Signal Processing

Download Multidimensional Signal, Image, and Video Processing and by John W. Woods PDF

By John W. Woods

This booklet offers a concise advent to either snapshot and video processing, offering a balanced assurance among idea, purposes and criteria. It provides an creation to either 2-D and 3D sign processing concept, supported through an creation to random approaches and a few crucial effects from details thought, supplying the required starting place for an entire figuring out of the picture and video processing ideas that persist with. an important new function is the reason of sensible community coding equipment for picture and video transmission. there's additionally assurance of recent ways reminiscent of: super-resolution equipment, non-local processing, and directional transforms. This ebook additionally has online aid that includes many brief MATLAB courses that supplement examples and routines on multidimensional sign, picture, and video processing. there are many brief videos exhibiting functions in video processing and coding, plus a replica of the vidview video participant for enjoying .yuv video documents on a home windows notebook and a demonstration of the impact of packet loss on H.264/AVC coded bitstreams. New to this variation: New appendices on random procedures, info conception New insurance of photograph research - part detection, linking, clustering, and segmentation elevated assurance on photo sensing and conception, together with colour areas. Now summarizes the recent MPEG coding criteria: scalable video coding (SVC) and multiview video coding (MVC), as well as assurance of H.264/AVC. up to date video processing fabric together with new instance on scalable video coding and extra fabric on item- and region-based video coding. extra on video coding for networks together with useful community coding (PNC), highlighting the numerous merits of PNC for either video downloading and streaming. New assurance of super-resolution tools for picture and video.Only R&D point educational that offers an built-in therapy of photo and video processing - themes which are interconnected. New chapters on introductory random procedures, info concept, and picture enhancement and analysisCoverage and dialogue of the newest criteria in video coding: H.264/AVC and the hot scalable video regular (SVC)

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Extra info for Multidimensional Signal, Image, and Video Processing and Coding, Second Edition

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What is the inverse Fourier transform of |X(ω1 , ω2 )|2 ? 13. A certain ideal lowpass filter with cutoff frequency ωc = response 1 π hd (n1 , n2 ) = J1 n21 + n22 . 2 2 2 n1 + n2 What is the passband gain of this filter? (Hint: lim x→0 J1 (x) x = 12 ) π 2 has impulse Problems 14. Consider the ideal filter with elliptically shaped frequency response He (ω1 , ω2 ) = 1 (ω1 /ωc1 )2 + (ω2 /ωc2 )2 ≤ 1, in [−π , +π ] × [−π , +π ], 0 else, and find the corresponding impulse response he (n1 , n2 ). 15. We know that the ideal impulse response for a circular support lowpass filter is given in terms of the Bessel function J1 .

Then, by definition of the sample locations, +∞ +∞ Xc (Ω) exp + j(Ω T Vn) dΩ, −∞ −∞ V T Ω becomes 1 x(n) = (2π )2 +∞ +∞ Xc (V −T ω) exp + j(ωT n) −∞ −∞ dω . 2–2) V −T Here, denotes the inverse of the transpose sampling matrix V T , where the notational simplification is permitted because the order of transpose and inverse commutes for invertible matrices. 1–1) of the last section, and valid for the same reason. We can now invoke the uniqueness of the inverse Fourier transform for 2-D discrete space to conclude that the discrete-space Fourier transform X(ω) must be given as X(ω) = 1 |det V| Xc [V −T (ω − 2π k)] , all k where the discrete-space Fourier transform X(ω) is n x(n) exp(− jωT n), just as usual.

A) y(n1 , n2 ) = 3x(n1 , n2 ) − x(n1 − 1, n2 ) (b) y(n1 , n2 ) = 3x(n1 , n2 ) − y(n1 − 1, n2 ) Any additional information needed? (c) y(n1 , n2 ) = (k1 ,k2 )∈W(n1 ,n2 ) x(k1 , k2 ) Here, W(n1 , n2 ) {(n1 , n2 ), (n1 − 1, n2 ), (n1 , n2 − 1), (n1 − 1, n2 − 1)}. 31 32 CHAPTER 1 Two-Dimensional Signals and Systems (d) For the same region W(n1 , n2 ), but now y(n1 , n2 ) = x(n1 − k1 , n2 − k2 ) (k1 ,k2 )∈W(n1 ,n2 ). What can you say about the stability of each of these systems? 7. Consider the 2-D signal x(n1 , n2 ) = 4 + 2 cos 2π 2π (n1 + n2 ) + 2 cos (n1 − n2 ) , 8 8 for all −∞ < n1 , n2 < +∞.

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