Abstract

The wavelet transform, which has had a growing importance in signal and image processing, has been generalized by association with both the wavelet transform and the fractional Fourier transform. Possible implementations of the new transformation are in image compression, image transmission, transient signal processing, etc. Computer simulations demonstrate the abilities of the novel transform. Optical implementation of this transform is briefly discussed.

© 1997 Optical Society of America

Full Article  |  PDF Article
More Like This
Combinatorial optical complex wavelet-fractional Fourier transform

Cui-Hong Lv, Fei-Fei Tang, and Li-Juan Shi
J. Opt. Soc. Am. A 36(7) 1146-1151 (2019)

Sensitivity of the fractional Fourier transform to parameters and its application in optical measurement

Zhiping Jiang, Qisheng Lu, and Yijun Zhao
Appl. Opt. 36(32) 8455-8458 (1997)

Wavelet transform as a bank of the matched filters

Harold Szu, Yunlong Sheng, and Jing Chen
Appl. Opt. 31(17) 3267-3277 (1992)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription