By Jaime Aguilera
Meant for engineers who're beginning out within the layout of built-in inductors, this ebook describes the full layout move, uncomplicated choice of the geometry and optimisation of the standard through remodeling the geometry, dimension and de-embedding and characterisation.
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Extra info for Design and Test of Integrated Inductors for RF Applications
Such a substitution will not be valid in general; only at frequencies near the resonance the equivalence will be reasonable. 4. 5. 4 it is easy to see that the impedance of the tank at the frequency of resonance is determined by the series resistance of the inductor and its quality factor Q. To obtain a high impedance value at the resonance it is necessary to dispose of a high quality inductor or what is the same an inductor with very low series resistance Design and test of integrated inductors for RF applications 11 Let us analyse in the following section which are the implications of this statement in the design of low noise amplifiers and voltage controlled oscillators.
These effects can be classified in two types, magnetically induced and electrically induced. 1 One of the fundamental properties of an inductor is that generates a magnetic field. This alternating field penetrates into the conductive substrate and induces a voltage difference, which in turn generates a current. This phenomenon diminishes the energy in the coil, decreasing at the same time the quality of the inductor. Figure 2-15 schematically shows this effect for a cross section cut of an inductor integrated on Silicon technology.
The geometric average of the distance between these two areas is computed in the following way: Where n and m denote the number of differential elements within areas A' and A, respectively. Dij' is the distance from element i in area A, to element j in area A'. For the case of two conductors with rectangular shape, the GMD is defined as [Moha99] Where w and d are the width and distance, center to center, between the conductors in cm, respectively. Figure 2-11 and Figure 2-12 show the mutual inductance between two rectangular conductors of length as a function of the distance center to center and separation, respectively.
Design and Test of Integrated Inductors for RF Applications by Jaime Aguilera