A unified approach is developed to three important areas of signal and image processing: pulse compression and real-time spectrum analysis, fiber-cable communications and dispersion, and Fresnel diffraction and optical filtering. The results are based on the properties of quadratic phase filters and Fresnel transforms, and they lead to a variety of analogies among the time responses of fiber cables, the spatial variations of diffracted fields, and the role of frequency modulation in narrow-band systems. The analysis includes deterministic and stochastic excitations.
© 1994 Optical Society of America
Original Manuscript: December 17, 1992
Revised Manuscript: June 15, 1993
Manuscript Accepted: June 23, 1993
Published: January 1, 1994
Athanasios Papoulis, "Pulse compression, fiber communications, and diffraction: a unified approach," J. Opt. Soc. Am. A 11, 3-13 (1994)