New Approach to the Design of Low Complexity 9/7 Tap Wavelet Filters With Maximum Vanishing Moments

2014 ◽  
Vol 23 (12) ◽  
pp. 5722-5732 ◽  
Author(s):  
Ameya Kishor Naik ◽  
Raghunath Sambhaji Holambe
Keyword(s):  
Low Complexity ◽  
Vanishing Moments ◽  
New Approach ◽  
Wavelet Filters

A unified framework for the design of low-complexity wavelet filters

2017 ◽  
Vol 15 (06) ◽  
pp. 1750054 ◽  
Author(s):  
Ameya K. Naik ◽  
Raghunath S. Holambe
Keyword(s):  
Feature Extraction ◽  
Compact Support ◽  
Low Complexity ◽  
Design Parameters ◽  
Unified Framework ◽  
Vanishing Moments ◽  
Wavelet Filters ◽  
Design Variables ◽  
Optimum Filter ◽  
Simulation Results

An outline is presented for construction of wavelet filters with compact support. Our approach does not require any extensive simulations for obtaining the values of design variables like other methods. A unified framework is proposed for designing halfband polynomials with varying vanishing moments. Optimum filter pairs can then be generated by factorization of the halfband polynomial. Although these optimum wavelets have characteristics close to that of CDF 9/7 (Cohen-Daubechies-Feauveau), a compact support may not be guaranteed. Subsequently, we show that by proper choice of design parameters finite wordlength wavelet construction can be achieved. These hardware friendly wavelets are analyzed for their possible applications in image compression and feature extraction. Simulation results show that the designed wavelets give better performances as compared to standard wavelets. Moreover, the designed wavelets can be implemented with significantly reduced hardware as compared to the existing wavelets.

scholarly journals A Novel Detection Scheme for EBPSK System

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Xianqing Chen ◽  
Lenan Wu
Keyword(s):  
Communication System ◽  
Communication Systems ◽  
Low Complexity ◽  
Detection Technique ◽  
Joint Detection ◽  
Phase Shift Keying ◽  
Detection Scheme ◽  
New Approach ◽  
Shift Keying ◽  
Binary Phase Shift Keying

We introduce the extended binary phase shift keying (EBPSK) communication system which is different from traditional communication systems by using a special impacting filter (SIF) for demodulation. The joint detection technique is applied at the demodulator side in order to improve the performance of the system under intersymbol interference (ISI). The main advantage of the joint detection technique, when compared to conventional threshold approaches, lies in its ability to use the amplitude and the correlation between neighboring bits, thus significantly improving performance, with low complexity. Moreover, we concentrate not only on increasing the bit rate of the system, but also on designing a bandwidth efficient communication system. Simulation results show that this new approach significantly outperforms the conventional method of using threshold decision by from 3.5 to 5 dB. The new system also occupies a narrower bandwidth. So joint detection is an effective method for EBPSK demodulation under ISI.

NEW APPROACH OF SIGNED BINARY NUMBERS MULTIPLICATION AND ITS IMPLEMENTATION ON FPGA

2021 ◽  
Vol 26 (1) ◽  
pp. 56-68
Author(s):  
Sarifuddin Madenda ◽  
Suryadi Harmanto
Keyword(s):  
Field Programmable Gate Array ◽  
Low Complexity ◽  
Negative Numbers ◽  
New Approach ◽  
New Model ◽  
Proposed Model ◽  
Field Programmable ◽  
Gate Array ◽  
Complexity Algorithm

This paper proposes a new model of signed binary multiplication. This model is formulated mathematically and can handle four types of binary multipliers: signed positive numbers multiplied by signed positive numbers (SPN-by-SPN); signed positive numbers multiplied by signed negative numbers (SPN-by-SNN); signed negative numbers multiplied by signed positive numbers (SNN-by-SPN); and signed negative numbers multiplied by signed negative numbers (SNN-by-SNN). The proposed model has a low complexity algorithm, is easy to implement in software coding and integrated in a hardware FPGA (Field-Programmable Gate Array), and is more powerful compared to the modified Baugh-Wooley's model.

scholarly journals Reduced-Complexity Direction of Arrival Estimation Using Real-Valued Computation with Arbitrary Array Configurations

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Feng-Gang Yan ◽  
Jun Wang ◽  
Shuai Liu ◽  
Yi Shen ◽  
Ming Jin
Keyword(s):  
State Of The Art ◽  
Direction Of Arrival ◽  
Doa Estimation ◽  
Low Complexity ◽  
Eigenvalue Decomposition ◽  
Music Algorithm ◽  
New Approach ◽  
Multiple Signal Classification ◽  
Wide Range ◽  
Complexity Algorithm

A low-complexity algorithm is presented to dramatically reduce the complexity of the multiple signal classification (MUSIC) algorithm for direction of arrival (DOA) estimation, in which both tasks of eigenvalue decomposition (EVD) and spectral search are implemented with efficient real-valued computations, leading to about 75% complexity reduction as compared to the standard MUSIC. Furthermore, the proposed technique has no dependence on array configurations and is hence suitable for arbitrary array geometries, which shows a significant implementation advantage over most state-of-the-art unitary estimators including unitary MUSIC (U-MUSIC). Numerical simulations over a wide range of scenarios are conducted to show the performance of the new technique, which demonstrates that with a significantly reduced computational complexity, the new approach is able to provide a close accuracy to the standard MUSIC.

scholarly journals A study on optimally constructed compactly supported orthogonal wavelet filters

2021 ◽  
pp. 52-52
Author(s):  
Yongkai Fan ◽  
Qian Hu ◽  
Yun Pan ◽  
Chaosheng Huang ◽  
Chao Chen ◽  
...  
Keyword(s):  
Nonlinear Equations ◽  
System Of Nonlinear Equations ◽  
Orthogonal Wavelet ◽  
Initial Value ◽  
Vanishing Moments ◽  
Type Method ◽  
Wavelet Filters ◽  
Compactly Supported ◽  
Elementary Method ◽  
Newton Iteration Method

Compactly supported orthogonal wavelet filters are extensively applied to the analysis and description of abrupt signals in fields such as multimedia. Based on the application of an elementary method for compactly supported orthogonal wavelet filters and the construction of a system of nonlinear equations for filter coefficients, we design compactly supported orthogonal wavelet filters, in which both the scaling and wavelet functions have many vanishing moments, by approximately solving the system of nonlinear equations. However, when solving such a system about filter coefficients of compactly supported wavelets, the most widely used method, the Newton Iteration method, cannot converge to the solution if the selected initial value is not near the exact solution. For such, we propose optimization algorithms for the Gauss-Newton type method that expand the selection range of initial values. The proposed method is optimal and promising when compared to other works, by analyzing the experimental results obtained in terms of accuracy, iteration times, solution speed, and complexity.

THE DYADIC LIFTING SCHEMES AND THE DENOISING OF DIGITAL IMAGES

2008 ◽  
Vol 06 (03) ◽  
pp. 331-351 ◽  
Author(s):  
TURGHUNJAN ABDUKIRIM TÜRÜKI ◽  
MUHAMMAD HUSSAIN ◽  
KOICHI NIIJIMA ◽  
SHIGERU TAKANO
Keyword(s):  
Digital Images ◽  
Vanishing Moments ◽  
Wavelet Filters ◽  
Orthogonal Wavelets ◽  
Construction Methods ◽  
Dyadic Wavelet ◽  
Custom Design ◽  
Free Parameters ◽  
Lifting Schemes ◽  
Design Techniques

The dyadic lifting schemes, which generalize Sweldens lifting schemes, have been proposed for custom-design of dyadic and bi-orthogonal wavelets and their duals. Starting with dyadic wavelets and exploiting the control provided in the form of free parameters, one can custom-design dyadic as well as bi-orthogonal wavelets adapted to a particular application. To validate the usefulness of the schemes, two construction methods have been proposed for designing dyadic wavelet filters with higher number of vanishing moments; using these design techniques, spline dyadic wavelet filters have been custom-designed for denoising of digital images, which exhibit enhanced denoising effects.

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