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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Comparative analysis of echo processors and alternative processing devices

Л. А. Рассветалов

Published Sep 26, 1997• 1 citation
Publisher

Abstract

Inherent possibilities of digital processing of broadband signals and images envisaging further development are considered. The greatest problems in this regard arise when we attempt to perform such integrated transformations as Fourier convolution and transformation, requiring a great many of operations of multiplication and addition. While amplification of velocity of switching of the basic elements has a theoretical limit, the degree of paralleling of multiprocessor systems is limited by the complexity of control devices. One of the ways of essential amplification of the processing systems' speed consists in execution of integrated transformations via specialized analog processors, which become a constituent of the common multiprocessor system. The role of such analog devices can be taken by echo-processors, among which the photon echo-processor (PEP) exceeds its analogs by many basic parameters. The latter has an important advantage, i.e. an ability to process both one-dimensional signals, and fields and images within one step of its work.

DOI
10.1117/12.287711

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Inherent possibilities of digital processing of broadband signals and images envisaging further development are considered. The greatest problems in this regard arise when we attempt to perform such integrated transformations as Fourier convolution and transformation, requiring a great many of operations of multiplication and addition. While amplification of velocity of switching of the basic elements has a theoretical limit, the degree of paralleling of multiprocessor systems is limited by the complexity of control devices. One of the ways of essential amplification of the processing systems' speed consists in execution of integrated transformations via specialized analog processors, which become a constituent of the common multiprocessor system. The role of such analog devices can be taken by echo-processors, among which the photon echo-processor (PEP) exceeds its analogs by many basic parameters. The latter has an important advantage, i.e. an ability to process both one-dimensional signals, and fields and images within one step of its work.
Principles for optical digital data processing based on photon echo phenomenon in resonant media are considered. The various schemes of optical processors realization with the pixel structure and of holographic type based on using the digital multiplication by the analog convolution algorithm is suggested. Methods of optical data flow control of digital informational on the basis of photon echo phenomenon are discussed. Interconnections' switching schemes in a sequential in time and parallel in space codes are suggested.
Principles for analog and digital optical processing based on the two- pulse photon echo (PE) phenomenon are considered. Various architecture designs of optical pattern recognition systems and optical processors for analog and digital processing are discussed. Also various schemes of digital processors for vector-matrix multiplication with the pixel structure and of holographic type are suggested. These realizations depend on using of digital temporal or spatial mixed binary multiplication based on the PE.
Prime motivators in the evolution of increasingly sophisticated communication and detection systems are the needs for handling ever wider signal bandwidths and higher data processing speeds. These same needs drive the development of electronic device technology. Until recently the superconductive community has been tightly focused on digital devices for high speed computers. The purpose of this paper is to describe opportunities and challenges which exist for both analog and digital devices in a less familiar area, that of wideband signal processing. The function and purpose of analog signal-processing components, including matched filters, correlators and Fourier transformers, will be described and examples of superconductive implementations given. A canonic signal-processing system is then configured using these components in combination with analog/digital converters and digital output circuits to highlight the important issues of dynamic range, accuracy and equivalent computation rate. Superconductive circuits hold promise for processing signals of 10-GHz bandwidth. Signal processing systems, however, can be properly designed and implemented only through a synergistic combination of the talents of device physicists, circuit designers, algorithm architects and system engineers. An immediate challenge to the applied superconductivity community is to begin sharing ideas with these other researchers.
All-quantum signal processing techniques are at the core of the successful advancement of most information-based quantum technologies. This article develops coherent and comprehensive methodologies and mathematical models to describe Fourier optical signal processing in full quantum terms for any input quantum state of light. We begin this article by introducing a spatially 2-D quantum state of a photon, associated with its wavefront and expressible as a 2-D creation operator. Then, by breaking down the Fourier optical processing apparatus into its key components, we strive to acquire the quantum unitary transformation or the input/output quantum relation of the 2-D creation operators. Subsequently, we take advantage of the above results to develop and obtain the quantum analogous of a few essential Fourier optical apparatuses, such as quantum convolution via a 4f-processing system and a quantum 4f-processing system with periodic pupils. Moreover, due to the importance and widespread use of optical pulse shaping in various optical communications and optical sciences fields, we also present an analogous system in full quantum terms, namely quantum pulse shaping with an 8f-processing system. Finally, we apply our results to two extreme examples of the quantum state of light. One is based on a coherent (Glauber) state and the other on a single-photon number (Fock) state for each of the above optical systems. We believe the schemes and mathematical models developed in this article can impact many areas of quantum optical signal processing, quantum holography, quantum communications, quantum radars and multiple-input/multiple-output antennas, and many more applications in quantum imaging, quantum computations, and quantum machine learning algorithms.