2008
DOI: 10.1155/2008/134805
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A New Fractal-Based Design of Stacked Integrated Transformers

Abstract: Silicon-based radio-frequency integrated circuits are becoming more and more competitive in wide-band frequency range. An essential component of these ICs is on-chip (integrated) transformer. It is widely used in mobile communications, microwave integrated circuits, low-noise amplifiers, active mixers, and baluns. This paper deals with the design, simulation, and analysis of novel fractal configurations of the primary and secondary coils of the integrated transformers. Integrated stacked transformers, which us… Show more

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Cited by 11 publications
(10 citation statements)
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“…To preserve compactness and satisfy the requirements for good performances, different shapes of the microstrip line have been recently used [28][29][30][31]. Since the space-filling property of a fractal offers high potentials for miniaturization of microwave circuits [28][29][30][31], the application of the fractal curves theoretically allows the design of infinite-length lines on finite substrate area. In that manner compact transmission line with improved phase response can be obtained using fractal curves.…”
Section: Techniques For Increasing the Phase Shiftmentioning
confidence: 99%
“…To preserve compactness and satisfy the requirements for good performances, different shapes of the microstrip line have been recently used [28][29][30][31]. Since the space-filling property of a fractal offers high potentials for miniaturization of microwave circuits [28][29][30][31], the application of the fractal curves theoretically allows the design of infinite-length lines on finite substrate area. In that manner compact transmission line with improved phase response can be obtained using fractal curves.…”
Section: Techniques For Increasing the Phase Shiftmentioning
confidence: 99%
“…For this model, the top and bottom layer of coil are connected in series. The equivalent inductance of the coil can be calculated by considering two equal series inductances (L Bottom =L Top = ) with a coupling coefficient between them [11]. The series resistance of double layer PSC is expressed as follows (4) Thus, the quality factor of the stacked PSC when the parasitic capacitance of the circuit is neglected is expressed as [11], [12].…”
Section: B Double Layer Variable Width Square Coilmentioning
confidence: 99%
“…However in practice, many other works [11], [12] showed that using double layer coils, an improvement of the inductance value is ensured to a certain level, but in contrast, the quality factor may not improve to that extent because of the proximity and eddy losses effects that are not considered in " (5)". To verify this aspect, double layer coil performances' will be evaluated experimentally in the next section.…”
Section: B Double Layer Variable Width Square Coilmentioning
confidence: 99%
“…Equation (9) is the analytical expression for mutual inductance derived from Neumann's integral (8) with parameters defined in Fig. 5 M n = μ r μ 0 4π cos θ n l n m n 1 P n dl n · dm n (8) which can be expanded to M n = μ r μ 0 4π cos θ n l n ln P n + m n + l n P n + l n − m n + m n ln P n + m n + l n P n + l n − m n . Fig.…”
Section: A Neumann Integral: the Classical Approachmentioning
confidence: 99%
“…For this reason, we implemented a simple geometrical strategy through fractalization to increase this parameter. Stojanović et al [8] investigated numerous fractal inductors for transformer, such as the Hilbert and Koch fractal, which proved effective. Fractals also show promise for novel antenna layouts, and they are even used in the metamaterials design space [9], [10].…”
Section: Introductionmentioning
confidence: 99%