Matlab expressions for two types of odd polynomials

[dan_smith]

Homework Statement

i am trying to find the expressions for the "equiripple" and "maximal flat" polynomials
for the equiripple :[/B]

for maximal flat:

Homework Equations

The Attempt at a Solution

i know that for maximal flat its butterworth polinomials, but for P_3 i don't get the same coeeficient as shown in the polynomial above.

regardung the "equi rippe" i know that its chebyshev polynomials which is chebpoly comand in matlab

i need help getiting the right expression for the "maximal flat" because its not a butterworth expression

and regarding chebyshev i can't get the same plots for P5 P7 etc..

Thanks

 

[KataKoniK]

for your post!

For the equiripple polynomial, the expression can be found using the Remez algorithm. This algorithm finds the polynomial that minimizes the maximum deviation from the desired response. The resulting polynomial will have equiripple behavior.

For the maximal flat polynomial, there are a few different types, including Butterworth, Chebyshev, and Elliptic polynomials. The type of polynomial used will depend on the desired frequency response and the order of the polynomial. For example, a Butterworth polynomial will have a maximally flat response in the passband, while a Chebyshev polynomial will have a maximally flat response in the stopband. The coefficients for these polynomials can be found using various methods, such as the bilinear transformation or the inverse Chebyshev transform.

I suggest doing some more research on the specific type of maximal flat polynomial you are looking for and the desired frequency response. This will help you determine the appropriate coefficients and expression for your specific case. Additionally, there are many online resources and software programs that can help with the calculation and plotting of these polynomials.