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Low-Delay Nonuniform Pseudo-QMF Banks With Application to Speech Enhancement

Ying Deng, V. John Mathews, Behrouz Farhang-Boroujeny
2007 IEEE Transactions on Signal Processing  
In prior work, the prototype filter of the uniform pseudo-QMF bank was constrained to have linear phase and the overall delay associated with the filter bank was often unacceptably large for filter banks  ...  This paper proposes a pseudo-QMF filter bank design technique that significantly reduces the delay by relaxing the linear phase constraints.  ...  Malvar for his careful reading of an earlier draft and his many suggestions for improvement.  ... 
doi:10.1109/tsp.2007.892707 fatcat:2d6xd6nfrzdnbp6wdp5777363i

The Design Of Low-Delay Nonuniform Pseudo Qmf Banks

Ying Deng, Behrouz Farhang-Boroujeny, V.J. Mathews
2006 Zenodo  
Publication in the conference proceedings of EUSIPCO, Florence, Italy, 2006  ...  Figure 2 shows the design of a filter bank with a delay of 192 samples (solid line) and a linear phase design with a delay of 383 samples (dashed line).  ...  However, for a special subclass of oversampling factors, we can design oversampled filter banks by simply changing the sampling factor associated with a maximally-decimated filter bank.  ... 
doi:10.5281/zenodo.52850 fatcat:7mafmffwyfdoxefnzwqy5acicq

Minimum rate sampling and reconstruction of signals with arbitrary frequency support

C. Herley, Ping Wah Wong
1999 IEEE Transactions on Information Theory  
We examine the question of reconstruction of signals from periodic nonuniform samples. This involves discarding samples from a uniformly sampled signal in some periodic fashion.  ...  We give an implicit characterization of the reconstruction system, and a design method by which the ideal reconstruction filters may be approximated.  ...  We examine the tradeoff between the oversampling factor and complexity in the design of sampling and reconstruction systems. A preliminary version of this work was presented in [27] . II.  ... 
doi:10.1109/18.771158 fatcat:ao323tuvyjfklca4dq5sljcinq

Generalizations of the sampling theorem: Seven decades after Nyquist

P.P. Vaidyanathan
2001 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
The connection between such extensions and the theory of filter banks in DSP has been well established.  ...  This paper presents some of the less known aspects of sampling, with special emphasis on non bandlimited signals, pointwise stability of reconstruction, and reconstruction from nonuniform samples.  ...  It turns out that such arbitrary oversampling is not necessary; oversampling by a factor of two is enough.  ... 
doi:10.1109/81.948437 fatcat:b7avsvcgjreupdbilnktebl5hq

Reconstruction of Nonuniformly Sampled Bandlimited Signals Using a Differentiator–Multiplier Cascade

S. Tertinek, C. Vogel
2008 IEEE Transactions on Circuits and Systems Part 1: Regular Papers  
Rather than using optimally designed reconstruction filters, the system improves the reconstruction performance by cascading stages of linear-phase finite impulse response (FIR) filters and time-varying  ...  Because the FIR filters are designed as differentiators, the system works for the general nonuniform sampling case and is not limited to periodic nonuniform sampling.  ...  In this paper, we consider the design of a differentiator using a causal linear-phase FIR filter with frequency response and filter delay .  ... 
doi:10.1109/tcsi.2008.918267 fatcat:z2sfdpzpirevddy3uqnvwwmjrm

Reconstruction of nonuniformly sampled bandlimited signals by means of digital fractional delay filters

H. Johansson, P. Lowenborg
2002 IEEE Transactions on Signal Processing  
It should be stressed, however, that the oversampling factor is less than two as compared with the Nyquist rate. The paper includes error and quantization noise analysis.  ...  The former is useful in the analysis of the quantization noise and when designing practical fractional delay filters approximating the ideal filters.  ...  The oversampling factor is, however, always less than two as compared with the Nyquist rate; it is thus a small oversampling factor.  ... 
doi:10.1109/tsp.2002.804089 fatcat:wxg7eugkzrb3lkgtia3c5xqbci

A Bark-scale filter bank approach to independent component analysis for acoustic mixtures

Hyung-Min Park, Sang-Hoon Oh, Soo-Young Lee
2009 Neurocomputing  
Owing to spectral characteristics of natural signals, we present a filter bank approach that employs a Bark-scale filter bank.  ...  The Bark-scale filter bank approach shows faster convergence speed than the uniform filter bank approach because it has more whitened inputs in the low frequency subbands.  ...  Among the filter bank approaches, oversampled filter banks, where the decimation factor is smaller than the number of analysis filters, accomplish better performance than critically sampled filter banks  ... 
doi:10.1016/j.neucom.2009.08.009 fatcat:g6lnfjthtvdirnpv4eoxvxoufe

A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples

K. M. Tsui, S. C. Chan
2010 Journal of Signal Processing Systems  
Assuming the input signal is slightly oversampled, we first show that its uniform and nonuniform samples in the frequency band of interest can be expressed as a system of linear equations using fractional  ...  In this paper, we study a versatile iterative framework for the reconstruction of uniform samples from nonuniform samples of bandlimited signals.  ...  Since the response of the synthesis filter bank can be adjusted to cope with the changing pattern, online filter design is not required.  ... 
doi:10.1007/s11265-010-0481-x fatcat:mtqpkgigbvbgvd7utpae5h55xa

Classical sampling theorems in the context of multirate and polyphase digital filter bank structures

P.P. Vaidyanathan, V.C. Liu
1988 IEEE Transactions on Acoustics Speech and Signal Processing  
This can be done most conveniently with linear-phase FIR filters [32], so as to avoid phase distortion completely.  ...  A causal implementation of the complete linear-phase synthesis bank for the M = 4, L = 3 example.  ... 
doi:10.1109/29.90376 fatcat:bl6tkyi6ubd5jiex2ehwzp5rfy

Oversampling PCM techniques and optimum noise shapers for quantizing a class of nonbandlimited signals

J. Tuqan, P.P. Vaidyanathan
1999 IEEE Transactions on Signal Processing  
We start with a scalar time-invariant quantizer and study two important cases of linear time invariant (LTI) filters, namely, the case where the postfilter is the inverse of the prefilter and the more  ...  Due to the statistical nature of the signals of interest, the class of noise shaping filters and quantizers is then enlarged to include linear periodically time varying (LP T V ) M filters and periodically  ...  of the oversampling factor.  ... 
doi:10.1109/78.740124 fatcat:euuxjeq6grh6zjezjdhrl6ttam

Fractional biorthogonal partners in channel equalization and signal interpolation

B. Vrcelj, P.P. Vaidyanathan
2003 IEEE Transactions on Signal Processing  
Another application considered is the all-FIR interpolation technique with the minimum amount of oversampling required in the input signal.  ...  The work presented here is an extension of some of these results to the case where the upsampling and downsampling ratios are not integers but rational numbers.  ...  Notice that y(n) is obtained by oversampling x(t) with respect to the usual integral sampling strategy by a factor of L/M .  ... 
doi:10.1109/tsp.2003.812844 fatcat:lk3d3xo7mjekxgtwrzweu6xv44

Biorthogonal partners and applications

P.P. Vaidyanathan, B. Vrcelj
2001 IEEE Transactions on Signal Processing  
Two digital filters ( ) and ( ) are said to be biorthogonal partners of each other if their cascade ( ) ( ) satisfies the Nyquist or zero-crossing property.  ...  In this paper, we first develop several theoretical properties of biorthogonal partners.  ...  That is, is an oversampled version of with an oversampling factor of two. Then, we can recover the samples at finer spacings such as by using the multirate system shown in Fig. 15 .  ... 
doi:10.1109/78.917805 fatcat:mqydjvmoinaavoj2rwrbhy5cwy

Reconfigurable Multirate Systems in Cognitive Radios [chapter]

Amir Eghbali, Hkan Johansso
2012 Foundation of Cognitive Radio Systems  
If an MDFT FB is PR, N is an integer as KM + s where 0≤s < M. With the AFB and SFB filters, having uniform or nonuniform passbands, we have uniform or nonuniform FBs as in Vaidyanathan (1993) .  ...  If P = M, the FB is maximally decimated but P < M leads to oversampled FBs as in Vaidyanathan (1993) . If V 0 (z) is allpass (has linear-phase), we have zero amplitude (phase) distortion.  ... 
doi:10.5772/30395 fatcat:o3t2z57ap5gzdd2gonr2eijcyy

Design of hybrid filter banks for analog/digital conversion

S.R. Velazquez, T.Q. Nguyen, S.R. Broadstone
1998 IEEE Transactions on Signal Processing  
A four-channel HFB is designed with 9-bit (integer) filter coefficients.  ...  To design discrete-time analog filters (e.g., switched-capacitors or charge-coupled devices) for HFB's, a lossless factorization of a PR discrete-time filter bank is used so that reconstruction error is  ...  The subband signals are sampled at times the effective sample rate of the system and converted to digital signals with -bit ADC's, where is the oversampling factor, and For each doubling of , the quantization  ... 
doi:10.1109/78.668549 fatcat:oabwxtpldrdtdfzqncncpwice4

A Multimode Transmultiplexer Structure

A. Eghbali, H. Johansson, P. Lowenborg
2008 IEEE Transactions on Circuits and Systems - II - Express Briefs  
Specifically, the filters in the fixed integer SRC blocks as well as the subfilters of the Farrow structure are designed only once.  ...  A main advantage of this TMUX is that it needs only one filter design beforehand.  ...  In later discussions, the time index t will be omitted. 4 In brief, the Farrow structure is composed of a set of fixed linear-phase filters and adjustable multipliers and performs arbitrary rational SRC  ... 
doi:10.1109/tcsii.2008.918934 fatcat:rdqlgg7psbep5of5qegfu7ogkm
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