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Networks are frequently designed on the basis of minimizing a meas- ure of error to a given specification. The physical limitations of prac- tical circuit elements can often be introduced into such problems by means of constraints placed on the form of the solution. The paper presents_anew way of introducing such constraints and reviews some examples in which constraints have been successfully employed. The constraints discussed may be divided into two groups; namely, those depending on some isolated feature of the frequency character- istic of the solution, such as the dc gain or the parasitic-capacitance high-frequency asymptote, and those depending on the complete frequency characteristic, such as the power-handling capacity of an output stage. It is suggested that the introduction of constraints may require a change in the basis of error assessment. In this con- nection an example is given based on a time-weighted criterion. A review of the statistical method of analysis of signals is included, with a critical discussion of the definition of the spectral density function, which forms the basis of the statistical methods of circuit design.
Circuit Theory, Transactions of the IRE Professional Group on (Volume:CT-1 , Issue: 3 )
Date of Publication: September 1954