I have many information i want to be clear very well .
The defining characteristic of FIR filters optimal in the Chebyshev sense is that they minimize the maximum frequency-response error-magnitude over the frequency axis. In other terms, an optimal Chebyshev FIR filter is optimal in the minimax sense: The filter coefficients are chosen to minimize the worst-case error (maximum weighted error-magnitude ripple) over all frequencies.In another word, minimizing the worst case squared error induces a minimum Chebyshev error problem in some formulations.
In order to achieve an optimal equiripple complex FIR filter in the complex Chebyshev sense ,we can use an evolutionary algorithm.
What is the relation which allowed using the complex Chebyshev sense for optimisation equiripple complex FIR filter? What is effective evolutionary algorithm in this case?