Publication

Double broadband matching of a lowpass generator and a lowpass load by equal minima gain functions

Catherine Dehollain
1994
Conference Papers

Abstract

By using the polynomial formalism, the gain-bandwidth restrictions will be established in the case of the double broadband matching of an RL generator impedance and an RLC load. By using an automatic procedure based on the Gauss-Newton algorithm, the optimal equal minima gain function will be determined and compared to the Chebyshev and real frequency solutions. It will be shown how the equal minima method can be extended.

Official source

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Catherine Dehollain
1994
Conference Papers

Abstract

Official source

Related concepts (23)

Low-pass filter

A low-pass filter is a filter that passes signals with a frequency lower than a selected cutoff frequency and attenuates signals with frequencies higher than the cutoff frequency. The exact frequency response of the filter depends on the filter design. The filter is sometimes called a high-cut filter, or treble-cut filter in audio applications. A low-pass filter is the complement of a high-pass filter. In optics, high-pass and low-pass may have different meanings, depending on whether referring to the frequency or wavelength of light, since these variables are inversely related.

Maximum and minimum

In mathematical analysis, the maximum and minimum of a function are, respectively, the largest and smallest value taken by the function. Known generically as extremum, they may be defined either within a given range (the local or relative extrema) or on the entire domain (the global or absolute extrema) of a function. Pierre de Fermat was one of the first mathematicians to propose a general technique, adequality, for finding the maxima and minima of functions.

RLC circuit

An RLC circuit is an electrical circuit consisting of a resistor (R), an inductor (L), and a capacitor (C), connected in series or in parallel. The name of the circuit is derived from the letters that are used to denote the constituent components of this circuit, where the sequence of the components may vary from RLC. The circuit forms a harmonic oscillator for current, and resonates in a manner similar to an LC circuit. Introducing the resistor increases the decay of these oscillations, which is also known as damping.