wavelets and upsampling 237

... Wavelets and Filter Banks 35.1 Filter Banks and Wavelets Deriving Continuous-Time Bases From Discrete-Time Ones • Two-Channel Filter Banks and Wavelets • Structure of ... autocorrelation, and H0 (z) and G0 (z) are its spectral factors • Linear phase: P (z) is linear phase, and H0 (z) and G0 (z) are its linear phase factors • Finite support: P (z) is FIR, and H0 (z) and G0 ... φ(x) and φ(x) ˇ That ψ(x) and ψ(x) have bounded support follow from (35.20) and (35.21) PROOF 35.2 1) + and (2i ˇ If the filters belong to a linear phase filter bank, then φ(x), ψ(x), φ(x), and...

Ngày tải lên: 25/12/2013, 06:16

... been wavelets and their discretetime cousins, filter banks or subband coding From work in harmonic analysis and mathematical physics, and from applications such as speech/image compression and ... Transform and Lapped Transform Coding of Images 7.3.2 Pyramid Coding of Images 7.3.3 Subband and Wavelet Coding of Images 7.3.4 Advanced Methods in Subband and Wavelet ... articles and even new journals! To us, the book by I Daubechies [73] has been invaluable, and Chapters and have been substantially influenced by it Like the standard book by Meyer [194] and a recent...

Ngày tải lên: 03/01/2014, 23:54

... frequency The 4th-order cumulant and time Kurtosis use the signal in time domain and are obtained via estimators calculated from the signal samples and affected by bias and variance [4] Their frequency ... time-scale plane segmented in blocks and representing a wavelets basis Each block is a basis vector and corresponds to the main wavelet affected by some delay and scale factor The representation ... detected and located where higher energetical wavelet coefficients are obtained in the distribution In 1996, an efficient method blending the advantages of both HOS and wavelets was proposed to detect and...

Ngày tải lên: 21/06/2014, 19:20

... www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution ... www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution ... www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution Processing © 1992–2008 R C Gonzalez & R E Woods Digital Image Processing, 3rd ed Gonzalez & Woods www.ImageProcessingPlace.com Chapter Wavelets and Multiresolution...

Ngày tải lên: 03/07/2015, 15:27

... Summary and Remarks 72 Signal Singularities: Detection, Analysis and Synthesis 85 5.1 Signal Regularity and Lipschitz Exponent 86 5.2 Wavelets and ... from L1 and L2 layers, In relation to the framework proposed in figure 1.5 and 1.6, the objective of our research is to design analysis tools and coding techniques for L1 and L2 layers using wavelets ... what is called subband filtering in signal processing We first define subband filtering and show that wavelet decomposition simply amounts to subband filtering with a pair of lowpass and highpass filters...

Ngày tải lên: 16/09/2015, 08:31

... Draganska, Andrea Tiersch and Kerstin Zanter Un tr`s grand merci! e Berlin-Paris, September 1997 Wolfgang H¨rdle a Gerard Kerkyacharian, Dominique Picard Alexander Tsybakov vi Symbols and Notation ... DATA COMPRESSION Figure 1.9: Sine and cosine waves and wavelets (D10) Figure 1.10: The step function and the Fourier series approximation with terms 10 CHAPTER WAVELETS The Haar basis consists ... the aim of the theory of wavelets is to construct orthonormal bases composed of wavelets Besides the already discussed localization property of wavelets there are CHAPTER WAVELETS other remarkable...

Ngày tải lên: 08/04/2014, 12:18

... location within each subband, and each subband is the same size as the original image B j , H j , V j , and D j denote the baseband, horizontal, vertical, and diagonal subbands, respectively, at ... include boundary wavelets, wavelets on irregular sampling, and wavelets that map integers to integers [17, 18]; see [129] for an extensive overview of both first- and second-generation wavelets based ... a tandem communication scheme However, Shannon’s separation theorem, and thus tandem communication, is valid only for blocks of source and channel symbols sufficiently long and for encoders and...

Ngày tải lên: 22/06/2014, 19:20

... Transforms, Subbands, and Wavelets Ali N Akansu and Richard A Haddad New Jersey Institute of Technology Newark, NJ Other Books in the Series Hseuh-Ming Hang and John W Woods, Handbook of Visual ... Tsong-Ho Wu and Noriaki Yoshikai, ATM Transport and Network Integrity: 1997 Shuo-Yen and Robert Li, Algebraic Switching Theory and Broadband Applications: 1999 Winston I Way, Broadband Hybrid ... packets: (1) Chapters and on block transforms and time-frequency methods (2) Chapters arid on theory and design of rnultirate filter banks (3) Chapters and on wavelets and transform applications...

Ngày tải lên: 08/08/2014, 01:21

... sequences and are gray coded as 110 and 111, respectively; bit reversal gives Oil and 111, which are the binary representations of rows and in the natural-ordered Hadamard matrix Row has sequence and ... extension of the ID random sequence is the random field, a 2D grid of random variables Many properties of the 2D random sequences are extrapolations of the ID progenitor (Haddad and Parsons, 1991) ... The associated Hermite and Binomial transformation matrices are where we are using the notation Hrk = Hr(k), and Xr^ = Xr(k) The matrix H is real and symmetric; the rows and columns of X are orthogonal...

Ngày tải lên: 08/08/2014, 01:21

... uniform filter bank 3.2 Bandpass and Modulated Signals In this section we look at bandpass signals and examine how modulation and demodulation can be achieved by decimation and interpolation The ... SUBBAND DECOMPOSITION Figure 3.14: Integer-band sampling configuration 3.2 BANDPASS AND MODULATED SIGNALS 131 Figure 3.15: The spectrum of a band-pass signal Figure 3.16: Quadrature modulation and ... equal ripple in passband and stopband 3.3 MTH BAND, MIRROR, & POWER COMPLEMENTARY FILTERS 135 The polyphase expansion of this half-band filter with M = reduces to The M th band filter is an extension...

Ngày tải lên: 08/08/2014, 01:21

... decimate and interpolate this error signal Prom Fig 3.30, If we put Eqs (3.54) and (3.55) in this equation, and then add XQ and X\, we get the reconstructed signal 154 CHAPTERS THEORY OF SUBBAND DECOMPOSITION ... Vetterli and LeGall (1989), and Malvar (Elect Letts., 1990) and attempt to establish the commonality of these 3.5, M-BAND FILTER BANKS level level level (a) 4-tap Binomial-QMF Half Band Regular ... Band Regular Tree # of bands GTC # of bands Gfr 2 3.6389 3.9462 6.4321 7.2290 8.0147 9.1604 16 8.6503 9.9407 (b) 6-tap Binomial-QMF Half Band Regular Tree # of bands # of bands GTC GTC 2 3.7608...

Ngày tải lên: 08/08/2014, 01:21

... by Ansari and Lau (1987) and Ansari (1987), is chosen to demonstrate the connection between the shape of the desired band split and the decimation lattice and to illustrate how the subbands propagate ... down-sampled and up-sampled spectra at nodes (3) and (4) are obtained by particularizing Eqs (3.313) and (3.311) For the case at hand 3.9 TWO-DIMENSIONAL SUBBAND DECOMPOSITION 253 Figure 3.74: Subbands ... pixel locations in an image The Z and Fourier transforms (Dudgeon and Mersereau 1984) are 3.9 TWO-DIMENSIONAL SUBBAND DECOMPOSITION 237 The notation can be simplified and the relationship to the ID...

Ngày tải lên: 08/08/2014, 01:21

... Filters-Criteria Specification and Design Method,1' IEEE Trans ASSP, Vol ASSP-33, pp 413-420, 1985 F Miritzer, "On Half-band, Third-band and Nth-band FIR Filters and Their Design," IEEE Trans, ... Goodman and M J Carey, "Nine Digital Filters for Decimation and Interpolation," IEEE Trans ASSP, Vol ASSP-25, pp 121-126, Apr 1977 R A Gopinath and C S Burrus, "On Upsampling, Downsampling and Rational ... 51-61, 1986 H Gharavi and A Tabatabai, "Sub-band Coding of Monochrome and Color Images," IEEE Trans, on Circuits and Systems, Vol CAS-35, pp 207-214, Feb 1988 R C Gonzales and P Wintz, Digital...

Ngày tải lên: 08/08/2014, 01:21

... 5.15: Frequency responses of (a) x x and 8x8 DOT, and (b) 2-band 4-band, and 8-band binomial QMF-based hierarchical structure 5.5.3 Localization in Dyadic and Irregular Trees Filter banks based ... niters of the two-band binomial QMF-based hierarchical tree for the (a) two-band, (b) four-band, and (c) eightband case TIME-FREQUENCY LOCALIZATION UJ B-QMF Hierarchical 8-Band Tree (50-tap product ... hierarchical subband trees, and direct M-band paraunitary filter banks We presented a methodology for rigorous modeling and optimal compensation for quantization effects in M-band codecs, and showed...

Ngày tải lên: 08/08/2014, 01:21

... transform and the dyadic or octave-band subband tree The Haar wavelets, which are discontinuous in time, and the Shannon wavelets, discontinuous in frequency, are introduced to provide simple and easily ... consists of two groups: Group A has narrow bands of width (?r/6) each and time duration (from to 5), and group B has one broad band of width (?r/2) and duration (from to 7) This is achieved by ... are eight time slots and eight frequency slots, and the energy concentration is in the frequency bands The basis functions of these transforms are clearly frequency-selective and c«n be regarded...

Ngày tải lên: 08/08/2014, 01:21

... Akarisu and M J Medley, Eds., Wavelet, Subband and Block Transforms in Communications and Multimedia Kluwer, 1999 A N Akansu and M J T Smith, Eds., Subband arid Wavelet Transforms: Design and Applications ... Vetterli and C Herley, "Wavelets and Filter Banks: Relationships and New Results," Proc IEEE ICASSP, pp 1723-1726, 1990 M Vetterli and C Herley, "Wavelets arid Filter Banks: Theory and Design," ... the analysis and synthesis sections (Vetterli and Herley, 1992), where and 6.4 BIORTHOGONAL WAVELETS AND FILTER BANKS 435 (The noncausal paraunitary solution was go(n) — /IQ(^), and g\(n) — hi(n})...

Ngày tải lên: 08/08/2014, 01:21

... subband tree, regular or irregular tree (equal or unequal bandwidth subbands), consisting of two-band and/ or three-band (equal bandwidth) prototype filter bank cells The TSA considers both two-band ... Akansu and M J T Smith, Eds,, Subband and Wavelet Transforms: Design and Applications Kluwer, 1996 J W Ketchum and J G Proakis, "Adaptive Algorithms for Estimating and Suppressing Narrow-Band Interference ... Z Xiong and R Rajagopalan, Subband Image Compression, in A N Akansu and M J Medley, Eds., Wavelet, Subband and Block Transforms in Communications and Multimedia Kluwer, 1999 A.Peled and A.Ruiz,...

Ngày tải lên: 08/08/2014, 01:21

Ngày tải lên: 13/11/2014, 10:43

Ngày tải lên: 25/05/2015, 17:20

... called wavelets The term multiwavelets refers to wavelets when r > The subspaces Vk and Wk are known as multiresolution subspace and wavelet subspace respectively Study of periodic MRs and wavelets ... 1.6, and identities (1.4) and (1.3) The substitutions are justifiable as the wavelets and their polyphase splines are continuous Theorems 2.1 and 2.2 lead to the following corollary ˆ k+1 and ... decomposition and wavelet reconstruction Studies on interpolatory scaling functions and wavelets in L2 (R) in the literature include [1], [5], [8], [14] and [16] Interpolatory periodic scaling functions and...

Ngày tải lên: 08/11/2015, 16:45