least squares fitting using orthogonal polynomials

... MPCs And third, to analyze different weighted least- squares (WLS) localization techniques and evaluate their performance via Monte-Carlo simulations using the IEEE 802.15.4a channel model The paper ... statistics of the UWB channels The amplitude statistics are captured using the kurtosis, and the delay statistics are evaluated using the mean excess delay and the root mean square (rms) delay spread ... techniques as proposed in [27, 38] in order to obtain a linear set of equations from the nonlinear least- squares model in (15) If the nonlinear set of equations is given as in (7), by fixing one of the...

Ngày tải lên: 22/06/2014, 19:20

... ci2 , (6) 3.2 Direct LS equalization using Kautz filters The equalization method that is of main interest in this paper is the direct EQ configuration by least squares Kautz filter design as shown ... “‘Complementary’ signals and orthogonalized exponentials,” IRE Transactions on Circuit Theory, vol 9, pp 362–370, 1962 [25] H Brandenstein and R Unbehauen, Least- squares approximation of FIR ... respectively In addition, the use of orthogonal expansion coefficients corresponds to LS design with respect to the particular pole set, and as a consequence of the orthogonality, the EURASIP Journal...

Ngày tải lên: 22/06/2014, 23:20

... Nuclear magnetic resonance OPLS Orthogonal projections to latent structures/ orthogonal partial least squares PCA Principal component analysis PLS Partial least squares/ Projection to latent structures ... Principal Component Analysis 18 iv 1.3.3 Partial Least Squares/ Projection to Latent Structures 19 1.3.4 Orthogonal Partial Least Squares Discriminant Analysis 20 1.3.5 Pre-treatment ... Summary This thesis shows how metabolomics and multivariate statistical methods such as Orthogonal Partial Least Squares Discriminant Analysis (OPLS-DA) can be used to study and enhance understanding...

Ngày tải lên: 02/10/2015, 17:13

... recursive least- squares (RLS) algorithms and the corresponding fast versions (known as FTF and FAEST), QR and inverse QR algorithms, least- squares lattice (LSL), and QR decomposition-based least- squares ... Transformations • A Numerical Example 21.2 The Least- Squares Problem Geometric Interpretation • Statistical Interpretation 21.3 The Regularized Least- Squares Problem Geometric Interpretation • Statistical ... multiple rows 21.2 The Least- Squares Problem Now that we have explained the generic form of an array algorithm, we return to the main topic of this chapter and formulate the least- squares problem and...

Ngày tải lên: 16/12/2013, 04:15

... vol 53, no 2, pp 157–160, 2006 [9] T B Deng and Y Lian, “Weighted -least- squares design of variable fractional-delay FIR filters using coefficient symmetry,” IEEE Transactions on Signal Processing, ... 2002 [18] C C Tseng, “Design of 1-D and 2-D variable fractional delay allpass filters using weighted least- squares method,” IEEE Transactions on Circuits and Systems I, vol 49, no 10, pp 1413–1422, ... 1987 [27] M Lang and T I Laakso, “Simple and robust method for the design of allpass filters using least- squares phase error criterion,” IEEE Transactions on Circuits and Systems II, vol 41, no 1,...

Ngày tải lên: 21/06/2014, 07:20

... “Zeros of Jacobi-Sobolev orthogonal a polynomials, ” International Mathematical Journal, vol 4, no 5, pp 413–422, 2003 H G Meijer and M G de Bruin, “Zeros of Sobolev orthogonal polynomials following ... divergence almost everywhere of such expansions Jacobi Polynomials For α, β > −1, we denote by {Pn x }∞ the sequence of Jacobi polynomials which are n orthogonal on −1, with respect to the measure dμα,β ... 2.4 The second one follows by taking derivatives in 3.10 and using 2.6 α,β Using 3.10 in a recursive way, the representation of the polynomials Qn α,β−1 x }∞ becomes of the elements of the sequence...

Ngày tải lên: 21/06/2014, 07:20

... Robust reconstruction algorithm for compressed sensing in Gaussian noise environment using orthogonal matching pursuit with partially known support and random subsampling Parichat Sermwuthisarn1, ... reconstruction method using compressed signal ensemble from one compressed signal is proposed The compressed signal is subsampled for L times to create the ensemble of L compressed signals Orthogonal matching ... Lorentzian-based iterative hard thresholding, OMP-PKS and distributed compressed sensing using simultaneously orthogonal matching pursuit The experimental results of 42 standard test images showed...

Ngày tải lên: 21/06/2014, 17:20

... Robust reconstruction algorithm for compressed sensing in Gaussian noise environment using orthogonal matching pursuit with partially known support and random subsampling Parichat Sermwuthisarn1, ... reconstruction method using compressed signal ensemble from one compressed signal is proposed The compressed signal is subsampled for L times to create the ensemble of L compressed signals Orthogonal matching ... Lorentzian-based iterative hard thresholding, OMP-PKS and distributed compressed sensing using simultaneously orthogonal matching pursuit The experimental results of 42 standard test images showed...

Ngày tải lên: 21/06/2014, 19:20

... Doppler frequency of the pth path channel THE BLIND RECURSIVE LEAST SQUARES JOINT DETECTION AND ESTIMATION In Appendix A, recursive least squares algorithm is derived for the estimation of the MIMO ... presented in Section Note that in Appendix A, the derivation of the required equation in recursive least squares MIMO channel tracking algorithm is presented THE SYSTEM MODEL Block diagram of the transmitter ... Section 2, the signal transmission model and the channel model are introduced In Section 3, the least squares algorithm is derived and extended as a joint blind channel detection and estimation algorithm...

Ngày tải lên: 22/06/2014, 22:20

... 2 directly in a nonlinear least squares (NLS) or weighted least squares (WLS) framework Although optimum estimation performance can be attained, ... these two modified algorithms are referred to as the quadratic correction least squares (QCLS) and linear correction least squares (LCLS), respectively Recently, we have improved [18] the performance ... abbreviations and symbols AOA Angle-of-arrival CWLS Constrained weighted least squares CRLB Cram´ r-Rao lower bound e NLS Nonlinear least squares RSS Received signal strength TOA Time-of-arrival TDOA Time-difference-of-arrival...

Ngày tải lên: 22/06/2014, 23:20

... line, and dash line, respectively Their corresponding experimental results are plotted using the solid line with squares, dash-dot line with circles, and dash line with diamonds, respectively The ... MSK), and to flat/frequency-selective fading channels [17] D R Brillinger, “The comparison of least- squares and thirdorder periodogram procedures in the estimation of bifrequency,” Journal of Time ... “Frequency estimation and detection for sinusoidal signals with arbitrary envelope: a nonlinear least- squares approach,” in Proc IEEE Int Conf Acoustics, Speech, Signal Processing (ICASSP ’98), vol...

Ngày tải lên: 23/06/2014, 01:20

... frequency response performance Least squares and minimax (equiripple) stopbands can be obtained using the PCLS methods described in [6, 7, 8, 9] Neither least squares nor minimax stopbands are ... Sullivan, “Peak-constrained least squares optimization,” IEEE Trans Signal Processing, vol 46, pp 306– 321, February 1998 [7] J W Adams, “FIR digital filters with least- squares stopbands subject ... attenuation = 43.22 dB) Using the method presented in this paper, the 95 tap PCLS bit-serial FIR digital filter can be designed and the bitstream can be created in approximately minutes using a 950 MHz...

Ngày tải lên: 23/06/2014, 01:20

... ΣΓi 1.3 Orthogonal polynomials For fundamental facts on orthogonal polynomials our main reference is Chihara’s book [9] A moment functional L is a linear map C[x] → C A sequence of polynomials ... prove non-negativity results for orthogonal polynomials may be found Since it is a goal of the present paper to inspire collaboration between researchers of orthogonal polynomials and Eulerian posets, ... ask, what is the meaning of such invariants in the theory of orthogonal polynomials Finally, a new connection between certain orthogonal polynomials and statistics on words may be established by...

Ngày tải lên: 07/08/2014, 08:22

... algorithm for generalized least squares A General principles The QR algorithm (S 1973 ; L & H 1974 ; V LOAN, 1976) AWSON AN , ANSON , TEWART for solving generalized least squares problems is described ... variances Now define Q such that 1) Q is 4) R is The t orthogonal (i.e., Q Q an triangular upper = I), matrix with order and rank least squares solution to generalized with one (13) equal to ... terms of a fixed model with heterogeneous variances There are numerous computing algorithms for least squares problems applied to fixed linear models, and some may provide means by which animal breeders...

Ngày tải lên: 09/08/2014, 22:22

... with other regulators, and rarely act independently Partial least squares regression Here we propose to employ the method of partial least squares regression [15] to infer true TFAs and the functional ... alternative approach to partial least squares regression Chemom Intell Lab Syst 1993, 18:251-253 Braak CJFT, de Jong S: The objective function of partial least squares regression J Chemometrics ... NL: Canonical partial least squares and continuum power regression J Chemometrics 2001, 15:85-100 Datta S: Exploring relationships in gene expressions: a partial least squares approach Gene Expression...

Ngày tải lên: 13/08/2014, 23:20

... novel meshfree smoothed least- squares (SLS) method 45 2.1 Introduction 45 2.2 Meshfree smoothed least- squares (SLS) formulation 47 2.2.1 General least- squares formulations ... Moving least- squares (MLS) approximation Moving least- squares (MLS) is one of the most widely used approximation scheme used in meshfree methods It is originated by mathematicians for data fitting ... contribution of this thesis is development of the meshfree smoothed least- squares (SLS) method based on first-order least- squares formulation The meshfree SLS method uses a unified formulation...

Ngày tải lên: 11/09/2015, 16:07

... Newton-BiCGStab method which was introduced for solving least squares semidefinite programming problems can be extended to solve the least squares nonsymmetric matrix nuclear norm problems v Chapter ... shown to resolve such difficulty for the least squares semidefinite programming problems [6] Similarly we may also introduce smoothing functions for the least squares nonsysmetric matrix nuclear problems ... Issues The least squares nonsymmetric matrix nuclear problem (N S) s.t µ λ ∥xu ∥2 + ∥X − C∥2 F 2 W(X) − T (xu ) ∈ b + Q, ρ∥X∥∗ + (4.1) X ∈ ℜn1 ×n2 has an analogous form of the least squares semidefinite...

Ngày tải lên: 26/09/2015, 09:56

... systems over quasi-static flat fading channels, a least squares (LS) based method is proposed in this thesis Specifically, using the principle of Least squares, the complex gain factor between the ... OBJECTIVE and CONTRIBUTION Least squares (LS) method is a standard way of estimating the unknown parameters from the received data set In this thesis, we investigate how a least squares based approach ... is to adopt a least squares approach to minimize v To this, (25) can be simplified to become v  p2 p1   s p  u  , (26) 21 where   1   (27) To carry out the least squares formulation,...

Ngày tải lên: 13/10/2015, 15:54

... biện pháp phải quy định mô hình cấu tạo III Tổng quan Partial Least Squares (PLS) Khái niệm partial least squares Partial Least Squares kỹ thuật sử dụng rộng rãi lĩnh vực hóa học, đặc biệt trường ... Partial Least Squares - Vincenzo Esposito Vinzi, WynneW Chin, Jorg Henseler, and HuiwenWang - http://en.wikipedia.org/wiki/Partial _least_ squares_ regression - http://en.wikipedia.org/wiki/Partial _least_ squares_ path_modeling ... Ordinary Least Squares (OLS) Để hiểu rõ động lực PLS sử dụng liệu nhiều chiều lĩnh vực nghiên cứu hóa học, điều quan trọng phải hiểu cách phương pháp bình phương tối thiểu (Ordinary Least Squares...

Ngày tải lên: 10/02/2016, 00:15

... each carrier is orthogonal with respect to other carriers, so that the sidebands of the carrier cancel out rather than interfere with the next carrier The principle of using orthogonal carriers ... about the fading channel of the scattered signal on OFDM symbols 2.7.1 Least Square (LS) Estimation The purpose of least squares is to fit the measurements to model so that the weighted errors ... Channel Estemation 25 26 29 2.7.1 2.7.2 29 31 Least Square (LS) Estimation Minimum Mean Square Error (MMSE) Estimation vii 2.8 Channel Equalization Using Wavelet Denoising 32 2.9 2.8.1 Discrete...

Ngày tải lên: 26/05/2013, 21:28