Computing Integrals with Wavelet Scaling and Translation Parameters

In summary, the conversation is about finding a software that can compute a specific integral involving a scaling function of a wavelet family and scaling and translation parameters. Suggestions for software such as Wolfram Mathematica, Matlab, and C code are given, and the person is asked to provide specific examples to test the software.
  • #1
omer21
25
0
I am looking for a software that can compute the following integral
[itex]
∫_0^1f(x)\phi(2^jx-k)dx.
[/itex]

[itex]\phi(x) [/itex] is scaling function of a wavelet family (especially Daubechies), j and k are scaling and translation parameters respectively.
 
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  • #2
Basically any software that can do numerics for you, e.g. Wolfram Mathematica, Matlab, or you can write a C code as well (using GSL).
 
  • #3
omer21 said:
I am looking for a software that can compute the following integral
[itex]
∫_0^1f(x)\phi(2^jx-k)dx.
[/itex]

If you can use this
http://reference.wolfram.com/mathematica/guide/Wavelets.html
to translate what you are interested in into one or two simple concrete examples then we can try it and see if the results will be in a form you can use.
 

1. What is an integral?

An integral is a mathematical concept that represents the area under a curve on a graph. It is used to calculate the total value of a function over a certain interval.

2. Why is computing an integral important?

Computing an integral is important because it allows us to solve a variety of problems in fields such as physics, engineering, and economics. It also helps us to understand the behavior of a function and make predictions based on its values.

3. What methods are used to compute an integral?

There are several methods used to compute an integral, including the rectangle method, trapezoid method, and Simpson's rule. These methods involve dividing the area under a curve into smaller shapes and approximating the total area by summing the areas of these shapes.

4. How do you know which method to use to compute a specific integral?

The choice of method to compute an integral depends on the complexity of the function and the desired level of accuracy. Generally, the more complex the function, the more accurate method is needed. It is also important to consider the limits of integration and the shape of the curve when choosing a method.

5. Can an integral be computed analytically?

Yes, some integrals can be solved analytically using mathematical formulas and techniques. However, many integrals cannot be solved analytically and require numerical methods for computation.

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