• Title/Summary/Keyword: Least Squares Algorithm

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A Study on the DC to DC Converter to Improve the Performance of Power LED System (파워 LED 시스템 성능개선을 위한 DC/DC 컨버터에 관한 연구)

  • Kim, Young Tae;Kim, Sei Yoon
    • Journal of Drive and Control
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    • v.19 no.4
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    • pp.85-90
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    • 2022
  • In this paper, a DC converter to improve the performance of Power LED system is discussed. The mathematical model of PWM converter power stage using 3-Terminal PWM cell is introduced for power LED system. A controller for DC converter system is used as a self-tunning regulator with a recursive least-squares algorithm. Minimum variance control method is used as a control law. Experiment results verified that proposed control system could improve the performance of Power LED system.

Structural damage detection based on changes of wavelet transform coefficients of correlation functions

  • Sadeghian, Mohsen;Esfandiari, Akbar;Fadavie Manochehr
    • Structural Monitoring and Maintenance
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    • v.9 no.2
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    • pp.157-177
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    • 2022
  • In this paper, an innovative finite element updating method is presented based on the variation wavelet transform coefficients of Auto/cross-correlations function (WTCF). The Quasi-linear sensitivity of the wavelet coefficients of the WTCF concerning the structural parameters is evaluated based on incomplete measured structural responses. The proposed algorithm is used to estimate the structural parameters of truss and plate models. By the solution of the sensitivity equation through the least-squares method, the finite element model of the structure is updated for estimation of the location and severity of structural damages simultaneously. Several damage scenarios have been considered for the studied structure. The parameter estimation results prove the high accuracy of the method considering measurement and mass modeling errors.

Penalized maximum likelihood estimation with symmetric log-concave errors and LASSO penalty

  • Seo-Young, Park;Sunyul, Kim;Byungtae, Seo
    • Communications for Statistical Applications and Methods
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    • v.29 no.6
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    • pp.641-653
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    • 2022
  • Penalized least squares methods are important tools to simultaneously select variables and estimate parameters in linear regression. The penalized maximum likelihood can also be used for the same purpose assuming that the error distribution falls in a certain parametric family of distributions. However, the use of a certain parametric family can suffer a misspecification problem which undermines the estimation accuracy. To give sufficient flexibility to the error distribution, we propose to use the symmetric log-concave error distribution with LASSO penalty. A feasible algorithm to estimate both nonparametric and parametric components in the proposed model is provided. Some numerical studies are also presented showing that the proposed method produces more efficient estimators than some existing methods with similar variable selection performance.

Takagi-Sugeno Fuzzy Model for Greenhouse Climate

  • Imen Haj Hamad;Amine Chouchaine;Hajer Bouzaouache
    • International Journal of Computer Science & Network Security
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    • v.24 no.7
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    • pp.24-30
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    • 2024
  • This paper investigates the identification and modeling of a climate greenhouse. Given real climate data from greenhouse installed in the LAPER laboratory in Tunisia, the objective of this paper is to propose a solution of the problem of nonlinear time variant inputs and outputs of greenhouse internal climate. Based on fuzzy logic technique combined with least mean squares (lms) a robust greenhouse climate model for internal temperature prediction is proposed. The simulation results are presented to demonstrate the effectiveness of the identification approach and the power of the implemented Takagi-Sugeno Fuzzy model based Algorithm.

Structural Design of FCM-based Fuzzy Inference System : A Comparative Study of WLSE and LSE (FCM기반 퍼지추론 시스템의 구조 설계: WLSE 및 LSE의 비교 연구)

  • Park, Wook-Dong;Oh, Sung-Kwun;Kim, Hyun-Ki
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.5
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    • pp.981-989
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    • 2010
  • In this study, we introduce a new architecture of fuzzy inference system. In the fuzzy inference system, we use Fuzzy C-Means clustering algorithm to form the premise part of the rules. The membership functions standing in the premise part of fuzzy rules do not assume any explicit functional forms, but for any input the resulting activation levels of such radial basis functions directly depend upon the distance between data points by means of the Fuzzy C-Means clustering. As the consequent part of fuzzy rules of the fuzzy inference system (being the local model representing input output relation in the corresponding sub-space), four types of polynomial are considered, namely constant, linear, quadratic and modified quadratic. This offers a significant level of design flexibility as each rule could come with a different type of the local model in its consequence. Either the Least Square Estimator (LSE) or the weighted Least Square Estimator (WLSE)-based learning is exploited to estimate the coefficients of the consequent polynomial of fuzzy rules. In fuzzy modeling, complexity and interpretability (or simplicity) as well as accuracy of the obtained model are essential design criteria. The performance of the fuzzy inference system is directly affected by some parameters such as e.g., the fuzzification coefficient used in the FCM, the number of rules(clusters) and the order of polynomial in the consequent part of the rules. Accordingly we can obtain preferred model structure through an adjustment of such parameters of the fuzzy inference system. Moreover the comparative experimental study between WLSE and LSE is analyzed according to the change of the number of clusters(rules) as well as polynomial type. The superiority of the proposed model is illustrated and also demonstrated with the use of Automobile Miles per Gallon(MPG), Boston housing called Machine Learning dataset, and Mackey-glass time series dataset.

A Fast Least-Squares Algorithm for Multiple-Row Downdatings (Multiple-Row Downdating을 수행하는 고속 최소자승 알고리즘)

  • Lee, Chung-Han;Kim, Seok-Il
    • The Transactions of the Korea Information Processing Society
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    • v.2 no.1
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    • pp.55-65
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    • 1995
  • Existing multiple-row downdating algorithms have adopted a CFD(Cholesky Factor Downdating) that recursively downdates one row at a time. The CFD based algorithm requires 5/2p $n^{2}$ flops(floating point operations) downdating a p$\times$n observation matrix $Z^{T}$ . On the other hands, a HCFD(Hybrid CFD) based algorithm we propose in this paper, requires p $n^{2}$+6/5 $n^{3}$ flops v hen p$\geq$n. Such a HCFD based algorithm factorizes $Z^{T}$ at first, such that $Z^{T}$ = $Q_{z}$ RT/Z, and then applies the CFD onto the upper triangular matrix Rt/z, so that the total number of floating point operations for downdating $Z^{T}$ would be significantly reduced compared with that of the CFD based algorithm. Benchmark tests on the Sun SPARC/2 and the Tolerant System also show that performance of the HCFD based algorithm is superior to that of the CFD based algorithm, especially when the number of rows of the observation matrix is large.rge.

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Distributed Arithmetic Adaptive Digital Filter Using FPGA

  • Chivapreecha, Sorawat;Piyamahachot, Satianpon;Namcharoenwattanakul, Anekchai;Chaimanee, Deow;Dejhan, Kobchai
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1577-1580
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    • 2004
  • This paper proposes a design and implementation of transversal adaptive digital filter using LMS (Least Mean Squares) adaptive algorithm. The filter structure is based on Distributed Arithmetic (DA) which is able to calculate the inner product by shifting and accumulating of partial products and storing in look-up table, also the desired adaptive digital filter will be multiplierless filter. In addition, the hardware implementation uses VHDL (Very high speed integrated circuit Hardware Description Language) and synthesis using FLEX10K Altera FPGA (Field Programmable Gate Array) as target technology and uses Leonardo Spectrum and MAX+plusII program for overall development. The results of this design are shown that the speed performance and used area of FPGA. The experimental results are presented to demonstrate the feasibility of the desired adaptive digital filter.

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Speed Improvement of an FTICR Mass Spectra Analysis Program by Simple Modifications

  • Jeon, Sang-Hyun;Chang, Hyeong-Soo;Hur, Man-Hoi;Kwon, Kyung-Hoon;Kim, Hyun-Sik;Yoo, Jong-Shin;Kim, Sung-Hwan;Park, Soo-Jin;Oh, Han-Bin
    • Bulletin of the Korean Chemical Society
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    • v.30 no.9
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    • pp.2061-2065
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    • 2009
  • Two simple algorithm modifications are made to the THRASH data retrieval program with the aim of improving analysis speed for complex Fourier transform ion cyclotron resonance (FTICR) mass spectra. Instead of calculating the least-squares fit for every charge state in the backup charge state determination algorithm, only some charge states are pre-selected based on the plausibility values obtained from the FT/Patterson analysis. Second, a modification is made to skip figure-of-merit (FOM) calculations in the central m/z region between two neighboring peaks in isotopic cluster distributions, in which signal intensities are negligible. These combined modifications result in a significant improvement in the analysis speed, which reduces analysis time as much as 50% for ubiquitin (8.6 kDa, 76 amino acids) FTICR MS and MS/MS spectra at the reliability (RL) value = 0.90 and five pre-selected charge states with minimal decreases in data analysis quality (Table 3).

A Fast and Precise Blind I/Q Mismatch Compensation for Image Rejection in Direct-Conversion Receiver

  • Kim, Suna;Yoon, Dae-Young;Park, Hyung Chul;Yoon, Giwan;Lee, Sang-Gug
    • ETRI Journal
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    • v.36 no.1
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    • pp.12-21
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    • 2014
  • In this paper, we propose a new digital blind in-phase/quadrature-phase (I/Q) mismatch compensation technique for image rejection in a direct-conversion receiver (DCR). The proposed image-rejection circuit adopts DC offset cancellation and a sign-sign least mean squares (LMS) algorithm with a unique step size adaptation both for a fast and precise I/Q mismatch estimation. In addition, several performance-optimizing design considerations related to accuracy, speed, and hardware simplicity are discussed. The implementation of the proposed circuit in an FPGA results in an image-rejection ratio (IRR) of 65 dB, which is the best performance with modulated signals, along with an adaptation time of 0.9 seconds, which is a tenfold increase in the compensation speed as compared to previously reported circuits. The proposed technique will be a promising solution in the area of image rejection to increase both the speed and accuracy of future DCRs.

Design of low-noise II R filter with high-density and low-power properties (고집적, 저전력 특성을 갖는 저잡음 IIR 필터 설계)

  • Bae Sung-hwan;Kim Dae-ik
    • The KIPS Transactions:PartA
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    • v.12A no.1 s.91
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    • pp.7-12
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    • 2005
  • Scattered look-ahead(SLA) pipelining method can be efficiently used for high-speed or low-power applications of digital II R filters. Although the pipelined filters are guaranteed to be stable by this method, these filters suffer from large roundoff noise when the poles are crowded within some critical regions. An angle and radius constrained II R fille. design approach using modified Remez exchange algorithm and least squares algorithm is proposed to avoid tight pole-crowding in pipelined filters, resulting in improved frequency responses and reduced coefficient sensitivities. Experimental results demonstrate that our proposed method leads to chip area reduction by $33{\%}$ and low power by $45{\%}$ against the conventional method.