A two lens optical Fourier transformation is shown to be equivalent to an electronic chirp transform. For discrete time signals this transformation becomes the discrete chirp-z-transform. The chirp-z-transform can be implemented using either charge transfer devices or surface acoustic wave devices. Through the use of appropriate architectures, a long one-dimensional chirp-z-transform can be rewritten as a modular chirp-z transform using both charge transfer devices and surface acoustic wave devices. Thus in a manner similar to the means by which a two-dimensional lens system can process large one-dimensional signals, so a combination of electronic components configured as a modular chirp-z-transform can process the same signal without the need for an optical system.
Keith BromleyAnthony C. H. LouieRichard D. MartinJ. J. SymanskiThomas E. KeenanMichael A. Monahan
Steven T. JohnsDouglas A. NortonReinhard ErdmannRichard Soref