I've tried to use Matlab's "filtfilt" function to do zero-phase filtering on my data. On the other hand, the input length has to be at least a third of the filter's order. What the heck is going on here?

... A centered dataset with n = 116 observations and p = 9 variables was analysed to reduce its dimensionality. The following is a list of singular eigenvalues of X in decreasing order, that is d₁, d2, . . . , dg: 399.1338, 192.1412, 173.0043, 161.6635, 158.0541, 146.6826, 140.0039, 134.1633, 121.1941. A) Compute and write the numerical value of the eigenvalue 4 of Σ. This eigenvalue is located in the position (4, 4) of the matrix A and is simultaneously the sample variance of the score PC4: B) Compute and write the percentage of total variability explained by the Principal component PC4. The number you write should be between 0 and 100 and you should include decimals in your answer. C) A threshold of total variability explained has been set at 80%. How many principal components must you select? Write your answer (integer value).

Practice Test Question #1: You want to solve a simplified 4x4 version of the Sudoku game with the following grid configuration (image attached): (a) Show the first ten steps of backtracking search on the sample provided, where you order the variables in increasing order first by row, then by column (in English reading-order), and the values from lowest to highest (1 to 4). Recall that backtracking search uses a depth-first strategy to expand the search tree. (b) Show the first ten steps of backtracking search on this problem with one-step forward checking, with the same variable ordering.

Write a MATLAB program to find the autocorrelation of the signal given below but you have to use the conv() function to find the autocorrelation. The use of the corr() function will lead to the rejection of the assignment. Signal: x (n) = {0,1,4,–3} %3D

Take plot (4.5, 5)  and write program for this code. Using matlab

Solve using matlab. Do if you had knowledge, else skip it.

I am trying to find 4 parameters as shown in the image. I started the MATLAB code but I don't have an idea of how the find the parameters. Can you help me find the four parameters for each i. The following is my code:  clc;clear all; i = 1:50;theta = zeros(size(i));lambda_hat = [1/sqrt(3); 1/sqrt(3); 1/saqrt(3)]; for i = 1:50       theta(i) = pi + (10^-6)*randn(1);    end i = 1:50;semilogy(i,theta)

Use the MATLAB function marcumq to write a program to plot the CDF of a Rician random variable. Your program should take as inputs the two parameters a  and σ of the Rician random variable and output a plot of the CDF. Be sure to correctly label the axes on your plot.