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learning using MATLAB. Working with a range of classification models, we will perform model assessment and comparisons. Dr. Elvira Osuna-Highley is a Senior Customer Success Engineer at MathWorks, where she supports faculty in their teaching and research with MATLAB.
Workflow for Data Analysis in MATLAB • Access – Data files - in all kinds of formats – Software - by calling out to other languages/applications – Hardware - using the Data Acquisition Toolbox, e.g. • Pre-process… Analyze… Visualize… • Share – Reporting (MS Office, e.g.) - can do this with touch of a button
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May 4, 2024 · Algorithm Collections for Digital Signal Processing Applications using Matlab - E.S. Gopi.pdf
Lecture 1: Introduction to MATLAB (PDF - 2.8MB) Getting Started; Scripts; Making Variables; Manipulating Variables; Basic Plotting; 2. Lecture 2: Visualization and Programming (PDF - 2.3 MB) Functions; Flow Control; Line Plots; Image/Surface Plots; Efficient Codes; Debugging; 3. Lecture 3: Solving Equations, Curve Fitting, and Numerical ...
- Trademarks
- Patents
- Calculations on Vectors and Matrices
- MATLAB GUIs for Data Analysis
- Related Toolboxes
- Toolboxes That Extend MATLAB Data Analysis
- Importing and Exporting Data
- Introduction
- Removing Outliers
- Introduction
- Daily Closing Stock Prices
- Detrending Data and Plotting Results
- Functions for Calculating Descriptive Statistics
- Statistics Function Summary
- Formatting Data Statistics on Plots
- Residuals and Goodness of Fit
- When to Use the Curve Fitting Toolbox
- Introduction
- Covariance
- Correlation Coefficients
- The Basic Fitting GUI
- Preparing for Basic Fitting
- Opening the Basic Fitting GUI
- Fitting Data
- MATLAB Functions for Polynomial Models
- Plot of the Residuals
- Fifth-Degree Polynomial Fit
- Fitting a Polynomial to the Data
- Residuals for the Quadratic Polynomial Model
- Introduction
- Function Summary
- Introduction
- Time Series Syntax Descriptions
- Time Series Property Descriptions
- General Methods
- Data and Time Manipulation Methods
- Methods for Manipulating Data and Time
- Arithmetic Operation Methods
- Methods to Arithmetically Combine Time Series
- Statistical Methods
- Introduction
- Time Series Collection Properties
- Time Series Collection Property Descriptions
- General Time Series Collection Methods
- Data and Time Manipulation Methods
- Getting Help
- Time Series Tools Window
- Types of Data You Can Import
- Importing Time Series and Time Series Collection Objects
- Importing Data from External Files
- Using the Import Wizard
- Importing Multivariate Data
- Choosing How to Represent Multivariate Data
- Creating a Time Series Collection
- Importing Data with Missing Values
- Exporting Data from Time Series Tools
- Types of Plots in Time Series Tools
- Creating a Plot
- Editing Plot Appearance
- Time Plots
- Spectral Plots
- Filtering the Data
- Selecting Data
- Interpreting Correlation Plots
- Cross-Correlation Algorithm
- XY Plots
- Excluding Data from Analysis
- Define a Uniform Time Vector
- Add Data Samples
- Delete Data Samples
- Units and Interpolation Method
- Enabling M-Code Generation
MATLAB, Simulink, Stateflow, Handle Graphics, Real-Time Workshop, and xPC TargetBox are registered trademarks, and SimBiology, SimEvents, and SimHydraulics are trademarks of The MathWorks, Inc. Other product or brand names are trademarks or registered trademarks of their respective holders.
The MathWorks products are protected by one or more U.S. patents. Please see www.mathworks.com/patents for more information. x Contents
Whereas some MATLAB functions support only vector inputs, others accept matrices. When your data is a vector, the result is the same whether the vector has a rowwise or columnwise orientation. However, when your data is a matrix, MATLAB performs calculations independently for each column. This means that when you pass a matrix as an argument to the...
In addition to the various MATLAB functions for performing data analysis, MATLAB provides four graphical user interfaces (GUIs) that facilitate common data-analysis tasks. The following table lists these GUIs and tells you how to get more information about each one.
The following table summarizes the toolboxes that extend MATLAB data-analysis capabilities. For the latest information about these and other MathWorks products, point your Web browser to www.mathworks.com
Toolboxes That Extend MATLAB Data Analysis (Continued)
The first step in analyzing data is to import it into MATLAB. The MATLAB Programming documentation provides detailed information about supported data formats and the functions for bringing data into MATLAB. The easiest way to import data into MATLAB is to use the MATLAB Import Wizard, as described in the MATLAB Programming documentation. With the I...
After you import data into MATLAB, it is a good idea to plot the data so that you can explore its features. An exploratory plot of your data enables you to identify discontinuities and potential outliers, as well as the regions of interest. The MATLAB Graphics documentation fully describes the MATLAB figure window, which displays the plot. It also ...
When you examine a data plot, you might find that some points appear to dramatically differ from the rest of the data. In some cases, it is reasonable to consider such points outliers, or data values that do not appear to be consistent with the rest of the data. The following example illustrates how to remove outliers from three data sets in the 24...
The MATLAB function detrend subtracts the mean or a best-fit line (in the least-squares sense) from your data. If your data contains several data columns, MATLAB detrends each data column separately. Removing a trend from the data enables you to focus your analysis on the fluctuations in the data about the trend. A linear trend typically indicates ...
Notice the systematic increase in the stock prices when this data was collected.
Remove a best-fit line (in the least-squares sense) from sdata results to a new variable, detrend_sdata: detrend_sdata=detrend(sdata); Plot the detrended data in a new MATLAB Figure window: and save the figure plot(detrend_sdata,'-') legend('Detrended Data',2) xlabel('Time (days)'); ylabel('Detrended Stock Price (dollars)');
You can use the following MATLAB functions to calculate the descriptive statistics for your data. Note For matrix data, MATLAB calculates descriptive statistics for each column independently.
Statistics Function Summary (Continued) The following examples apply MATLAB functions to calculate descriptive statistics:
The Data Statistics GUI uses colors and line styles to distinguish statistics from the data on the plot. This portion of the example shows how to customize the display of descriptive statistics on a plot, such as the color, line width, line style, or marker. Note Do not edit display properties of statistics until you finish plotting all the statist...
Residuals are defined as the difference between the observed values of the dependent variable and the values that are predicted by the model. When you fit a model that is appropriate for your data, the residuals approximate independent random errors. To calculate fit parameters for a linear model, MATLAB minimizes the sum of the squares of the resi...
The Curve Fitting Toolbox extends core MATLAB functionality by enabling the following data-fitting capabilities: Linear and nonlinear parametric fitting, including standard linear least squares, nonlinear least squares, weighted least squares, constrained least squares, and robust fitting procedures Nonparametric fitting Statistics for determining ...
Before you fit a function to model the relationship between two measured quantities, it is a good idea to determine if a relationship exists between these quantities. Correlation is a method for establishing the degree of probability that a linear relationship exists between two measured quantities. When there is no correlation between the two quan...
Use the MATLAB cov function to explicitly calculate the covariance matrix for a data matrix (where each column represents a separate quantity). In typical data analysis applications, where you are mostly interested in the degree of relationship between variables, you can calculate the correlation coefficients directly without calculating the covari...
The correlation coefficient matrix represents the normalized measure of the strength of linear relationship between variables. Correlation coefficients rk are given by N xt x xt ( ∑ x − ) ( − k
The MATLAB Basic Fitting GUI allows you to interactively: Model data using a spline interpolant, a shape-preserving interpolant, or a polynomial up to the tenth degree Plot one or more fits together with data Plot the residuals of the fits Compute model coefficients Compute the norm of the residuals (a measure of the goodness of fit) Use the model ...
The Basic Fitting GUI sorts your data in ascending order before fitting. If your data set is large and the values are not sorted in ascending order, it will take longer for the Basic Fitting GUI to preprocess your data before fitting. You can speed up the Basic Fitting GUI by first sorting your data in MATLAB. To create sorted vectors x_sorted and ...
To use the Basic Fitting GUI, you must first plot your data in a figure window, using any MATLAB plotting command that produces (only) x and y data. To open the Basic Fitting GUI, select Tools > Basic Fitting from the menus at the top of the figure window. The GUI consists of three panels: For selecting a model and plotting options For examining an...
Open the Basic Fitting dialog box by selecting Tools > Basic Fitting in the Figure window. In the Plot fits area of the Basic Fitting dialog box, select the cubic check box to fit a cubic polynomial to the data. MATLAB displays the following warning: Polynomial is badly conditioned. Removing repeated data points or centering and scaling may improve...
MATLAB provides two functions for modeling your data with a polynomial.
Notice that the second-degree fit roughly follows the basic shape of the data, but does not capture the smooth curve on which the data seems to lie. There appears to be a pattern in the residuals, which indicates that a different model might be necessary. A fifth-degree polynomial (shown next) does a better job of following the fluctuations in the ...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
In this portion of the example, you will enable automatic M-code generation in Time Series Tools to capture reusable M-code as a MATLAB function. In the Time Series Tools window, select File > Record M-Code. This opens the Record M-Code dialog box. Click the button and select the folder where you want to store the M-file. In the Log file name field...
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What is data analysis? I talked about my software libraries and showed examples of my favorites and my philosophy of how I organized it. We went through the motion of running guyotweather which included git both on a Windows machine and a MAC. Only few had xcode installed so we went the hard way. It did work.
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We almost never use MATLAB like this, however – the format of the output is difficult to read, and it’s hard to keep track of complicated calculations. Instead, we write a script to do the calculations, and then have MATLAB execute the script. There are two general types of MATLAB script:
