Abstract
An important class of VLSI computational structures is represented by the square-root circuits. Usually implemented using a translinear loop, they exploit the squaring characteristic of MOS transistors biased in saturation region. The square-root circuits find a lot of applications in analog signal processing, such as square-root domain filters, Euclidean distance circuits, vector summation structures or real time image processing circuits. The presented design techniques are based on five different elementary mathematical principles, each of them being illustrated by concrete implementations in CMOS technology of their functional relations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Psychalinos C, Vlassis S (2002) A systematic design procedure for square-root-domain circuits based on the signal flow graph approach. IEEE Transactions on Circuits and Systems I. Fundam Theory Appl 49:1702–1712
Manolescu AM, Popa C (2009) Low-voltage low-power improved linearity CMOS active resistor circuits. Springer J Analog Integr Circuits Signal Process 62:373–387
Popa C (2008) Optimal superior-order curvature-corrected voltage reference based on the weight difference of gate-source voltages. Springer J Analog Integr Circuits Signal Process 1:1–6
De La Blas CA, Lopez A (2008) A novel two quadrant MOS translinear squarer-divider cell. In: IEEE International conference on electronics, circuits and systems, St. Julien’s, pp 5–8, Malta
De La Cruz-Blas CA, Lopez-Martin A, Carlosena A (2003) 1.5-V MOS translinear loops with improved dynamic range and their applications to current-mode signal processing. actions on and. IEEE Trans Circuits Syst II: Analog Digit Signal Process 50:918–927
Jong-Kug S, Charlot JJ (1999) Design and applications of precise analog computational circuits. In: Midwest symposium on circuits and systems 275–278, Michigan, USA
Kircay A, Keserlioglu MS, Cam U (2009) A new current-mode square-root-domain notch filter. In: European conference on circuit theory and design, Antalya, pp 229–232, Turkey
Ngamkham W, Kiatwarin N et al (2008) A linearized source-couple pair transconductor using a low-voltage square root circuit. In: International conference on electrical engineering/electronics, computer, telecommunications and information technology, Krabi, pp 701–704
Popa C (2005) A new current-mode CMOS Euclidean distance circuit with improved accuracy and frequency response. In: IEEE conference on microelectronics, electronics and electronic technologies, pp 99–102, Opatija, Croatia
Popa C (2010) Superior-order curvature-corrected voltage reference using a current generator. In: Lecture notes in computer science, Springer, pp 12–21
Popa C (2010) Low-power low-voltage superior-order curvature corrected voltage reference. Inter J Electron 97:613–622
Popa C (2009) High accuracy CMOS multifunctional structure for analog signal processing. In: International semiconductor conference, Sinaia, pp 427–430, Romania
Popa C (2005) A new improved linearity active resistor using complementary functions. In: International semiconductor conference, pp 391–394
Popa C (2006) Digitally-selected optimal curvature-corrected voltage reference using FGMOS devices. In: IEEE conference on microelectronics, electronics and electronic technologies, pp 90–93, Opatija, Croatia
Popa C (2002) Autoprogrammable superior-order curvature-correction CMOS thermal system. In: International semiconductor conference, pp 369–372, Sinaia, Romania
Popa C (2005) Power-efficient superior-order curvature corrected voltage reference using CMOS computational circuits. In: International symposium on signals, circuits and systems, pp 23–26, Iasi, Romania
Kircay A, Keserlioglu MS (2009) Novel current-mode second-order square-root-domain highpass and allpass filter. In: International conference on electrical and electronics engineering, pp II-242–II-246, Bursa, Turkey
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Popa, C.R. (2012). Square-Root Circuits. In: Synthesis of Computational Structures for Analog Signal Processing. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0403-3_4
Download citation
DOI: https://doi.org/10.1007/978-1-4614-0403-3_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-0402-6
Online ISBN: 978-1-4614-0403-3
eBook Packages: EngineeringEngineering (R0)