Showing papers on "Quadrature mirror filter published in 2015"
TL;DR: A novel approach for 2-channel linear phase quadrature mirror filter (QMF) bank design based on a hybrid of gradient based optimization and optimization of fractional derivative constraints is introduced, and it was found that the proposed method gives best result in terms of peak reconstruction error and transition band error while it is comparable in Terms of passband and stopband error.
Abstract: In this article, a novel approach for 2-channel linear phase quadrature mirror filter (QMF) bank design based on a hybrid of gradient based optimization and optimization of fractional derivative constraints is introduced. For the purpose of this work, recently proposed nature inspired optimization techniques such as cuckoo search (CS), modified cuckoo search (MCS) and wind driven optimization (WDO) are explored for the design of QMF bank. 2-Channel QMF is also designed with particle swarm optimization (PSO) and artificial bee colony (ABC) nature inspired optimization techniques. The design problem is formulated in frequency domain as sum of L2 norm of error in passband, stopband and transition band at quadrature frequency. The contribution of this work is the novel hybrid combination of gradient based optimization (Lagrange multiplier method) and nature inspired optimization (CS, MCS, WDO, PSO and ABC) and its usage for optimizing the design problem. Performance of the proposed method is evaluated by passband error (ϕp), stopband error (ϕs), transition band error (ϕt), peak reconstruction error (PRE), stopband attenuation (As) and computational time. The design examples illustrate the ingenuity of the proposed method. Results are also compared with the other existing algorithms, and it was found that the proposed method gives best result in terms of peak reconstruction error and transition band error while it is comparable in terms of passband and stopband error. Results show that the proposed method is successful for both lower and higher order 2-channel QMF bank design. A comparative study of various nature inspired optimization techniques is also presented, and the study singles out CS as a best QMF optimization technique.
47 citations
TL;DR: The formulation reduces the design problem of time-frequency optimal filter banks to an eigenfilter-based problem and the filter banks designed in this manner are found to be regular and are valid candidates for wavelet filter banks, allowing for the construction of linear phase wavelets.
Abstract: We present a novel eigenfilter-based approach to the design of time-frequency optimized, linear-phase, biorthogonal FIR filter banks. We first design a linear-phase, low-pass analysis filter, followed by a complementary linear-phase, low-pass synthesis filter. The optimality criterion used is uncertainty-based time-frequency localization, where the objective function is a convex combination of time variance and frequency variance of the respective filters. The objective function to be minimized is formulated in a convex-quadratic form and the perfect reconstruction (PR) and vanishing moment (VM) conditions are imposed in the eigen design of filters as a set of linear equality constraints. The PR and VM conditions are expressed in the time domain matrix formulation, so that these can directly be incorporated into the eigenfilter design. Using the Rayleigh principle, the optimal filter is obtained as an eigenvector corresponding to the minimum eigenvalue of the real symmetric positive-definite matrix associated with the optimization criterion. Thus, our formulation reduces the design problem of time-frequency optimal filter banks to an eigenfilter-based problem. Furthermore, the filter banks designed in this manner are found to be regular and are valid candidates for wavelet filter banks, allowing for the construction of linear phase wavelets. We present a few examples to show that the smooth wavelets can be constructed using the proposed method.
46 citations
TL;DR: A new method based on ABC algorithm for designing two-channel quadrature mirror filter (QMF) banks with linear phase is presented and results are compared with earlier reported results of particle swarm optimization (PSO), differential-evolution (DE) and conventional optimization algorithms.
Abstract: Artificial bee colony (ABC) algorithm has been introduced recently for solving optimization problems. The ABC algorithm is based on intelligent foraging behavior of honeybee swarms and has many advantages over earlier swarm intelligence algorithms. In this work, a new method based on ABC algorithm for designing two-channel quadrature mirror filter (QMF) banks with linear phase is presented. To satisfy the perfect reconstruction condition, low-pass prototype filter coefficients are optimized to minimize an objective function. The objective function is formulated as a weighted sum of four terms, pass-band error, and stop-band residual energy of low-pass analysis filter, square error of the overall transfer function at the quadrature frequency and amplitude distortion of the QMF bank. The design results of the proposed method are compared with earlier reported results of particle swarm optimization (PSO), differential-evolution (DE) and conventional optimization algorithms.
31 citations
TL;DR: In this article, an improved method based on fractional derivative constraints is presented for the design of two-channel quadrature mirror filter (QMF) bank with higher order filter taps.
19 citations
TL;DR: This paper proposes an optimal design of two-channel quadrature mirror filter (QMF) bank using optimized polyphase component enforcing very efficient global swarm optimization techniques cuckoo search and modified cuckoos search based fractional derivative constraints.
Abstract: This paper proposes an optimal design of two-channel quadrature mirror filter (QMF) bank using optimized polyphase component enforcing very efficient global swarm optimization techniques cuckoo search (CS) and modified cuckoo search (MCS) based fractional derivative constraints. The objective function is structured in frequency domain, as sum of energy of errors in passband and stopband. This objective function is optimized using a well recognized true least square method called Lagrange multiplier method enforcing CS and MCS based fractional derivative constraints and perfect reconstruction condition of two-channel QMF bank as a constraint. Fractional derivative constraints are optimized by employing CS and MCS algorithms taking peak reconstruction error (PRE) of two-channel QMF bank as an objective function. The proposed method is evaluated by several performance attributes of two-channel QMF bank which promulgate the excellence of proposed method. Comparative results clearly show the superiority of proposed method over recently developed techniques.
16 citations
10 Mar 2015-ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences
TL;DR: In this paper, Chebyshev polynomial based fractional order differentiator has been used for filtering operation on an image and pre-processing has been performed by using this filter.
Abstract: . Discrimination between texture edges and geometrical edges is very difficult in low contrast images. Satellite images are low contrast images. It is important to extract the edges that are not clearly visible in case of Satellite images. The present work encompasses a new edge detection algorithm using newly constructed differentiator. Chebyshev polynomial based fractional order differentiator has been used for filtering operation on an image. High pass and Low pass filters are designed with the concept of Quadrature Mirror Filter (QMF). Pre-processing has been performed by using this filter. Sobel edge detection method has been applied on this pre-processed image. The algorithm has been tested with two different satellite images.
14 citations
TL;DR: In this paper, the minor component analysis algorithm based on the neural learning rule is exploited to the design of eigenfilter and results confirm that the proposed neural-based method can achieve accurate performance by incorporating the simple neural model.
Abstract: The design of two-channel quadrature mirror filter banks can be constructed based on real infinite impulse response (IIR) all-pass digital filters without yielding magnitude distortion. The design problem is first formulated as a phase optimization using IIR all-pass filters in the least-squares sense. Then the nonlinear phase optimization is further converted into solving an eigenproblem of an appropriate real, symmetric, and positive-definite matrix. In this paper, the minor component analysis algorithm based on the neural learning rule is exploited to the design of eigenfilter. When the learning algorithm achieves convergence, the weights of the neural system approximate the smallest eigenvector, which are the optimal filter coefficients of the IIR all-pass filters. The simulation results confirm that the proposed neural-based method can achieve accurate performance by incorporating the simple neural model.
13 citations
02 Apr 2015
TL;DR: An optimized algorithm for the design of M-Channel cosine modulated (CM) quadrature mirror filter (QMF) bank subjecting optimized fractional derivative constraint using artificial bee colony (ABC) algorithm is presented.
Abstract: This paper presents an optimized algorithm for the design of M-Channel cosine modulated (CM) quadrature mirror filter (QMF) bank. For this purpose, objective function is formulated in term of polyphse components of the prototype filter of filter bank subjecting optimized fractional derivative constraint using artificial bee colony (ABC) algorithm. Polyphase component is optimized by minimizing the objective function, which is formulated as sum of mean square error of passband error and stopband error. Fractional derivative constraints are optimized using peak reconstruction error as an objective function. The proposed method is examined by several performance parameters of QMF bank which show superiority of proposed method.
11 citations
01 Jul 2015
TL;DR: A new adaptive sparse-grid quadrature filter (ASGQF) is proposed that is adaptively selected based on the nonlinearity of the stochastic system such that a higher level of SGQ is used only when the non linearity measure is high, which reduces the unnecessary computation complexity.
Abstract: The recently emerging sparse-grid quadrature filter (SGQF) has been shown to outperform the unscented Kalman filter owing to its higher levels of estimation accuracy It can achieve the close performance to the Gauss Hermite quadrature filter without suffering the curse-of-dimensionality problem. However, the computation efficiency of the SGQF can be further improved by exploring the inherent system structure. In this paper, a new adaptive sparse-grid quadrature filter (ASGQF) is proposed. The accuracy levels of the sparse-grid quadrature (SGQ) are adaptively selected based on the nonlinearity of the stochastic system such that a higher level of SGQ is used only when the nonlinearity measure is high, which reduces the unnecessary computation complexity. A global measure and a local measure of nonlinearity are used and compared. In a target tracking example, the ASGQF with the adaptive mixture of low level SGQ and high level SGQ is shown to achieve close performance to the sole higher level SGQF and demands much less computation load.
11 citations
01 Feb 2015
TL;DR: In this article, a two channel quadrature mirror filter bank is designed using linear optimization algorithm and the coefficients are represented in canonical signed power of two (CSD) format.
Abstract: In this paper a two channel Quadrature Mirror Filter (QMF) bank is designed using linear optimization algorithm. Filter coefficients are represented in canonical signed power of two. It is observed that the use of the Canonical Signed Digit (CSD) representation of filter coefficients can simplify the hardware implementation of digital filter. The proposed method not only reduces hardware complexity but also reduces reconstruction error of original signal to a larger extent to achieve near perfect reconstruction. A refurbishment method is used to restore the CSD format of coefficients after obtaining coefficients using linear optimization algorithm.
6 citations
19 May 2015
TL;DR: A multichannel modification of the single-channel WOLA-algorithm, which can be considered as a generalization of a one-dimensional WOLa-al algorithm for processing vector (multichannel) signals.
Abstract: The present paper is devoted to the development of new techniques intended for multichannel signal processing. We study multichannel filter banks and their implementations for wideband monitoring tasks. The key point of the paper is a multichannel modification of the single-channel WOLA-algorithm, which can be considered as a generalization of a one-dimensional WOLA-algorithm for processing vector (multichannel) signals. The suggested algorithm is based on efficient calculation of vector discrete Fourier transform. We also discuss order reduction of a low-frequency prototype-filter on the basis of its magnitude response symmetrization. The efficiency of this approach for a particular prototype filter is demonstrated. The filter, whose characteristics are analyzed in the manuscript, is part of a multi-channel filter bank intended for monitoring the frequency range from 0 to 1 MHz.
TL;DR: The proposed algorithm uses Non-dominated Sorting Genetic Algorithm (NSGA) to minimize the mutually contradictory objective function by minimizing filter tap weights of prototype filter by searching solutions that achieve the best compromise between the different objectives criteria.
01 Sep 2015
TL;DR: An efficient way of implementing the lattice wave digital filter (LWDF) structure of the quadrature mirror filter (QMF) with canonic signed digit (CSD) coefficients is proposed and is implemented using carry save adders rather than slow carry propagation adders.
Abstract: The minimum hardware and low power dissipation have always been the main concern for the efficient filter implementation. In this paper, an efficient way of implementing the lattice wave digital filter (LWDF) structure of the quadrature mirror filter (QMF) with canonic signed digit (CSD) coefficients is proposed. Further, the proposed structure is implemented using carry save adders rather than slow carry propagation adders. This increases the speed of the overall filter structure compared to the conventional way of implementing the filter with CSD coefficients. The proposed QMF is implemented and successfully tested on Xilinx Spartan XC3s200-4ft256 field programmable gate array (FPGA) device. The effectiveness of the proposed design method is proven with an example.
TL;DR: This work addresses the recognition problem of grayscale images of object subjected to out-of-plane rotation distortion by comparing filter realization as computer generated hologram and filter projection on modulator domain.
Abstract: We address the recognition problem of grayscale images of object subjected to out-of-plane rotation distortion. We compare filter realization as computer generated hologram and filter projection on modulator domain. Our study results of the filter discriminating characteristic analysis are shown. The results of the filter implementation modeling in 4-f correlator and the initial experimental result are represented.
TL;DR: TI and CSTIICA algorithms are found to be may be the best auditory artifact removal techniques and can be highly useful in auditory EEG data analysis to the best.
27 Apr 2015
TL;DR: The proposed MPSO technique provides a low pass prototype filter characteristics which are close to an ideal QMF design and can be effectively applied in multi-rate DSP applications.
Abstract: In this paper, a new optimization technique for Quadrature Mirror Filter (QMF) based on Modified Particle Swarm (MPSO) is proposed for the design of a two channel linear phase bank in frequency domain. The proposed technique provides a low pass prototype filter characteristics which are close to an ideal QMF design. Using proposed technique, we have evaluated various performance parameters such as pass band error, stop band error, transition band error, PRE, and amplitude variation of QMF. Our simulation results show that 23% reduction in amplitude error, 60% improvement in pass band error, 74% decrease in stop band error, 78% reduction in transition band error, and 24% improvement in PRE can be achieved using proposed algorithm over the other reported techniques in the literature. The design results of the proposed MPSO technique presented in this paper clearly indicate substantial improvements over earlier reported results. This technique can be effectively applied in multi-rate DSP applications.
Patent•
08 Dec 2015TL;DR: In this paper, a direct down-conversion (DDC) front end receiver includes a first Q-channel that filters a sum of PRBS and baseband quadrature signals to generate a first filtered quadratures signal, a second I-channel, Q-path and I-path PRBS cancellation blocks for cancelling corresponding PRBS components from sum of first and second filtered in-phase signals and sum of I-Path sum filter estimation blocks for estimating quadRature and inphase sum filter responses, and an IQ mismatch compensation filter filters the modified inphase signal
Abstract: A direct down-conversion (DDC) front end receiver includes first Q-channel that filters a sum of PRBS and baseband quadrature signals to generate a first filtered quadrature signal, a second Q-channel that filters a difference of the baseband and PRBS signals to generate a second filtered quadrature signal, a first I-channel and a second I-channel, Q-path and I-path PRBS cancellation blocks for cancelling corresponding PRBS components from sum of first and second filtered quadrature signals and sum of first and second filtered inphase signals respectively, Q-path and I-path sum filter estimation blocks for estimating quadrature and inphase sum filter responses. An IQ mismatch compensation filter estimate and tracking block estimates IQ mismatch compensation filter response from estimated quadrature and inphase sum filter responses, and an IQ mismatch compensation filter filters the modified inphase signal with the IQ mismatch compensation filter response, to generate a filter compensated inphase signal.
06 Jun 2015
TL;DR: A neural-based minor component analysis algorithm is presented for designing quadrature mirror filter banks in the least-squares sense to achieve the eigenfilter design of the quadratures mirror filter bank with accurate performance.
Abstract: This paper presents a neural-based minor component analysis algorithm for designing quadrature mirror filter banks in the least-squares sense The objective function of the design problem is formulated as an eigenvector solving problem of a real, symmetric and positive-definite matrix An alternative minor component analysis algorithm based on neural learning rule is exploited to achieve the eigenfilter design of the quadrature mirror filter bank with accurate performance
09 Jul 2015
TL;DR: In this article, a design method of the optimum quadrature mirror filters (QMF), by using grouped B-spline functions in each transition band, is presented, which can approximate the response of each frequency band.
Abstract: The design of two channel Quadrature Mirror Filter (QMF) banks is considered with constraints on the peaks of the reconstruction error and that of the subband filter ripple sizes. In this paper a design method of the optimum quadrature mirror filters (QMF), by using grouped B-spline functions in each transition band, is presented. It was shown that linear phase FIR filters cannot exactly satisfy the condition that the squared amplitude frequency responses are mirror images of each other about the line ω = π / 2, which has led to the name quadrature mirror flters. It is important to have a flat frequency response for the filters. The solution is to approximate the response of each frequency band by using grouped B-spline functions, that insures continuous superior order derivatives.
16 May 2015
TL;DR: The obtained results of the intended QMF filter bank with Cosh-Hamming window function can be used as bank showed successful design.
Abstract: In this study, QMF (Quadrature Mirror Filter-quarter Mirror Filter) bank is proposed design hybrid windowing function based on Cosh and Hamming the use of the window. The performance of the filter banks are designed in different degrees; pass and stop band attenuation with failure to pre was evaluated taking into consideration. The obtained results of the intended QMF filter bank with Cosh-Hamming window function can be used as bank showed successful design.
02 Nov 2015
TL;DR: The investigation has shown that the periodic signal extension gives best results in case of stationary input signals and can be used for both direct and polyphase implementations.
Abstract: In this paper the efficiency of the polyphase decomposition form against the direct decomposition form of quadrature mirror filter bank for power harmonic analysis is investigated. For that purpose, the both forms of decomposition are implemented on the digital signal processor TMS320C6713. Experimental results show increased efficiency when polyphase decomposition form is used. Additionally, the influence of the input signal extension on the accuracy of calculated RMS result is investigated for the aim of reliable harmonic analysis. The investigation has shown that the periodic signal extension gives best results in case of stationary input signals and can be used for both direct and polyphase implementations.
01 Sep 2015
TL;DR: Simulation results articulate that the proposed CRPSO algorithm outperforms its counterparts PSO not only in terms of quality output, i.e. sharpness at cut-off, pass band ripple and stop band attenuation but also in convergence speed with assured fidelity.
Abstract: In this paper, a superior version of Particle Swarm Optimization called Craziness based Particle Swarm Optimization (CRPSO) Technique is demonstrated for designing two-channel Quadrature Mirror Filter (QMF) Bank so as to process an audio signal with nearly perfect reconstructed output. Apart from achieving a better control on cognitive and social components of standard PSO, the proposed CRPSO dictates better implementation due to incorporation of a fresh craziness parameter, in the velocity equation of PSO, to ensure that the particle would have a predefined craziness probability to maintain the diversity of the particles. This mutation in the velocity equation not only ensures the faster searching in the multidimensional search space but also the solution produced is nearly accurate to the global optimal solution. The algorithm's performance is studied with the comparison of traditional PSO. Simulation results articulate that the proposed CRPSO algorithm outperforms its counterparts(PSO) not only in terms of quality output, i.e. sharpness at cut-off, pass band ripple and stop band attenuation but also in convergence speed with assured fidelity.
TL;DR: This tutorial paper presents the complete unified efficient implementations of complex exponential- modulated and real-valued cosine-modulated quadrature mirror filter (QMF) banks used both in the standard SBR and LD-SBR encoder and decoder.
TL;DR: In this paper, a unitary filter bank is induced by tight generalized frames, which enable signal decomposition using a set of linear operators, and if the frame elements have equal norm, then the signal energy is spread through the various filter bank channels in some uniform fashion.
Abstract: We turn a given filter bank into a filtering scheme that provides perfect reconstruction, synthesis is the adjoint of the analysis part (so-called unitary filter banks), all filters have equal norm, and the essential features of the original filter bank are preserved. Unitary filter banks providing perfect reconstruction are induced by tight generalized frames, which enable signal decomposition using a set of linear operators. If, in addition, frame elements have equal norm, then the signal energy is spread through the various filter bank channels in some uniform fashion, which is often more suitable for further signal processing. We start with a given generalized frame whose elements allow for fast matrix vector multiplication, as, for instance, convolution operators, and compute a normalized tight frame, for which signal analysis and synthesis still preserve those fast algorithmic schemes.
02 Apr 2015
TL;DR: This paper has implemented the perfect reconstruction filter using the concept of Quadrature mirror filter (QMF) bank in GNU Radio, and some basic concepts like aliasing and filter design have been analyzed using GNU Radio.
Abstract: Multirate digital signal processing finds application in various fields like speech processing, image processing and compression. A proper study of this subject is fundamental to incorporating an efficient design of these systems. A good theoretical explanation in this area is readily available at large numbers. But it is quite unfortunate that the present education system does not emphasize a proper visualization of the theoretical concepts. The significance of GNU Radio, which provides various signal processing blocks, is worth noticing since it can be used by a learner to design a flow graph and analyze its response. In this paper, we have implemented the perfect reconstruction filter using the concept of Quadrature mirror filter (QMF) bank in GNU Radio. Some basic concepts like aliasing and filter design have also been analyzed using GNU Radio. We appreciate the role played by GNU Radio since it is an easy-to-use software and also provides an excellant platform in analyzing a system.
TL;DR: The necessary and sufficient condition for perfect reconstruction (PR) is derived by using the polyphase decomposition of the analysis and synthesis filters, as well as the fast implementation structure of the filter bank, to formulate the design problem into an unconstrained optimization problem.
01 Jan 2015
TL;DR: The parameterized design of biorthogonal wavelet based on the algebraical construction method is proposed and the results show that it is simple and feasible.
Abstract: The X-ray bone images are extensively used by the medical practitioners to detect the minute fractures as they are painless and economical compared to other image modalities. This paper proposes a parameterized design of biorthogonal wavelet based on the algebraical construction method. In order to assign the characters of biorthogonal wavelet, there are two kinds of parameters which are introduced in construction process. One is scale factor and another one is sign factor. In edge detection, the necessary condition of wavelet design is put forward and two wavelet filers are built. The simulation results show that the parameterized design of biorthogonal wavelet is simple and feasible. The biorthogonal wavelet zbo6.6 performs well in detecting the edges with better quality. The various performance metrics like Ratio of Edge pixels to size of image (REPS), peak signal to noise ratio (PSNR) and computation time are compared for various biorthogonal wavelets.
Posted Content•
TL;DR: In this article, a quadrature mirror filter (QMF) function is considered as the transition function for a Markov process on the unit interval, and the QMF functions that generate scaling functions for multiresolution analyses are then distinguished by properties of their invariant sets.
Abstract: A quadrature mirror filter (QMF) function can be considered as the transition function for a Markov process on the unit interval. The QMF functions that generate scaling functions for multiresolution analyses are then distinguished by properties of their invariant sets. By characterizing these sets, we answer in the affirmative a question raised by Gundy (Notices Amer. Math. Soc. 57, 1094-1104, 2010).
01 Nov 2015
TL;DR: In this paper, Quadrature Mirror Filter (QMF) is used as a base filter bank for sub band applications and sub band coding in signal processing in the signal processing.
Abstract: Filter banks are used like as sub band applications and sub band coding in the signal processing. Quadrature Mirror Filter (QMF) is a base filter bank for these applications. In this work, QMF bank designed for specific signal. QMF prototype filter parameters are designed with Differential Evolution Algorithm.