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In some applications, filters are designed on amplitude basis alone. For example, in the audio frequency range, it is claimed that the human ear is insensitive to phase distortion, and the optimum solution to the filter design problem is usually taken to be the elliptic filter, giving the lowest degree filter for a given set of specifications on the amplitude response. Other applications place more importance on the phase response while tolerating a moderate amount of amplitude distortion. In this case, certain phase-oriented approximations are acceptable. However, in modern high-capacity communication systems, filters are required to meet stringent specifications on both the amplitude and phase characteristics simultaneously.
General Considerations
Analytic Ladder Design
Optimal Low-pass Ladder Design
Optimal Band-pass Ladder Design
Generalized Approximation