اپتیک تبدیل هادامارد

Hadamard Transform Optics focuses on Hadamard transform optics and Hadamard encoded optical instruments. The techniques developed to date are described, and a unified mathematical treatment that should facilitate comparisons between different classes of instruments is presented. With this approach, encoded Hadamard transform spectrometers are discussed in very much the same way as encoded imaging devices. The advantages offered by singly and multiply encoded instruments designed for a wide variety of purposes are also considered. This book is comprised of seven chapters and begins with an introduction to optical multiplexing techniques, as well as the connections with weighing designs, along with the best masks for use in optical instruments and the improvement in signal-to-noise ratio that should be produced by multiplexing. Spectrometers which make use of multiplexing, including the Michelson and Mach-Zehnder interferometers and Golay's multislit spectrometers, are then described. Subsequent chapters deal with the basic theory of Hadamard transform spectrometers and imagers; factors that affect the signal-to-noise ratio; and instrumental considerations and systematic errors in instruments. The final chapter looks at some of the applications of Hadamard transform optics, including image processing and in fields such as astronomy and medicine. This monograph will be a useful resource for physicists. Content: Front Matter , Page iii Copyright , Page iv PREFACE , Pages ix-xi ACKNOWLEDGMENTS , Pages xiii-xiv Chapter 1 - An Introduction to Optical Multiplexing Techniques , Pages 1-19 Chapter 2 - A Survey of Multiplexing Spectrometers , Pages 20-43 Chapter 3 - The Basic Theory of Hadamard Transform Spectrometers and Imagers , Pages 44-95 Chapter 4 - Noise or When to Multiplex and When to Avoid It , Pages 96-108 Chapter 5 - Instrumental Considerations , Pages 109-145 Chapter 6 - Systematic Errors , Pages 146-180 Chapter 7 - Applications , Pages 181-199 Appendix - Hadamard and S-Matrices, Walsh Functions, Pseudo-Random Sequences, and the Fast Hadamard Transform , Pages 200-228 Bibliography , Pages 229-243 INDEX , Pages 245-249