Noise analysis of externally linear filters

In this paper, we summarize a noise analysis method which is valid for any externally linear circuit, and is suitable for both automated and hand calculations assuming white noise input. A second order log-domain filter example illustrates the method.

[1]  Nagendra Krishnapura,et al.  Companding switched capacitor filters , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[2]  Yannis Tsividis,et al.  Syllabically companding log domain filter using dynamic biasing , 1997 .

[3]  Wouter A. Serdijn,et al.  Nonlinear analysis of noise in static and dynamic translinear circuits , 1999 .

[4]  A. C. van der Woerd,et al.  Current-mode companding /spl radic/x-domain integrator , 1996 .

[5]  Yannis Tsividis Minimising power dissipation in analogue signal processors through syllabic companding , 1999 .

[6]  Christian Enz,et al.  Noise in high-order log-domain filters , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[7]  C. Toumazou,et al.  f/sub T/ integrator-a new class of tuneable low-distortion instantaneous companding integrators for very high-frequency applications , 1998 .

[8]  Robert G. Meyer,et al.  A systematic approach to the analysis of noise in mixers , 1993 .

[9]  Christian Enz,et al.  Noise in instantaneous companding filters , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[10]  Stephen Wolfram,et al.  The Mathematica book (3rd ed.) , 1996 .

[11]  M.H.L. Kouwenhoven,et al.  Analysis of noise in translinear filters , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[12]  Jan Mulder,et al.  Static and dynamic translinear circuits , 1998 .

[13]  Tetsuro Itakura,et al.  Numerical noise analysis for nonlinear circuits with a periodic large signal excitation including cyclostationary noise sources , 1993 .

[14]  Y. Tsividis,et al.  Noise in Gm-C filters , 1998 .

[15]  A. Ziel Noise in solid state devices and circuits , 1986 .

[16]  Antonio J. López-Martín,et al.  A systematic approach to the synthesis of square-root domain systems , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[17]  S. Pookaiyaudom,et al.  State-space synthesis of oscillators based on the MOSFET square law , 1996 .

[18]  Alberto L. Sangiovanni-Vincentelli,et al.  Time-domain non-Monte Carlo noise simulation for nonlinear dynamic circuits with arbitrary excitations , 1996 .

[19]  Alberto L. Sangiovanni-Vincentelli,et al.  Time-domain non-Monte Carlo noise simulation for nonlinear dynamic circuits with arbitrary excitations , 1994, ICCAD '94.

[20]  Sidney C. Port,et al.  Probability, Random Variables, and Stochastic Processes—Second Edition (Athanasios Papoulis) , 1986 .

[21]  Nagendra Krishnapura,et al.  On the analysis of noise and interference in instantaneously companding signal processors , 1998 .

[22]  Yannis Tsividis,et al.  Current-mode filters using syllabic companding , 1996, 1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96.

[23]  G. Efthivoulidis,et al.  General results for resistive noise in active RC and MOSFET-C filters , 1995 .

[24]  M.H.L. Kouwenhoven,et al.  Noise analysis of dynamically nonlinear translinear circuits , 1998 .

[25]  Yannis Tsividis,et al.  Externally linear, time-invariant systems and their application to companding signal processors , 1997 .

[26]  Thomas Kailath,et al.  Linear Systems , 1980 .

[27]  E. Seevinck,et al.  Companding current-mode integrator: A new circuit principle for continuous-time monolithic filters , 1990 .

[28]  Wouter A. Serdijn,et al.  Analysis of noise in higher-order translinear filters , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).

[29]  E. M. Blumenkrantz The analog floating point technique , 1995, 1995 IEEE Symposium on Low Power Electronics. Digest of Technical Papers.

[30]  D. Frey Exponential state space filters: a generic current mode-design strategy , 1996 .

[31]  A. Kimura,et al.  CMOS FET companding current-mode integrator , 1998, IEEE. APCCAS 1998. 1998 IEEE Asia-Pacific Conference on Circuits and Systems. Microelectronics and Integrating Systems. Proceedings (Cat. No.98EX242).

[32]  Robert W. Adams,et al.  Filtering in the Log Domain , 1979 .

[33]  G. Efthivoulidis,et al.  Signal analysis of externally linear filters , 1999, ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349).