Advances in sampling theory and techniques [E-Book] / author: Leonid P. Yaroslavsky
Yaroslavsky, Leonid P., (author)
Bellingham, Washington : SPIE, 2020
1 online resource (214 pages)
SPIE Press monograph ; PM315
Full Text
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245 |a Advances in sampling theory and techniques  |h [E-Book] /  |c author: Leonid P. Yaroslavsky 
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505 |a Introduction -- Sampling Theorems -- Compressed Sensing Demystified -- Image Sampling and Reconstruction with Sampling Rates Close to the Theoretical Minimum -- Signal and Image Resampling, and Building Their Continuous Models -- Discrete Sinc Interpolation in Other Applications and Implementations -- The Discrete Uncertainty Principle, Sinc-lets, and Other Peculiar Properties of Sampled Signals -- Basic Principles of Discrete Representation of Signal Transformations -- Discrete Representation of the Convolution Integral -- Discrete Representation of the Fourier Integral Transform -- Appendix 1: Fourier Series, Integral Fourier Transform, and Delta Function -- Appendix 2: Discrete Fourier Transforms and Their Properties 
520 |a This book provides both the most updated formulations of the sampling theory and practical algorithms of image sampling with sampling rates close to the theoretical minimum, as well interpolation-error-free methods of image resampling and the theory of discrete representation of signal integral transforms. Topics include classical sampling theory, compressed sensing, non-redundant sampling, fast signal resampling algorithms, the discrete uncertainty principle, digital convolution, and various versions of discrete Fourier transforms. Exercises based in MATLAB supplement the text throughout. 
650 0 |a Signal processing -- Digital techniques -- Mathematics. 
650 0 |a Image processing -- Digital techniques -- Mathematics. 
650 0 |a Fourier transformations. 
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