刊: 计算数学（英文版）
• 关键词: Linear canonical transform Sampling theorems Truncation error Amplitude error Jitter-time error
• 年，卷（期）: 2019,（3）
• 页码范围: 403-418
• 页数: 16页
• 语种: 英文
• DOI: 10.4208/jcm.1806-m2017-0215

摘要

In recent decades,the fractional Fourier transform as well as the linear canonical transform became very efficient tools in a variety of approximation and signal processing applications.There are many literatures on sampling expansions of interpolation type for bandlimited functions in the sense of these transforms.However,rigorous studies on convergence or error analysis are rare.It is our aim in this paper to establish sampling expansions of interpolation type for bandlimited functions and to investigate their convergence and error analysis.In particular,we introduce rigorous error estimates for the truncation error and both amplitude and jitter-time errors.