After performing integration on negative value the response is not decaying. Could you provide why it is happening?

Answer 1

[Yash]

Hi Komal,

The function may not decay for negative values because integration is an accumulation process. When integrating a negative value, the accumulated sum will continue to decrease, but it will not reach zero unless the negative values are rectified or the integration process is stopped after a certain condition is met. To ensure decay for negative values, you can apply a rectifying function to the input signal before integration.

Some commonly used rectifying functions in MATLAB include:

1. abs(x): This function returns the absolute value of each element in the input signal x. It effectively removes the sign of the values, making them all positive. Read more about it here: https://in.mathworks.com/help/matlab/ref/abs.html
2. max(x, 0): This function compares each element in the input signal x with zero and returns the maximum value between the two. It effectively sets all negative values to zero, while keeping the positive values unchanged. Read more about it here: https://in.mathworks.com/help/matlab/ref/max.html
3. rectify(x): This is a custom rectifying function that you can define based on your specific requirements. It allows you to implement a rectification process tailored to your needs.

By using these rectifying functions, you can ensure that the integration process only accumulates positive values, resulting in a decaying response for a negative value function.

Hope this helps