2
$\begingroup$

What I don't understand about this 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...

enter image description here

$\endgroup$
3
  • $\begingroup$ 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? $\endgroup$ Aug 3 '21 at 15:17
  • $\begingroup$ 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. $\endgroup$
    – broman
    Aug 3 '21 at 15:20
  • $\begingroup$ 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. $\endgroup$ Aug 3 '21 at 15:22
2
$\begingroup$

Not sure if this helps or not: it's another explanation of the Remez algorithm specifically for the Parks-McClellan algorithm.

Answers to your explicit questions:

  1. $\hat{\omega}_k$ are specific frequencies and $\omega$ is a variable.

  2. The extremals are the peaks of the error function (called norm-points below).

  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.

Kootsookos's explanation

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.