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Date: 2015
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/1330443
Description: We investigate frames for the Paley-Wiener space PWΩ of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φn (t - αℓ) of prolate spheroidal wave-func... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1332122
Description: We provide conditions on a shift parameter and number of basic prolate spheroidal wave functions with a fixed bandwidth and time concentrated to a fixed duration such that the shifts of the basic prol... More
Reviewed: Reviewed
Date: 2015
Language: eng
Resource Type: conference paper
Identifier: http://hdl.handle.net/1959.13/1330437
Description: We refer to eigenfunctions of the kernel corresponding to truncation in a time interval followed by truncation in a frequency band as bandpass prelates (BPPs). We prove frame bounds for certain famili... More
Reviewed: Reviewed
Date: 2012
Language: eng
Resource Type: book
Identifier: http://hdl.handle.net/1959.13/1327953
Description: Increasingly important in the field of communications, the study of time and band limiting is crucial for the modeling and analysis of multiband signals. This concise but comprehensive monograph is th... More
Date: 2012
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1326121
Description: A method is given for local numerical approximation of functions ψ that are multiband limited to a finite union of frequency bands and approximately time-limited to an interval [−T, T] in the sense th... More
Reviewed: Reviewed
Date: 2013
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/1299503
Description: This letter provides a technique for numerical evaluation of certain eigenfunctions of the integral kernel operator corresponding to time truncation of a square-integrable function to a finite interva... More
Reviewed: Reviewed
Date: 2008
Language: eng
Resource Type: book chapter
Identifier: http://hdl.handle.net/1959.13/804840
Description: This chapter develops aspects of previous work that pertain distinctly to band-limited functions. In particular, we discuss some representation formulas for band-limited functions in terms of periodic... More
Date: 2010
Language: eng
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/928928
Description: 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 time- and bandl... More
Reviewed: Reviewed
Date: 2005
Language: eng
Resource Type: book
Identifier: http://hdl.handle.net/1959.13/44795
Description: Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separa... More
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