On the numerical evaluation of bandpass prolates. II

DOI10.1007/s00041-016-9465-yzbMath1379.94016OpenAlexW2341517941MaRDI QIDQ515863

Joseph D. Lakey, Jeffrey A. Hogan

Publication date: 17 March 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00041-016-9465-y

zbMATH Keywords

Legendre polynomialsbandpass prolateprolate spheroidal wave functiontime and band limiting

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Sampling theory in information and communication theory (94A20) Numerical methods in Fourier analysis (65T99)

Related Items (3)

Prolate Shift Frames and Sampling of Bandlimited Functions ⋮ Multitaper Estimation on Arbitrary Domains ⋮ Unnamed Item

Uses Software

• Algorithm 840

Cites Work

• Concentration problems for bandpass filters in communication theory over disjoint frequency intervals and numerical solutions
• Letter to the editor: On the numerical evaluation of bandpass prolates
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• Bandpass sampling and bandpass analogues of prolate spheroidal functions
• New efficient methods of computing the prolate spheroidal wave functions and their corresponding eigenvalues
• Prolate spheroidal wavefunctions, quadrature and interpolation
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• On the eigenfunctions corresponding to the bandpass kernel, in the case of degeneracy
• Algorithm 840: computation of grid points, quadrature weights and derivatives for spectral element methods using prolate spheroidal wave functions---prolate elements
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I

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