Velasco, Gino Angelo
Associate Professor
Research Interests
Time-frequency analysis and its applications to audio signal processing. Sampling theory. Approximation theory.
Time-frequency analysis and its applications to audio signal processing. Sampling theory. Approximation theory.
Academic Groups
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Education
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Dr.rer.nat. Mathematics (2015)
University of ViennaDissertation: Time-Frequency Localization and Sampling in Gabor Analysis
Adviser: Prof. Dr. Hans Georg Feichtinger -
M.S. Mathematics (2006)
University of the Philippines DilimanThesis: Zeros of Fourier Transforms and Markov-Bernstein Inequalities
Adviser: Prof. Dr. Noli N. Reyes -
B.S. Mathematics (2001)
University of the Philippines DilimanThesis: Second Order Differential Operators Having Normal Extensions
Adviser: Dr. Maritina T. Castillo
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Dr.rer.nat. Mathematics (2015)
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Teaching
Second Semester A.Y. 2023-2024
- Math 23 (Elementary Analysis III)
- TWHFQ-1: TWThF 7:15 am – 8:15 am (WF: MB 126)
- TWHFR-1: TWThF 8:45 am – 9:45 am (WF: MB 126)
- Math 123.1 (Advanced Calculus I)
- WFX: WF 2:30 pm – 4:00 pm (MB 126)
Consultation Hours: TTh 12:30 pm – 4:00 pm, WF 10:00 am – 11:30 am - Math 23 (Elementary Analysis III)
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Publications
- A. Lamando and G.A. Velasco. Adaptive frames from quilted local time-frequency systems. Proceedings of the 13th International Conference on Sampling Theory and Applications (SampTA 2019), 2019.
- G.A.M. Velasco and M. Dörfler. Sampling time-frequency localized functions and constructing localized time-frequency frames. European Journal of Applied Mathematics, 28(5): 854-876, 2017.
- M. Dörfler and G.A. Velasco. Adaptive Gabor frames by projection onto time-frequency subspaces. Proceedings of the 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), Florence, Italy, pp. 3097-3101, 2014.
- N. Holighaus, M. Dörfler, G.A. Velasco, and T. Grill. A framework for invertible, real-time constant-Q transforms. IEEE Transactions on Audio, Speech and Language Processing, 21(4):775-785, 2013.
- H.G. Feichtinger, J.C. Príncipe, J.L. Romero, A. Singh Alvarado, and G.A. Velasco. Approximate reconstruction of bandlimited functions for the integrate and fire sampler. Advances in Computational Mathematics, 36(1):67-78, 2012.
- A. Holzapfel, G.A. Velasco, N. Holighaus, M. Dörfler, and A. Flexer. Advantages of nonstationary Gabor transforms in beat tracking. Proceedings of the First International ACM Workshop on Music Information Retrieval with User-Centered and Multimodal Strategies (ACM MIRUM), Scottsdale, Arizona, USA, 2011.
- P. Balazs, M. Dörfler, N. Holighaus, F. Jaillet, and G. Velasco. Theory, implementation and applications of nonstationary Gabor frames. Journal of Computational and Applied Mathematics, 236(6):1481-1496, 2011.
- G.A. Velasco, N. Holighaus, M. Dörfler, and T. Grill. Constructing an invertible constant-Q transform with nonstationary Gabor frames. Proceedings of the 14th International Conference on Digital Audio Effects (DAFx-11), Paris, France, pp.93-99, 2011. (Best Student Paper Award – Gold)
- M. Dörfler, G. Velasco, A. Flexer, and V. Klien. Sparse regression in time-frequency representations of complex audio. Proceedings of the 7th Sound and Music Computing Conference (SMC’10), Barcelona, Spain, 2010.
- S.Gy. Révész, N.N. Reyes, and G.A.M. Velasco. Oscillation of Fourier transforms and Markov-Bernstein inequalities. Journal of Approximation Theory, 145(1):100-110, 2007.