H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. Signal Processing, vol. 40, November 1992.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....filter banks, all analysis and synthesis filters are modulated versions of a single prototype. Such systems are widely used in signal processing applications, because they allow very efficient implementations based on polyphase filtering and a modulating transform. Both perfect reconstruction [1, 2, 3] and near perfect reconstruction [4] schemes are known. When a perfect reconstruction (PR) filter bank is to be implemented on a processor with finite precision arithmetic, the prototype and modulating sequences usually have to be quantized and the PR property gets lost. It is therefore of ....

H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. Signal Processing, vol. 40, November 1992.

....filter banks, all analysis and synthesis filters are modulated versions of a single prototype. Such systems are widely used in signal processing applications, because they allow very efficient implementations based on polyphase filtering and a modulating transform. Both perfect reconstruction [1, 2, 3] and near perfect reconstruction [4] schemes are known. When a perfect reconstruction (PR) filter bank is to be implemented on a processor with finite precision arithmetic, the prototype and modulating sequences usually have to be quantized and the PR property gets lost. It is therefore of ....

H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. Signal Processing, vol. 40, November 1992.

....(e mail: karp rumms.uni mannheim.de) T. Q. Nguyen is with the Department of Electrical and Computer Engineering, Boston University, Boston, MA 02215 USA (e mail: nguyent bu.edu) Publisher Item Identifier S 1053 587X(99)02139 X. on the Type IV discrete cosine transform or DCT IV [8] 10] [12], 15] 24] and the modified discrete Fourier transform (MDFT) 5] 9] These filter banks offer the advantage of high computational efficiency (employing fast DCT or DFT algorithms) and high performance filter designs [17] 21] The first fundamental constructions of modulated filter banks ....

....the Biorthogonal Case: In the paraunitary case, the synthesis filters are the flipped and conjugated versions of the analysis filters : and . This relationship is satisfied if the analysis prototype is chosen identical to the synthesis prototype and has linearphase symmetry . As shown in [10] [12], and [19] this reduces the conditions for PR stated in Theorem 1 to the well known single equation and restricts the filter bank to have a delay of samples. Consequences of the PR Condition: Theorem 1 states the PR conditions for the biorthogonal case with arbitrary length and delay. As in ....

H. Malvar, "Extended lapped transforms: Fast algorithms and applications, " IEEE Trans. Signal Processing, Nov. 1992.

....filter banks, all analysis and synthesis filters are modulated versions of a single prototype. Such systems are widely used in signal processing applications, because they allow very efficient implementations based on polyphase filtering and a modulating transform. Both perfect reconstruction [1, 2, 3] and near perfect reconstruction [4] schemes are known. When a perfect reconstruction (PR) filter bank is to be implemented on a processor with finite precision arithmetic, the prototype and modulating sequences usually have to be quantized and the PR property gets lost. It is therefore of ....

H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. Signal Processing, vol. 40, November 1992.

....via an eigenanalysis. The filter design is carried out iteratively, while the PR property is guaranteed throughout the design process. No non linear optimization routine is needed. 1. INTRODUCTION Cosine modulated filter banks are very popular in signal processing, because of their efficiency [1][2][3] 4] In this class of filter banks, all analysis and synthesis filters are modulated versions of a single prototype. The implementation of the complete filter bank depicted in Figure 1 then only requires the implementation of polyphase components of the prototype and of the modulation, which ....

....not inherently guarantee PR, but the PR requirements can be satisfied with arbitrary accuracy. A simple but efficient iterative design method for practically useful near PR prototypes was presented in [7] This method is based on the older pseudo QMF ideas ( 1] rather than on the PR constraints ([2][3] 4] so that on principle only near PR prototypes can be designed. In this paper a new design method is proposed that, like the lattice factorization, guarantees the PR property. The optimization is performed iteratively by optimizing linear combinations of impulse responses within suitable ....

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H. Malvar, "Extended lapped transforms: Fast algorithms and applications," IEEE Trans. on Signal Processing, November 1992.

....System Delay = m2N 2N Gamma 1 Number of Coefficients = mN 2N nN=2 Orthogonal filter banks with standard system delay are a special case of the above formulation. They result if F and C i are restricted to be orthogonal and no zero delay matrices are used. This leads to the ELT of Malvar [4, 5]. A cascade with minimum system delay P a = m Gamma1 Y i=0 E i Delta T (2) P s = T Gamma1 Delta m Gamma1 Y i=0 E Gamma1 m Gamma1 Gammai (3) Filter Length = mN 0:5N System Delay = N Gamma 1 Optimization ffl Is used to obtain the desired frequency responses ffl Only the ....

H.S. Malvar: "Extended Lapped Transforms: Fast Algorithms and Applications", ICASSP 1991, pp. 1797-1800

....via a transform (such as a DCT) to create the bank. These filter banks are typically very efficient computationally because fast transforms algorithms are generally employed. There have been many contributions in the literature focusing on various aspects of the design problem [1] 2] 5] 6] [7]. In this paper, a new formulation is introduced that attempts to provide a broader range of design flexibility than reported previously while maintaining a simple and compact framework. The new formulation allows for the design of a variety of efficient modulated filter banks with different ....

H.S. Malvar: "Extended Lapped Transforms: Fast Algorithms and Applications", ICASSP 1991, pp. 1797-1800

.... k) 2 f t (k) 2 = 1 for k = 0: n 2 Gamma 1 There must be a symmetry in each half of a window: f t (k) 2 f t ( n 2 Gamma k) 2 = 1 for k = 0: n 2 Gamma 1 f t (k n 2 ) 2 f t (n Gamma 1 Gamma k) 2 = 1 for k = 0: n 2 Gamma 1 Several fast algorithms are known [9]. The highly optimized algorithm described below has been used in the real time implementation of high quality coders . ....

H.S.Malvar: "Extended lapped transforms: fast algorithms and applications", Proc. of IEEE Int. Conf. on ASSP, pp. 1797-1800, Toronto 1991

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H. S. Malvar, "Extended lapped transforms: Fast algorithms and applications, " in Proc. IEEE lnt. Conf. Aco.ust., Speech, Signal Processing, Toronto. Canada, May 1991, pp. 1797-1800.

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Malvar, H. S., "Extended Lapped Transforms: Fast Algorithms and Applications," IEEE International Conference on Acoustics, Speech, and Signal Processing, Vol. 3, pp. 1797-1800, 1991.

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