https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 Prolate Shift Frames and Sampling of Bandlimited Functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:42638 Wed 31 Aug 2022 09:32:26 AEST ]]> Properties of Clifford-Legendre Polynomials https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:51143 Wed 23 Aug 2023 12:15:35 AEST ]]> Optimization in the construction of cardinal and symmetric wavelets on the line https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:46751 Tue 29 Nov 2022 15:25:35 AEDT ]]> Pseudo Clifford Bandpass Prolates https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:54550 Tue 27 Feb 2024 20:46:44 AEDT ]]> New Properties of Clifford Prolate Spheroidal Wave Functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:54452 Tue 27 Feb 2024 13:57:20 AEDT ]]> Frame properties of shifts of prolate and bandpass prolate functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32628 Tue 26 Jun 2018 15:47:16 AEST ]]> Spatio–Spectral Limiting on Replacements of Tori by Cubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:54216 Tue 13 Feb 2024 11:57:56 AEDT ]]> A Clifford Construction of Multidimensional Prolate Spheroidal Wave Functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:49659 Thu 25 May 2023 16:22:58 AEST ]]> Spatio-spectral limiting on Boolean cubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39792 Thu 23 Jun 2022 14:13:06 AEST ]]> Spatio-spectral limiting on discrete tori: adjacency invariant spaces https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39638 Thu 16 Jun 2022 14:27:16 AEST ]]> Spatio-spectral limiting on redundant cubes: a case study https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:39589 Thu 16 Jun 2022 08:40:38 AEST ]]> Optimization in the construction of nearly cardinal and nearly symmetric wavelets https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:44428 Thu 13 Oct 2022 09:51:38 AEDT ]]> Numerical computation of eigenspaces of spatio-spectral limiting on hypercubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:44426 Thu 13 Oct 2022 09:51:25 AEDT ]]> Sampling approximations for time- and bandlimiting https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:10487 Sat 24 Mar 2018 08:09:15 AEDT ]]> Letter to the editor: on the numerical evaluation of bandpass prolates https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19894 Sat 24 Mar 2018 07:57:02 AEDT ]]> Time-frequency and time-scale methods: adaptive decompositions, uncertainty principles, and sampling https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:5884 Sat 24 Mar 2018 07:49:15 AEDT ]]> Sampling and time-frequency localization of band-limited and multiband signals https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6746 Sat 24 Mar 2018 07:47:29 AEDT ]]> Frame properties of shifts of prolate spheroidal wave functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26780 Sat 24 Mar 2018 07:36:21 AEDT ]]> Prolate shift frames and their duals https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26389 Ω of square-integrable functions bandlimited to [-Ω/2, Ω/2] generated by translates φn (t - αℓ) of prolate spheroidal wave-functions φn (where α > 0 and ℓ is an integer). We estimate frame bounds and give a Fourier construction of the dual frames. An ℓ2 estimate on the decay of uniform samples of prolate functions is given to show that the computation of the duals can be done efficiently.]]> Sat 24 Mar 2018 07:33:06 AEDT ]]> Wavelet frames generated by bandpass prolate functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26390 Sat 24 Mar 2018 07:33:04 AEDT ]]> On the numerical computation of certain eigenfunctions of time and multiband limiting https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:25363 Sat 24 Mar 2018 07:24:40 AEDT ]]> Bandpass pseudo prolate shift frames and Riesz bases https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32357 PWΩ which is generated by the shifts of prolate spheroidal wave functions, we generate frames (reps. Riesz bases) for the bandpass space, and show that the frame (resp. Riesz) bounds are the same as those of the baseband frame (resp. Riesz basis).]]> Mon 28 May 2018 09:41:01 AEST ]]> Riesz bounds for prolate shifts https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32356 Mon 28 May 2018 09:41:01 AEST ]]> Sampling in Paley-Wiener spaces, uncertainty and the prolate spheroidal wavefunctions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:32355 Mon 28 May 2018 09:40:59 AEST ]]> Frame expansions of bandlimited signals using prolate spheroidal wave functions https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:43608 Mon 26 Sep 2022 15:54:45 AEST ]]> Duration and bandwidth limiting: prolate functions, sampling, and applications https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:25783 Mon 23 Jan 2017 16:42:42 AEDT ]]> An analogue of Slepian vectors on boolean hypercubes https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:36786 Mon 06 Jul 2020 09:53:42 AEST ]]> Clifford Prolate Spheroidal Wavefunctions and Associated Shift Frames https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:54941 Fri 22 Mar 2024 15:28:22 AEDT ]]>