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This, along with good equivalent-circuit models for these elements, allows usage of many lumped elements in RFICs. 28 LUMPED ELEMENTS As compared to distributed elements, lumped elements have a smaller size (leading to lower cost for RFICs), wider bandwidth, smaller coupling between adjacent elements, and smaller amplitude and phase changes. The smaller coupling and amplitude and phase changes are due to the smaller size relative to wavelength of lumped elements. All these advantages allow traditional low frequency lumped-element analog circuits to be realized at RF frequencies.

Therefore, it is always desirable to fit (optimize) all parameters across the interested frequency range to obtain a single set of element values working at all frequencies, instead of fitting to get different set of values for different frequencies. This, of course, is more difficult and may never converge. Yet, it should always be the first goal of RFIC designers to achieve. If that is not doable, one may need to alter the model itself or break the frequency range into several smaller ranges to fit.

5 shows the schematic of an inductor. 1) where L denotes the inductance. Let us consider a conductor along which a current flows. 6. 2) where d????∕dt is known as the time rate of change of flux linkages. 5) which may be positive or negative. It is possible, at any given time, that an inductor receives energy from or supply energy to the circuit, to which it is connected, which corresponds to positive or negative p(t), respectively. 7. Two coupled coils and their flux linkages. which may also be positive or negative depending on L.

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Beyond[QOS 3] by Rapp D


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