Article detail · 2008
Digital Computation of Linear Canonical Transforms
- Year
- 2008
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue IEEE TRANSACTIONS ON SIGNAL PROCESSING
- Catalog match (ISSN) IEEE Transactions on Signal Processing
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
We deal with the problem of efficient and accurate digital computation of the samples of the linear canonical transform (LCT) of a function, from the samples of the original function. Two approaches are presented and compared. The first is based on decomposition of the LCT into chirp multiplication, Fourier transformation, and scaling operations. The second is based on decomposition of the LCT into a fractional Fourier transform followed by scaling and chirp multiplication. Both algorithms take ~ N log N time, where N is the time-bandwidth product of the signals. The only essential deviation from exactness arises from the approximation of a continuous Fourier transform with the discrete Fourier transform. Thus, the algorithms compute LCTs with a performance similar to that of the fast Fourier transform algorithm in computing the Fourier transform, both in terms of speed and accuracy.
Topics
Citations
OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.
164 citations
OpenAlex cited_by_count (cache / database)
18 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Exact Relation Between Continuous and Discrete Linear Canonical Transforms 2009
- Fast and accurate computation of two-dimensional non-separable quadratic-phase integrals 2010
- Equivalence of linear canonical transform domains to fractional Fourier domains and the bicanonical width product: a generalization of the space–bandwidth product 2010
- Trainable Fractional Fourier Transform 2024
- Discrete Linear Canonical Transform Based on Hyperdifferential Operators 2019
- Sparse representation of two- and three-dimensional images with fractional Fourier, Hartley, linear canonical, and Haar wavelet transforms 2017
- Fast and accurate algorithm for the computation of complex linear canonical transforms 2010
- Phase-space window and degrees of freedom of optical systems with multiple apertures 2013
- Optical information processing: A historical overview 2021
- Operator theory-based computation of linear canonical transforms 2021