Sampling approximations for time- and bandlimiting
نویسندگان
چکیده
This paper extends work of Shen and Walter and others concerning relationships between sampling and time-frequency localization. We consider approximate projections onto eigenspaces of timeand bandlimiting operators, expressed in terms of samples of bandlimited functions. We establish error estimates of eigenfunction samples and on matrices that can be used to generate approximations of these samples. Numerical comparisons are made between approximations generated by a method proposed by Walter, Shen and Soleski and an alternative method proposed by Karoui and Moumni.
منابع مشابه
@bullet Muhammad Karvllil Habib. Sampling Representations and Approximations for Certain Functions and Stochastic Processes. (under the Direction of Stamatis Cambanis.)
Sampling representations and approximations of deterministic and random signals are important in communication and information theory. Finite sampling approximations are derived for certain functions and processes which are not bandlimited, as well as bounds on the approximation errors. Also derived are sampling representations for bounded linear operators acting on certain classes of band-limi...
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