Classic Linear Methods Provisos Verification for Oscillator Design Using NDF and Its Use as Oscillators Design Tool

Angel Parra-Cerrada, Vicente González-Posadas, José Luis Jiménez-Martín, Alvaro Blanco

Department Ingeniería Audiovisual y Comunicaciones, Universidad Politécnica de Madrid, Madrid, Spain.

DOI: 10.4236/cs.2013.41014                

Abstract

The purpose of this paper is to show the conditions that must be verified before use any of the classic linear analysis methods for oscillator design. If the required conditions are not verified, the classic methods can provide wrong solutions, and even when the conditions are verified each classic method can provide a different solution. It is necessary to use the Normalized Determinant Function (NDF) in order to perform the verification of the required conditions of the classic methods. The direct use of the NDF as a direct and stand-alone tool for linear oscillator design is proposed. The NDF method has the main advantages of not require any additional condition, be suitable for any topology and provide a unique solution for a circuit with independence of the representation and virtual ground position. The Transpose Return Relations (RR_T) can be used to calculate the NDF of any circuit and this is the approach used to calculate the NDF on this paper. Several classic topologies of microwave oscillators are used to illustrate the problems that the classic methods present when their required conditions are not verified. Finally, these oscillators are used to illustrate the use and advantages of the NDF method.

Keywords

Oscillator; Provisos; NDF; RR; RR_T

Conflicts of Interest

The authors declare no conflicts of interest.

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