Interpolation and extrapolation, MATLAB in Engineering

Interpolation and extrapolation:

In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temperature was at 2:30 p.m., or at 1 p.m. Interpolation is estimating the values in between recorded data points. The Extrapolation is estimating outside the bounds of the recorded data. The one way to do this is to fit a curve to the data, and use this for the estimations. The Curve fitting is finding the curve which "best fits" the data.

The Simple curves are polynomials of various degrees. Therefore, curve fitting includes finding the best polynomials to fit the data-for illustration, for a quadratic polynomial in the form ax2 + bx + c, it means finding the values of a, b, and c which results the best fit. Finding the best straight line which goes through data would mean finding the values of a and b in the equation ax + b.

 

Posted Date: 10/22/2012 8:44:08 AM | Location : United States







Related Discussions:- Interpolation and extrapolation, Assignment Help, Ask Question on Interpolation and extrapolation, Get Answer, Expert's Help, Interpolation and extrapolation Discussions

Write discussion on Interpolation and extrapolation
Your posts are moderated
Related Questions

Example of Interpolation and extrapolation: The MATLAB has a function to do this, known as polyfit. The function polyfit finds the coefficients of the polynomial of the partic

Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar

Function issorted - set operations: The function issorted will return 1 for logical true when the argument is sorted in ascending order (minimum to maximum), or 0 for false wh

Finding a sting - function strfind: The function strfind does necessarily similar thing, except that the order of the arguments does make dissimilarity. The common form is str

Illustration of Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2  3  4  5  6 >> v2 = 1:2:7 v2 = 1  3  5  7

Execute a exponential function program: Running the script will take up the menu as shown in the figure: Then, what happens will totally depend on which button(s) the

Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t

Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on

Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,