# 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? Aug 3 '21 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. Aug 3 '21 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. Aug 3 '21 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.