Measuring Signal Similarities
Measure signal similarities. It will help you answer questions such as: How do I compare signals with different lengths or different sampling rates? How do I find if there is a signal or just noise in a measurement? Are two signals related? How to measure a delay between two signals (and how do I align them)? How do I compare the frequency content of two signals?…
Modeling the United States Economy
Economists and policymakers are concerned with understanding the dynamics of economies, especially during periods of significant macroeconomic shocks. Although numerous approaches are possible, we will develop a small macroeconomic model in the style of Smets and Wouters.
This example shows how to use Simulink® to model a quadcopter. It uses Simulink® Projects to manage the model and source files. This example provides an implementation of the Flight Simulation application Template for the collaborative development of a flight simulation application.
Lagrange Interpolation Polynomial
If you have a set of N points on a cartesian plane, there will always exist an N-1th order polynomial of the form y = a_0 + a_1.x + a_2.x^2 + ... a_n-1.x^(n-1) which passes through all the points. Lagrange came up with a neat approach to finding this polynomial, which is to construct a set of `basis' polynomials which are zero at all the specified points except for one, then scale and add them to match all the control points. LAGRANGEPOLY returns this polynomi
Using the Kalman Filter to Estimate and Forecast the Diebold-Li Yield Curve Model
In the aftermath of the financial crisis of 2008, additional solvency regulations have been imposed on many financial firms, placing greater emphasis on the market valuation and accounting of liabilities. Many firms, notably insurance companies and pension funds, write annuity contracts and incur long-term liabilities that call for sophisticated approaches to model and forecast yield curves.
This product allows users to interactively design a tabular expression. The resusulting function can be saved as a Simulink block or to a Matlab m-file. Tabular Expressions can be proved to be disjoint and complete using the PVS theorem prover. This allows users to ensure that the table they are designing has covered all possible inputs and is deterministic.
Demo file for batchpleas.m
batchpleas is a wrapper for lsqnonlin, allowing it to solve many small problems (all with the same parameterization) in one batched, partitioned nonlinear least squares estimation. This takes advantage of economies of scale, so as to gain a higher throughput overall. The gain can be dramatic.
Computational cost for Cramer's rule
There are plenty of direct and iterative methods to solve a linear algebraic system of equations. Using Cramer's rule, one can easily obtain the solution for small systems by hand. However, with the growth of the unknowns, the method becomes computationally very expensive. Moreover, calculating a determinant by its definition may result in overflow or underflow if someone wanted to apply it on a computer. That is why Cramer's algorithm is not applied in computations.
Simulating Automatic Climate Control Systems
This example shows how to simulate the working of an automatic climate control system in a car using Simulink® and Stateflow®. You can enter a temperature value you would like the air in the car to reach by double clicking the User Setpoint in Celsius Block and entering the temperature value. You can also set the External Temperature in Celsius in a similar way. The numerical display on the right-hand side of the model shows the reading of a temperature sensor placed behind the driver's head. This is the te