Simulation results are presented to illustrate the performance of our method.
📌 3 Key Takeaways
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Objective & Hypothesis:In this work, we present a discrete fractional Gabor representation on a general, non-rectangular time-frequency lattice.
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Key Findings & Data:The proposed fractional Gabor method uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling.
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Conclusion & Impact:Simulation results are presented to illustrate the performance of our method.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this work, we present a discrete fractional Gabor representation on a general, non-rectangular time-frequency lattice. The traditional Gabor expansion represents a signal in terms of time and frequency shifted basis functions, called Gabor logons. This constant-bandwidth analysis uses a fixed, and rectangular time-frequency plane tiling. Many of the practical signals require a more flexible, non-rectangular time-frequency lattice for a compact representation. The proposed fractional Gabor method uses a set of basis functions that are related to the fractional Fourier basis and generate a non-rectangular tiling. Simulation results are presented to illustrate the performance of our method.
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Cite This Article
AKAN, A., ÇEKİÇ, Y., CHAPARRO, L. F. (2022). A discrete fractional gabor expansion for time frequency signal analysis. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 2 - Sayı: 2, 483–487. https://ajindex.com/articles/543947
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