2007
DOI: 10.1007/s00034-006-0308-y
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Square-Root Domain Operational Simulation of LC Ladder Elliptic Filters

Abstract: A technique for designing square-root domain elliptic filters that simulate the operation of the corresponding LC ladder prototypes is introduced in this paper. This is achieved by manipulating the equations that describe the operation of differentiation in such a way that only lossless integrator and weighted summation blocks are needed. The derived signal flow graph (SFG) is transposed to the corresponding one in the squareroot domain using an appropriate set of operators in order to preserve the linear oper… Show more

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Cited by 4 publications
(2 citation statements)
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“…The compression of the input current can be performed by the following ways: (a) through the logarithmic V-I relationship of bipolar transistor in active region or MOS transistor in weak inversion -the derived filters are known in the literature as log-domain filters Frey, 1993;Kontogiannopoulos & Psychalinos, 2005;Mahattanakul & Toumazou, 1999;Perry & Roberts, 1996;Psychalinos, 2006;Shah & Khanday, 2009a, 2009b;. (b) through the square-root V-I relationship of MOS transistor in strong inversion -the derived filters are known as square-root domain filters (Lopez-Martin & Carlosena, 2001;Psychalinos, 2007aPsychalinos, , 2007bPsychalinos, 2008a;Psychalinos & Vlassis, 2002a;Stoumpou, Khanday, Psychalinos, & Shah, 2009) and (c) through the inverse of the hyperbolic sine function realised by translinear loops formed by bipolar transistors in active region or MOS transistors in weak inversion -the derived filters are known as Sinh-Domain filters (Frey, 1999;Frey & Tola, 1999;Haddad & Serdijn, 2006;Kasimis & Psychalinos, 2012a, 2012bKatsiamis & Drakakis, 2005;Katsiamis, Glaros, & Drakakis, 2008;Lopez-Martin & Carlosena, 1999a, 1999bPoort, Serdijn, Mulder, & van der Woerd, 1999;Serdijn, Kouwenhoven, Mulder, & van Roermund, 1999). This type of companding filters offers an inherent class-AB operation, while in the cases of square-root domain and log-domain filters a class-AB pseudo-operation is achieved by utilising an input current splitter, two identical class-A signal paths and subtracting the intermediate output currents.…”
Section: Introductionmentioning
confidence: 99%
“…The compression of the input current can be performed by the following ways: (a) through the logarithmic V-I relationship of bipolar transistor in active region or MOS transistor in weak inversion -the derived filters are known in the literature as log-domain filters Frey, 1993;Kontogiannopoulos & Psychalinos, 2005;Mahattanakul & Toumazou, 1999;Perry & Roberts, 1996;Psychalinos, 2006;Shah & Khanday, 2009a, 2009b;. (b) through the square-root V-I relationship of MOS transistor in strong inversion -the derived filters are known as square-root domain filters (Lopez-Martin & Carlosena, 2001;Psychalinos, 2007aPsychalinos, , 2007bPsychalinos, 2008a;Psychalinos & Vlassis, 2002a;Stoumpou, Khanday, Psychalinos, & Shah, 2009) and (c) through the inverse of the hyperbolic sine function realised by translinear loops formed by bipolar transistors in active region or MOS transistors in weak inversion -the derived filters are known as Sinh-Domain filters (Frey, 1999;Frey & Tola, 1999;Haddad & Serdijn, 2006;Kasimis & Psychalinos, 2012a, 2012bKatsiamis & Drakakis, 2005;Katsiamis, Glaros, & Drakakis, 2008;Lopez-Martin & Carlosena, 1999a, 1999bPoort, Serdijn, Mulder, & van der Woerd, 1999;Serdijn, Kouwenhoven, Mulder, & van Roermund, 1999). This type of companding filters offers an inherent class-AB operation, while in the cases of square-root domain and log-domain filters a class-AB pseudo-operation is achieved by utilising an input current splitter, two identical class-A signal paths and subtracting the intermediate output currents.…”
Section: Introductionmentioning
confidence: 99%
“…Later, in order to avoid the limited bandwidth and poor matching of MOS transistors in weak inversion, the quadratic law of MOS transistors in strong inversion and saturation was employed in square root-domain (SRD) companding filters [7]- [8]. The synthesis of these filters is the subject of ongoing research [9][10][11][12], but there is still a lack of understanding of particular effects of the nonlinearities.…”
Section: Introductionmentioning
confidence: 99%