T. Karp and A. Mertins, "Lifting schemes for biorthogonal modulated filter banks," in Proc. Int. Conf. on Digital Signal Processing, Santorini, Greece, June 1997.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....factorizations For longer prototypes with higher stopband attenuation the system delay may increase drastically due to the longer allpasstransformed analysis polyphase components, which also require higher order compensation filters. As a possible solution we utilize a lifting factorization [9] for the analysis and synthesis prototype. This method has the advantage that by applying lifting and 0.5 1 1.5 2 0 0.5 1 1.5 2 150 100 50 0 w 1 p w 2 p 20 lg T(e 2, e 1) dB] Fig. 4. Magnitude bifrequency system function for the parameters h;M4 r I r r I 0I dual lifting ....

T. Karp and A. Mertins, "Lifting schemes for biorthogonal modulated filter banks," in Proc. Int. Conf. on Digital Signal Processing, Santorini, Greece, June 1997.

....generalzed PR description, which is additionally extended by some error terms. This allows us to use the complete framework for PR modulated filter banks also in the pseudo QMF case. For example, in the case of a system being free of linear distortions, lattice structures [8] or lifting schemes [5] could be used for an NPR prototype design with possibly better frequency selectivity compared to pure PR solutions. ....

T. Karp and A. Mertins. Lifting schemes for biorthogonal modulated filter banks. In Proc. 17th GRETSI Symposium

.... varying system delays D = 2(s 1)M 1 where s is an integer (the delay parameter) The filters were obtained from linear phase prototype filters, originally designed using the Quadratic Constrained Least Squares method [12] by increasing the filter length using the lifting schemes proposed in [13]. The analysis and the synthesis filters, hk (n) and fk (n) respectively, were calculated from the prototype filter p(n) according to: hk (n) 2p(n) cos h (2k 1) 2M (n D 2 ) 1) k 4 i (8) fk (n) 2p(n) cos h (2k 1) 2M (n D 2 ) 1) k 4 i (9) The stopband ....

T. Karp, A. Mertins, "Lifting Schemes for Biorthogonal Modulated Filter Banks". Proc. Int. Conf. on DSP, June 1997.

....consists of deriving a structure that automatically guarantees PR of the filter bank. In the paraunitary case, such a structure is given by the well known lattice structure [5] containing rotations for the lattice coefficients. For biorthogonal filter banks such structures have been derived in [6, 2, 7] and non linear, non constrained optimization methods are used for the prototype design. Compared to the QCLS algorithm, the latter algorithms offer the advantage to be robust against coefficient quantization, thus allowing an efficient filter implementation with integer valued coefficients [2, 8, ....

....methods are used for the prototype design. Compared to the QCLS algorithm, the latter algorithms offer the advantage to be robust against coefficient quantization, thus allowing an efficient filter implementation with integer valued coefficients [2, 8, 9] We here extend the method proposed in [7] based on the use of lifting schemes [10, 11] for the polyphase filters implementation in order to design filters with specified zeros at certain frequencies. This allows the design of cosine modulated filter banks without DC leakage, meaning that the DC component of an input signal only affects ....

[Article contains additional citation context not shown here]

T. Karp and A. Mertins. Lifting schemes for biorthogonal modulated filter banks. In Proc. Int. Conf. on DSP, Santorini, Greece, July 1997.

....consists of deriving a structure that automatically guarantees PR of the filter bank. In the paraunitary case, such a structure is given by the well known lattice structure [5] containing rotations for the lattice coefficients. For biorthogonal filter banks such structures have been derived in [6, 2, 7] and non linear, non constrained optimization methods are used for the prototype design. Compared to the QCLS algorithm, the latter algorithms offer the advantage to be robust against coefficient quantization, thus allowing an efficient filter implementation with integer valued coefficients [2, 8, ....

....methods are used for the prototype design. Compared to the QCLS algorithm, the latter algorithms offer the advantage to be robust against coefficient quantization, thus allowing an efficient filter implementation with integer valued coefficients [2, 8, 9] We here extend the method proposed in [7] based on the use of lifting schemes [10, 11] for the polyphase filters implementation in order to design filters with specified zeros at certain frequencies. This allows the design of cosine modulated filter banks without DC leakage, meaning that the DC component of an input signal only affects ....

[Article contains additional citation context not shown here]

T. Karp and A. Mertins. Lifting schemes for biorthogonal modulated filter banks. In Proc. Int. Conf. on DSP, Santorini, Greece, July 1997.

....use Zero Delay matrices in order to further decrease the filter length. Similar to the application of Maximum Delay matrices described above, one can show that the constraints that arise on the values a and b are again nothing else but a time domain formulation of the PR constraints, see also [DS96, KM97b]. ....

T. Karp and A. Mertins. Lifting schemes for biorthogonal modulated filter banks. In Proc. International Conference on Digital Signal Processing, Santorini, Greece, July 1997.

....banks the overall system delay can be chosen independently of the filter length, thus being interesting for applications where a low delay of the filter bank and a higher stopband attenuation as in the paraunitary case are desirable. They have recently been studied in literature by several authors [3, 4, 5, 6, 7, 8]. Although many design methods for PR cosine modulated filter banks have been developed within the last few years, see e.g. 1, 9, 6, 4] none of these methods takes into consideration the implementation cost due to the wordlengths of the filter coefficients. For paraunitary cosine modulated ....

....coefficients. For paraunitary cosine modulated filter banks an efficient realization method based on an approximation of the lattice coefficients with CORDIC rotations has been presented in [10] We here extend the results of [10] to the biorthogonal case using the idea of lifting and dual lifting [11, 12, 8] in order to obtain a structure being robust against coefficient quantization. The aim of the coefficient quantization is to realize them by a small number of shift and add operations. The resulting structure is not only extremely regular but also designated for parallel processing. For the sake ....

[Article contains additional citation context not shown here]

T. Karp and A. Mertins. Lifting schemes for biorthogonal modulated filter banks. In Proc. International Conference on Digital Signal Processing, Santorini, Greece, July 1997.

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