Interpolation and extrapolation, MATLAB in Engineering

Assignment Help:

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.

 


Related Discussions:- Interpolation and extrapolation

Forward substitution, Forward substitution: The Forward substitution (...

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,

Passing structures to functions, Passing Structures to Functions: The ...

Passing Structures to Functions: The whole structure can be passed to a function, or separate fields can be passed. For illustration, here are the two distinct versions of a f

Reading from a file in a while loop, Reading from a File in a While Loop: ...

Reading from a File in a While Loop: Though in most languages the combination of a loop and an if statement would be essential to determine whether or not the elements in a ve

Technique to create nested structures, Technique to create Nested structure...

Technique to create Nested structures: This technique is the most proficient. Though, the other technique is to build the nested structure one field at a time. As this is a ne

Gauss, Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations...

Gauss, Gauss-Jordan elimination: For 2 × 2 systems of equations, there are well-defined, easy solution techniques. Though, for the larger systems of equations, finding solutio

Illustration of if - else statement, Illustration of if - else statement: ...

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

Is functions in matlab, IS Functions in Matlab: There are many functio...

IS Functions in Matlab: There are many functions which are built into MATLAB which test whether or not something is true; these function names start with the word is. As these

Binary search, Binary Search: The binary search supposes that the vect...

Binary Search: The binary search supposes that the vector has been sorted first. The algorithm is just similar to the way it works whenever looking for a name in a phone direc

Solving 2 × 2 systems of equations, Solving 2 × 2 systems of equations: ...

Solving 2 × 2 systems of equations: However this may be easy in a MATLAB, in normal finding solutions to the systems of equations is not. The systems which are 2 × 2 are, thou

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd