Signal and Image Representation in Combined Spaces by Yehoshua Zeevi, Ronald Coifman

By Yehoshua Zeevi, Ronald Coifman

This quantity explains how the hot advances in wavelet research supply new capability for multiresolution research and describes its big range of strong instruments. The publication covers adaptations of the windowed Fourier remodel, structures of specified waveforms compatible for particular initiatives, using redundant representations in reconstruction and enhancement, functions of effective numerical compression as a device for quick numerical research, and approximation homes of assorted waveforms in numerous contexts.

Show description

Read or Download Signal and Image Representation in Combined Spaces PDF

Similar signal processing books

Survivability and Traffic Grooming in WDM Optical Networks

The appearance of fiber optic transmission platforms and wavelength department multiplexing has ended in a dramatic raise within the usable bandwidth of unmarried fiber structures. This publication offers precise insurance of survivability (dealing with the danger of wasting huge volumes of site visitors information because of a failure of a node or a unmarried fiber span) and site visitors grooming (managing the elevated complexity of smaller person requests over excessive ability facts pipes), either one of that are key matters in smooth optical networks.

Principles of Semiconductor Network Testing (Test & Measurement)

This e-book gathers jointly complete info which try out and method execs will locate valuable. The options defined may also help make sure that try out equipment and information accrued replicate real equipment functionality, instead of 'testing the tester' or being misplaced within the noise ground. This publication addresses the elemental concerns underlying the semiconductor try out self-discipline.

Opportunistic Spectrum Sharing and White Space Access: The Practical Reality

Information the paradigms of opportunistic spectrum sharing and white area entry as powerful capability to fulfill expanding call for for high-speed instant communique and for novel instant conversation purposes This publication addresses opportunistic spectrum sharing and white area entry, being rather aware of functional issues and options.

From photon to pixel : the digital camera handbook

The digicam conceals striking technological concepts that impact the formation of the picture, the colour illustration or automatic measurements and settings. ** From photon to pixel photon ** describes the equipment either from the perspective of the physics of the phenomena concerned, as technical elements and software program it makes use of.

Extra resources for Signal and Image Representation in Combined Spaces

Sample text

They are particularly suitable in a distributed memory multiprocessor system. For example, in the critically sampled case, the algorithm can be implemented as follows: • Each processor receives Ki X-point input data • Compute Ki K-point real FFT • Point-wise multiplication of the pre-calculated Zak transform of the basis function l/Z{K)g{a, b) • Compute Ki /T-point Hermitian FFT • Data permutation between processors (matrix transpose) • Compute K2 M-point real FFT Implementation of an integer over-sampled case has a similar structure to the critically sampled case, and the rationally over-sampled case has a better parallel structure, since it has 5 ' relatively small 2-D ^ x M M.

Let us, for the sake of simplicity, take A^ odd, which implies that there is a sampling point at t = 0. 17)) -3/2 Nw[n] ^ 2 - ^ ( ^ y (-l)me-[i"/^)'-(rn+hf\ (5. 19) with m defined by {m- ^)N < \n\ < {m + ^)N. 18)), the function \w[n]\ does eventually decrease exponentially with increasing value of |n|. A similar result holds when N is chosen even. 8) of discrete-time signals. 6) m k= which is periodic in the discrete time index n with period iV, and periodic in the continuous frequency variable 6 with period 0 .

An was supported by ARPA F49620-C-91-0098, and research of R. Tolimieri is supported by AFOSR RF#447323. 20 M. An et al. , G. Kechriotis, C. Lu, and R. Tolimieri, The computation of Weyl-Heisenberg coefficients for critically sampled and over-sampled signals, Proceedings of the Int. Conf. SPAT ICSPAT94 2, October 1994, pp. 824-829. 2] Auslander, L. and R. Tolimieri, On finite Gabor expansion of signals, IMA Pvoc. Signal Processing, Springer-Verlag, New York, 1988. , I. Gertner, and R. Tolimieri, Finite Zak transforms and the finite Fourier transforms, IMA on Radar and Sonar, Part II 39 Springer-Verlag, New York, 1991, 21-36.

Download PDF sample

Rated 4.89 of 5 – based on 19 votes