K. Nayebi, T. P. Barnwell, and M. J. T. Smith. Low delay fir filter banks: Design and evaluation. IEEE Transactions on Signal Processing, 42(1):24--31, January 1994.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....Lucent Technologies, Murray Hill, NJ 07974, USA. T. Karp is with the University of Mannheim, Mannheim, Germany. Publisher Item Identifier S 1053 587X(00)01544 0. also have narrowband filters with high stopband attenuation. Both features can be obtained when using low delay filter banks [12] or biorthogonal modulated filter banks [13] 19] Lowdelay filter banks offer a low system delay independent of the filter length. This enables a higher stopband attenuation and or a narrower transition bandwidth than an orthogonal filter bank with the same overall system delay. Two different ....

K. Nayebi, T. P. Barnwell III, and M. J. T. Smith, "Low delay FIR filter banks: Design and evaluation," IEEE Trans. Signal Processing, vol. 42, no. 11, pp. 24--31, Jan. 1994.

....downsampling and a system delay of n 0 samples. ffl Perfect reconstruction: x(n) x(n Gamma n 0 ) ffl Near perfect reconstruction: x(n) x(n Gamma n 0 ) ffl Standard delay for length LN filters: LN Gamma1 samples 2 Nayebi s Formulation in the Time Domain (Nayebi,Barnwell,Smith, 87, 91 [6, 7, 8]) Define P i = 2 6 6 6 6 6 6 6 6 6 6 4 h 0 (iN ) Delta Delta Delta h 0 (iN N Gamma 1) hN Gamma1 (iN ) Delta Delta Delta hN Gamma1 (iN N Gamma 1) 3 7 7 7 7 7 7 7 7 7 7 5 Q i = 2 6 6 6 6 6 6 6 6 6 6 4 g 0 (iN ) Delta Delta Delta g 0 (iN N Gamma 1) g N Gamma1 ....

K. Nayebi, T.P. Barnwell,III, M.J.T. Smith: "Low Delay FIR Filter Banks: Design and Evaluation", Trans. on Signal Processing, January 1994, pp.24-31.

....the coding efficiency of the filter bank it is therefore useful to adapt the filter characteristic and the number of bands to the signal statistics. In [Edl89] it was shown how to switch from one cosine modulated filter bank to another. Later approaches were mostly for non modulated filter banks [NBS91, NIS94, HKV93, HV94, PV96, dQR93, SNBS95]. We here just describe the basic idea for the design of time varying modulated filter banks. A detailed description can be found in [Sch97, SK97] The main idea for the following description of time varying filter banks is the observation that if a signal first passes a time varying system or ....

K. Nayebi, T. P. Barnwell III, and M. J. T. Smith. Low delay FIR filter banks: Design and evaluation. IEEE Trans. on Signal Processing, SP-42:24--31, January 1994.

....analysis bank Biorthogonal modulated filter banks (when compared to paraunitary ones) provide the advantage that the overall system delay can be chosen independently of the filter length, thus resulting in low delay filter banks. They have recently been studied in literature by several authors [1, 2, 3, 4, 5]. While Schuller and Smith describe the filter bank by a cascade of selfinverse sparse matrices and a modulation matrix, the approach derived by Nguyen et al. is based on constraints on the polyphase filters of a common prototype filter for analysis and synthesis. Based on this formulation for the ....

K. Nayebi, T. P. Barnwell III, and M. J. T. Smith. Low delay FIR filter banks: Design and evaluation. IEEE Trans. on Signal Processing, SP-42:24-- 31, January 1994.

....filter bank in Figure 1. The analysis filters are typically frequency selective: H 0 lowpass and H 1 highpass. Such systems are used in subband coding and decoding of speech, images, and video for transmission and storage. Subband coders have been adopted in many new international coding standards [1]. Even though the analysis and synthesis filters are linear time invariant (LTI) the overall system is in general a linear periodically time varying (LPTV) system because of the down and upsamplers. As such, distortions can arise and it is generally desirable to design filter banks to have the ....

....output x(k) should be equal to the input x(k) modulo a tolerable time delay. The problem of designing multirate filter banks that provide good frequency resolution while allowing for exact or near perfect reconstruction of the input is quite challenging. The issues include the following [1]: ffl Individual filter issues such as passband size and ripple, stopband size and ripple, transition width and shape, filter phase, filter type (IIR or FIR) filter order, and filter structure. ffl Filter bank issues such as the number of bands, frequency coverage, and bank efficiency. ffl ....

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K. Nayebi, T. Barnwell, and M. Smith, "Low delay fir filter banks: Design and evaluation," IEEE Trans. on Signal Processing, vol. 42, pp. 24--31, January 1994.

.... cosine modulated linear phase filter bank [54, 55] ffl Arbitrary length paraunitary cosine modulated filter bank [56, 57, 58] ffl Biorthogonal FIR cosine modulated filter bank [59, 58] ffl Biorthogonal IIR cosine modulated filter bank [60] ffl Variable delay cosine modulated filter bank [60, 61]. 4.3. Linear phase filter bank Although linear phase and paraunitary properties can not be simultaneously imposed in the case of two channel (except for the case of Haar wavelets) they can coexist for filter banks with more channels. For instance, DCT (Discrete Cosine Transform) and LOT ....

Nayebi, K., Barnwell, T. P. III and Smith, M. J. T., "Low-delay FIR filter banks, design and evaluation", IEEE Trans. on SP, pp. 24-31, Jan. 94.

....large. Theorem 2 Assume E(e j ) is nonsingular for all . Then lim m 1 J opt (m) 0. 5 Example Multirate filter banks are used in subband coding and decoding of speech, images, and video for transmission and storage. Subband coders have been adopted in many new international coding standards [6]. The problem of designing multirate filter banks that provide good frequency resolution while allowing for exact or near perfect reconstruction of the input is quite challenging. Several techniques have been developed for the design of linear phase FIR filter banks with the perfect reconstruction ....

K. Nayebi, T.P. Barnwell, and M.J.T. Smith. Low delay fir filter banks: Design and evaluation. IEEE Trans. on Signal Processing, 42(1):24--31, January 1994.

....play a dominant role at some point. Now some words on the literature. Vaidyanathan s book [19] gives a comprehensive treatment of multirate filter banks, with a detailed historical survey of the literature up to 1992. The subject is a very active one at present: In references [1] 6] 7] 11] [12], and [13] the constraint of perfect reconstruction is placed on the system; in [5] and [15] this is relaxed to a weaker constraint (nearly allpass system with small aliasing) The idea of optimal model matching is central in modern control theory and, in particular, L 2 induced norm ....

K. Nayebi, T.P. Barnwell III, and M.J.T. Smith. Low delay FIR filter banks: design and evaluation. IEEE Trans. Signal Processing, vol. 42, pp. 24-31, 1994.

....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 ....

K. Nayebi, T. P. Barnwell III, and M. J. T. Smith. Low delay FIR filter banks: Design and evaluation. IEEE Trans. on Signal Processing, SP-42:24--31, January 1994.

.... for designing non QMF FIR filter banks include unconstrained optimization methods, similar to those for designing QMF FIR filter banks except that the former has more dimensions [34] and constrained optimization methods [31, 1] including Lagrange multiplier [1, 45] and time domain methods [29]. IIR filter banks Since IIR filters can be decomposed into two all pass subfilters, amplitude distortion can be zero in an IIR filter bank [55] Usually IIR filter banks have shorter time delay and require fewer computations than FIR filter banks. However, IIR filters are generally more difficult ....

K. Nayebi, T. P. Barnwell III, and M. J. T. Smith. Low delay FIR filter banks: Design and evaluation. IEEE Trans. on Signal Processing, 42(1):24--31, January 1994.

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K. Nayebi, T. P. Barnwell, and M. J. T. Smith. Low delay fir filter banks: Design and evaluation. IEEE Transactions on Signal Processing, 42(1):24--31, January 1994.

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K. Nayebi, T.P. Barnwell,III, M.J.T. Smith, "Low Delay FIR Filter Banks: Design and Evaluation ", Trans. on Sig. Proc., Jan. 1994, pp.24-31.

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K. Nayebi, T.P. Barnwell,III, M.J.T. Smith: "Low Delay FIR Filter Banks: Design and Evaluation", Trans. on Signal Processing, January 1994, pp.24-31.

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