Technical Calculator

Convolution Calculator

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Convolution?

In arithmetic, convolution is the mathematical operation of two features (a and b), which creates a 3rd function (a * b) that represents how the form of one characteristic is modified via another feature. it is also defined because the critical of the made of any two features after one characteristic is inverted and shifted. So, calculate the fundamental of all offset values ​​to attain the convolution function. $$  (a * b) (t)  := ∫_-∞^∞b(r) a(t – r) dr $$

How to Calculate Convolution?

Example 1:

Write first data sequence (A) = 0.5, 0.2, 0.8, 1, 0.3

Then, write second data sequence (B) = 0.1, 0.7, 0.9

By using the convolution formula:

$$ (a * b) (t) := \int_{-\infty}^{\infty} b(r) a(t - r) \, dr $$

Thus, the result data sequence (C) = 0.05, 0.39, 0.95, 1.48, 1.2, 0.27, 0.0

Example 2:

Put the first data sequence (A) = 0.8, 1, 0.4, 0.3, 0.2, 0.1

Now, put the second data sequence (B) = 0.3, 0.5, 0.4, 0.2, 0.1

With the help of the convolution integral formula:

$$ (a * b) (t) := \int_{-\infty}^{\infty} b(r) a(t - r) \, dr $$

Hence, the result data sequence (C) = 0.24, 0.79, 1.36, 1.42, 1.17, 0.95, 0.67, 0.25, 0.1

How Our Calculator Works?

Our Calculator helps you to compute the convolution feature of given capabilities via following these steps:

Input:

  • First, input given records sequences in both packing containers. don't forget, units are separated with a comma.
  • Hit the calculate button to look the convolution function.

Output:

  • The convolution calculator provides given records sequences and the usage of the convolution method for the result series.
  • Click on the recalculate button if you need to locate greater convolution functions of given datasets.