Designs a linear phase FIR lowpass filter such that it:

- minimizes maximum stopband attenuation

- has a constraint on the maximum passband ripple



This is a convex problem (when sampled it can be represented as an LP).



minimize max |H(w)| for w in the stopband

s.t. 1/delta <= |H(w)| <= delta for w in the passband

-　where H is the frequency response function and variable is

　h (the filter impulse response). delta is allowed passband ripple.