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 s...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.展开更多
文摘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.
