matlab code by using ADALINE

The aim of this work is to illustrate the ability of the adaptive linear combiner(ADALINE) trained with the LMS algorithm( Delta Rule ), to estimate the parameters of a linear model. The input data consist of 1,000 zero-mean Gaussian random vectors with three components, that is, x ε R3 x 1, and the bias is set to zero, β=0. The variances of the components of x are 5,1 and 0.5 , respectively. The assumed linear model is given by a=[1, 0.8, -1]T. To generate the target values (desired outputs), the 1,000 input vectors are used to form a matrix X=[x1 x2 x3 x4 …. X1000] , and the desired outputs are computed according to d=aT X. Using LMS algorithm with a value of μ0=0.9 / λmax, where λmax is the largest eigen value of the covariance matrix Cx and T0= τ =200 (the search time constant), the input vectors along with the associated desired output values are presented to the linear combiner. , where e(k)=d(k)-wT(k)x(k). Winit=[-0.3043,-0.8195, 0.3855] What will you do for this work? 1) Firstly generate the data wanted in the question. For this, use “randn?? function. For example, according to this question; x1=(5^0.5)*randn(1,1000); This command will generate Gaussian distributed data of x1 with variance 5. Generate the other two data (x2 and x3) and by combining x1, x2 and x3 get the input vector. 2) In question, it is requested to multiply input vector with linear model [login to view URL] is, d=aT*X. Here, d is desired output. Do this multiplication in MATLAB. 3) You will use μ0 while updating the weigths. The formula of μ0 is given in question as μ0=0.9 / λmax. λmax is the maximum eigen value of covariance matrix. You can find this value by the “eig?? command in MATLAB. eigen_value= eig(cov_matrix); Covariance matrix is calculated as x*x’/1000 for this question. So you must write cov_matrix=x*x’/1000; then eigen_value= eig(cov_matrix); 4) In the program μ must be updated, too. In MATLAB, write the formula given below: the full document is in zip file ## Deliverables 1) Complete and fully-functional working program(s) in executable form as well as complete source code of all work done. 2) Deliverables must be in ready-to-run condition, as follows? (depending on the nature? of the deliverables): a)? For web sites or? other server-side deliverables intended to only ever exist in one place in the Buyer's environment--Deliverables must be installed by the Seller in ready-to-run condition in the Buyer's environment. b) For all others including desktop software or software the buyer intends to distribute: A software? installation package that will install the software in ready-to-run condition on the platform(s) specified in this bid request. 3) All deliverables will be considered "work made for hire" under U.S. Copyright law. Buyer will receive exclusive and complete copyrights to all work purchased. (No GPL, GNU, 3rd party components, etc. unless all copyright ramifications are explained AND AGREED TO by the buyer on the site per the coder's Seller Legal Agreement). ## Platform matlab