# Can you explain remez exchange algorithm?

1. What is the diffeence between w and w cap?

2. What is the meaning of extremals?

3. What does it means to reject p-r superfluous potential...

• hm, that involves solving systems of equations with many unknowns, which is why it's a numerical algorithm and not something you do by hand. What kind of example do you hope for, and how would it differ from the text that you just posted? Commented Aug 3, 2021 at 15:17
• Ah sorry, I don't need an example. I edited the post. I just need the explanation of few questions I had above. My teacher has also told me to memorize this algorithm and write in exam. Commented Aug 3, 2021 at 15:20
• OK; so re: 2. "extremals" are.. extremals, there's a wikipedia article of "Extremal". Re: 3. Probably defined just half a page before. Re 1.: well, $\omega$ is a variable, and $\overset\frown\omega$ are specific values for $\omega$ as defined in the text you pasted. Commented Aug 3, 2021 at 15:22

1. $$\hat{\omega}_k$$ are specific frequencies and $$\omega$$ is a variable.
3. For an optimal filter, you only need $$r+1$$ extremals. The algorithm you state will give more. It's saying to ignore the ones you don't need to find the answer.