This paper extends the theory of the general parameter filter without the complex loss zeros with quadrantal symmetry. That is

the loss and the delay time characteristic of pass-bands are Chebyshev-type approximation and the loss characteristic of stopbands can be specified arbitrarily. Because the nonminimum-phase transfer function can be expressed as the product of minimum-phase transfer function and all-pass function

the loss characteristic of nonminimum-phase and corresponding minimum-phase transfer function is the same and a unique relationship exists between the loss and the phase characteristic of minimum-phase transfer function. A series of new formulas for the loss and the delay time function have been derived

and the Chebyshev-type approximation of the delay time characteristic of pass-band and the initial guess of all available parameters have been obtained. In this respect

this paper presents new ideas and methods. The results of this paper can be used to design varieties of filters including lumped LC filters

active filters

microwave filters

digital filters etc. The results have been made use of in actual applications and have shown great advantages.