A DC stabilized log‐domain nth‐order multifunction filter based on the decomposition of nth‐order HP filter function to FLF topology

Abstract

SUMMARYThe design of high-order log-domain filters can be easily accomplished by transposing already known linear-domain G m -C filter topologies to their counterparts in the log-domain through the employment of a set of complementary operators. To achieve the G m -C filter topologies, the multiple feedback approach is widely used due to its accrued advantages. In this paper a synthesis approach for the development of an nth-order multifunction log-domain filter comprising lowpass (LP), highpass (HP) and bandpass (BP) filter functions is proposed. The approach is based on the decomposition of nth-order HP filter function to follow-the-leader-feedback (FLF) topology. The design is simple and simultaneously achieves nearly all of the chief advantages. The design offers superior performance factors vis-à-vis the ones recently reported. To verify the high-order behavior of the topology, a 5th-order multifunction filter was designed and the achieved simulated results verify the theory.

Sinh-Domain linear transformation filters

“…The resulting compressed output voltage is then expanded and simultaneously converted into a linear current. 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).…”

Log-domain SIMO and MISO low-voltage universal biquads

“…Log-domain biquad topologies that realize a single filter function, denoted as single input single output (SISO) biquads, have been already reported in [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. The biquads in [18][19][20][21][22][23][24] are single input multiple output (SIMO) topologies, but only the topologies in [23,24] could be considered as universal due to the fact that they simultaneously offer the five standard filter functions. The employment of differentiators for realizing the topology in [23], limits its performance in terms of maximum frequency of operation, noise, and linearity.…”

A simulation study of high‐order CMOS hyperbolic‐sine filters

“…The design of integrated, low power, high dynamic range (DR) filters that can be electronically tuned has been the focus of considerable research attention . The introduction of the log domain paradigm and exponential state‐space filters in general , the migration of the companding principle from communication systems to dynamical signal processing systems , and the systematic exploitation of the class‐AB principle of operation mark important achievements that have enabled the design of fully integrated filters with a DR exceeding 100 dB, both experimentally and in simulation (e.g., ).…”