H. S. Malvar, "Extended lapped transforms: Properties, applications and fast algorithms," IEEE Trans. Signal Processing, vol. 40, no. 11, pp. 2703--2714, Nov. 1992.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....in object based audiovisual signal compression. It is interesting that all the reported results on factorizing a special class of a paraunitary system take the stage order one form. These special systems also include the twochannel filterbanks [8] and cosine modulated paraunitary filterbanks [20] [25] Does a generalized factorization for paraunitary system exist It is reasonable to handle the factorization problem of causal FIR paraunitary systems with or without constraints in one framework. Section II shows that if the degree one building blocks are separated into groups in which ....

H. S. Malvar, "Extended lapped transforms: Properties, applications and fast algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2703--2714, Nov. 1992.

....filters for a given set of FIR analysis filters. We here restrict ourselves to FIR analysis and synthesis filters in order to guarantee stability. Existing approaches effectively use a factorization of the matrix into a product of paraunitary matrices, which leads to orthogonal filter banks [5] [6]. In the following, a different factorization is used to obtain a more general formulation, which also covers nonorthogonal or biorthogonal filter banks. With the new factorization, we construct the filter matrices as a product or cascade of simple matrices. These simple matrices 740 IEEE ....

H. S. Malvar, "Extended lapped transforms: Properties, applications, and fast algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2703--2714, Nov. 1992.

....the use of wavelet filterbanks [7] and fractional band wavelets to improve the coarse octave scale resolution of two band wavelets [8] We use a hierarchical filterbank structure based on M band perfect reconstruction cosine modulated filterbanks. These filterbanks have been developed by Malvar [9] and in an equivalent formulation by Vaidyanathan [10] For representation of audio signals, they offer several advantages. The fact that various values of M can be used provides flexibility in design and simplifies the task of matching the filterbanks to the critical band structure of the ....

H. S. Malvar, "Extended lapped transforms: Properties, applications, and fast algorithms," IEEE Transactions on Signal Processing, vol. 40, pp. 2703--2714, 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: Properties, Applications, and Fast Algorithms", IEEE Transactions on Signal Processing, Vol.40, NO.11, Nov. 1992.

....plus the number for the fast transform. This number, without the transform, is less or equal to 1:5 Delta N Gamma max(N=2; n a ) Delta N=2 for each, the analysis and the synthesis. This implementation is more general and also more efficient than previous approaches, e.g. like Malvars ELT [2]. Also note that the coefficients for the synthesis matrices result from sign flipping, and that the input for the multipliers is the same as for the analysis (except for the matrix B 0 ) which means that they provide perfect reconstruction even if they are implemented with low precision ....

H. S. Malvar: "Extended Lapped Transforms: Properties, Applications, and Fast Algorithms", IEEE Transactions on Signal Processing, Vol.40, NO.11, Nov. 1992.

.... Lapped Transform (MLT) and Extended Lapped Transform (ELT) The MLT and ELT, which belong to the family of Lapped Orthogonal Transforms (LOT) are very attractive in the applications of transform coding since they can diminish the blocking effect encountered in low bit rate block transforms [3] 4][5]. Recently, Frantzeskakis et al. 6] 7] proposed the time recursive MLT and ELT architectures that are suitable for VLSI implementation due to their modularity and regularity. However, since the updating of the MLT and ELT coefficients should be as fast as the input data rate, those architectures ....

....of the ELT The ELT with basis length equal to 4N operates on data segment of length 4N , x(t n Gamma 4N 1) n = 0; 1; Delta Delta Delta ; 4N Gamma 1, and produces N output coefficients, X ELT ;k (t) k = 0; 1; Delta Delta Delta ; N Gamma 1. One good choice for the ELT is as follows [10][5]: X ELT ;k (t) r 2 N 4N Gamma1 X n=0 [ 1 2 p 2 Gamma 1 2 cos N (n 1 2 ) cos[ N (k 1 2 ) n 1 2 N 2 ) x(t n Gamma 4N 1) 19) By the use of some trigonometric identities, we can rewrite (19) as X ELT ;k (t) Gamma X S;k 1 (t) p 2 X C;k (t) X ....

H. S. Malvar, "Extended Lapped Transforms: Properties, applications, and fast algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2703--2714, Nov. 1992.

....for which the basis functions form an orthogonal set, and which have narrow band frequency responses with very low side lobes, is considered to be a SCOT. We note that SCOTs obtained with paraunitary cosine modulated filter banks are referred to as extended lapped orthogonal transforms in [13]. Certain M Gammaband wavelet transforms [9] are also members of the SCOT family; however, the weighted DFT is not a SCOT, because it does not possess the required orthogonality. As described in [24] and [13] fast algorithms exist for the implementation of cosine modulated filter banks, and the ....

....cosine modulated filter banks are referred to as extended lapped orthogonal transforms in [13] Certain M Gammaband wavelet transforms [9] are also members of the SCOT family; however, the weighted DFT is not a SCOT, because it does not possess the required orthogonality. As described in [24] and [13], fast algorithms exist for the implementation of cosine modulated filter banks, and the complexity of these algorithms is comparable with that for algorithms which implement the weighted FFT. suppression and the complex adapted rules. The conventional rules obtain near optimum performance with ....

H. S. Malvar, "Extended lapped transforms: properties, applications, and fast algorithms, " IEEE Trans. Sig. Proc., 40(11):2703-2714, November 1992.

....M : 4) For DWMT systems, the M frequencies are distinct and equally spaced. For DMT systems, the tones are in quadrature pairs (except for the two tones at the ends of the transmission 3 Fourier transforms, M band wavelet transforms [10] the lapped orthogonal transform (LOT) and extended LOT [11], and cosine modulated M band wavelet filter banks [12] are examples of orthogonal transformations that can produce pulses of the form shown in (2) band 4 ) and M=2 1 distinct, equally spaced frequencies are used. The M Gamma 2 midband PAM subchannels for DMT systems could also be grouped ....

H. S. Malvar, "Extended lapped transforms: properties, applications, and fast algorithms, " IEEE Trans. Sig. Proc., 40(11):2703-2714, November 1992.

No context found.

H. S. Malvar, "Extended lapped transforms: Properties, applications and fast algorithms," IEEE Trans. Signal Processing, vol. 40, no. 11, pp. 2703--2714, Nov. 1992.

No context found.

H. S. Malvar, "Extended lapped transforms: Properties, applications, and fast algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2703--2714, 1992.

No context found.

H. S. Malvar, "Extended lapped transforms: Properties, applications, and fast algorithms," IEEE Trans. on Signal Processing, vol. 40, pp. 2703--2714, Nov. 1992.

No context found.

H. S. Malvar, "Extended lapped transforms: Properties, applications, and fast algorithms," IEEE Trans. Signal Proc., vol. 40, pp. 2703-2714, Nov. 1992.

No context found.

H. S. Malvar, "Extended Lapped Transforms: Properties, Applications, and Fast Algorithms", IEEE Transactions on Signal Processing, Vol.40, NO.11, Nov. 1992.

No context found.

H. S. Malvar, "Extended Lapped Transforms: Properties, applications, and fast algorithms," IEEE Trans. Signal Processing, vol. 40, pp. 2703--2714, Nov. 1992. System Architecture of A Massively Parallel Programmable Video Co-Processor 20

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC