Distortion analysis of high-frequency log-domain filters using volterra series

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 50, Issue 1, 2003, Pages 1-11

  Baki, Rola A ^a,b   Beainy, Charif ^a,b   El Gamal, Mourad N ^a,b  

^a IEEE   (Canada)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Active filters; Bipolar transistor nonindealities; Companding; Harmonic distortion; High frequency analysis; Log domain; Mathematical computations; Volterra series

Indexed keywords

VOLTERRA SERIES;

BIPOLAR TRANSISTORS; CAPACITORS; COMPUTER SIMULATION; ELECTRIC RESISTANCE; HARMONIC DISTORTION;

ACTIVE FILTERS;

EID: 0037228430     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSII.2003.808903     Document Type: Article

References (61)

1. R. W. Adams, "Filtering in the log domain," presented at the 63rd AES Audio Engineering Soc. Conf., New York, May 1979.
2. Y. Tsividis, V. Gopinathan, and L. Toth, "Companding in signal processing," Electro. Lett., vol. 26, pp. 1331-1332, Aug. 1990.
3. E. Seevinck, "Companding current-mode integrator: A new circuit principle for continuous-time monolithic filters," Electron. Lett., vol. 26, pp. 2046-2047, Nov. 1990.
4. D. R. Frey, "Log-domain filtering: An approach to current-mode filtering," Proc. Inst. Elect. Eng., vol. 140, pp. 406-416, Dec. 1993.
5. D. Perry and G. W. Roberts, "Log-domain filters based on LC ladder synthesis," in Proc. IEEE ISCAS, May 1995, pp. 311-314.
6. Y. Tsividis, "Minimizing power dissipation in analogue signal processors through syllabic companding," Electron. Lett., vol. 35, pp. 1805-1807, Oct. 1999.
7. J. Ngarmnil and C. Toumazou, "A fully tunable micropower log-domain filter," Proc. IEE Colloq. Low Power Analog and Digital VLSI, pp. 9.1-9.4, 1995.
8. W. Germanovix and C. Toumazou, "Design of a micropower current-mode log-domain analog cochlear implant," IEEE Trans. Circuits Syst. II, vol. 47, pp. 373-387, Oct. 2000.
9. M. Punzenberger and C. C. Enz, "A 1.2V BiCMOS class AB log-domain filter," in Proc. ISSCC Dig. Tech. Papers, Feb. 1997, pp. 56-57.
10. C. C. Enz, M. Punzenberger, and D. Python, "Low-voltage log-domain signal processing in CMOS and BICMOS," IEEE Trans. Circuits Syst. II, vol. 46, pp. 279-289, Mar. 1999.
11. D. Python and C. C. Enz, "A micropower class AB CMOS log-domain filter for DECT applications," IEEE J. Solid-State Circuits, vol. 36, pp. 1067-1075, July 2001.
12. M. N. El-Gamal and G. W. Roberts, "A 1.2 V NPN-only log-domain integrator," in Proc. IEEE ISCAS, vol. 2, May 1999, pp. 681-684.
13. W. A. Serdijn, M. Broest, J. Mulder, A. C. van Der Woerd, and A. H. M. van Roermund, "A low-voltage ultra-low-power translinear integrator for audio filter applications," IEEE J. Solid-State Circuits, vol. 32, pp. 577-581, Apr. 1997.
14. L. P. L. van Dijk, A. C. van der Woerd, J. Mulder, and A. H. M. van Roermund, "An ultra-low-power, low-voltage electronic audio delay line for use in hearing aids," IEEE J. Solid-State Circuits, vol. 33, pp. 291-294, Feb. 1998.
15. N. Krishnapura and Y. Tsividis, "Dynamically biased 1 MHz low-pass filter with 61 dB peak SNR and 112 dB input range," in Proc. ISSCC Dig. Tech. Papers, Feb. 2001, pp. 360-361.
16. _, "A micropower log-domain filter using enhanced lateral PNP's in a 0.25 μm CMOS process," in Proc. Symp. VLSI Circuits, Dig. Tech. Papers, June 2001, pp. 179-181.
17. M. N. El-Gamal, R. A. Baki, and A. Bar-Dor, "30-100 MHz NPN-only variable-gain class AB companding-based filters for 1.2 V applications," in Proc. ISSCC Dig. Tech. Papers, Feb. 2000, pp. 150-151.
18. R. A. Baki and M. N. El-Gamal, "A low-power, 5-70 MHz, 7th-order filter with programmable boost, group delay, and gain using instantaneous companding," in Proc. IEEE ISLPED, Aug. 2001, pp. 299-305.
19. D. R. Frey, "Log domain filtering for RF applications," IEEE J. Solid-State Circuits, vol. 33, pp. 548-555, Apr. 1998.
20. M. N. El-Gamal and G. W. Roberts, "Very high-frequency log-domain bandpass filters," IEEE Trans. Circuits Syst. II, vol. 45, pp. 1188-1198, Sept. 1998.
21. A. Payne, A. Thanachayanont, and C. Papavassilliou, "A 150-MHz translinear phase-locked loop," IEEE Trans. Circuits Syst. II, vol. 45, pp. 1220-1231, Sept. 1998.
22. M. N. El-Gamal, R. A. Baki, and A. Bar-Dor, "30-100 MHz NPN-only variable-gain class AB instantaneous companding filters for 1.2 V applications," J. Solid-State Circuits, vol. 35, pp. 1853-1864, Dec. 2000.
23. Y. Tsividis, "On linear integrators and differentiators using instantaneous companding," IEEE Trans. Circuits Syst. II, vol. 42, pp. 561-564, Aug. 1995.
24. _, "General approach to signal processors employing companding," Electron. Lett., vol. 31, pp. 1549-1550, Aug. 1995.
25. E. M. Drakakis, A. Payne, and C. Toumazou, "Log-domain state-space: A systematic transistor-level approach for log-domain filtering," IEEE Trans. Circuits Syst. II, vol. 46, pp. 290-305, Mar. 1999.
26. D. R. Frey, "State-space synthesis and analysis of log-domain filters," IEEE Trans. Circuits Syst. II, vol. 45, pp. 1205-1211, Sept. 1998.
27. E. M. Drakakis, A. Payne, and C. Toumazou, "Log-domain filtering and the Bernoulli cell," IEEE Trans. Circuits Syst. II, vol. 46, pp. 559-571, May 1999.
28. J. Mulder, W. A. Serdijn, A. C. van der Woerd, and A. H. M. van Roermund, "A syllabic companding translinear filter," in Proc. IEEE ISCAS, vol. 1, May 1997, pp. 101-104.
29. _, "Design of current-mode companding √-domain dynamic circuits," Proc. IEE Colloq. Analog Signal Processing, pp. 8.1-8.5, 1996
30. M. N. El-Gamal and G. W. Roberts, "LC ladder-based synthesis of log-domain bandpass filters," in Proc. IEEE ISCAS, vol. 1, May 1997, pp. 105-108.
31. R. M. Fox, M. Nagarajan, and J. Harris, "Practical design of single-ended log-domain filter circuits," in Proc. IEEE ISCAS, vol. 1, May 1997, pp. 341-344.
32. m-C filter synthesis," IEEE Trans. Circuits Syst. II, vol. 46, pp. 1421-1430, Dec. 1999.
33. D. R. Frey and Y. Tsividis, "Syllabically companding log domain filter using dynamic biasing," Electron. Lett., vol. 33, pp. 1506-1507, Aug. 1997.
34. E. Ferrer and R. M. Fox, "Limit-cycle oscillations in a log-domain-based filter," IEEE Trans. Circuits Syst. II, vol. 46, pp. 832-836, June 1999.
35. R. T. Edwards and G. Cauwenberghs, "A second-order log-domain bandpass filter for audio frequency applications," in Proc. IEEE ISCAS, vol. 3, May 1998, pp. 651-654.
36. R. M. Fox, "Design-oriented analysis of log-domain circuits," IEEE Trans. Circuits Syst. II, vol. 45, pp. 918-921, July 1998.
37. J. Mulder, W. A. Serdijn, A. C. van der Woerd, and A. H. M. van Roermund, "An instantaneous and syllabic companding translinear filter," IEEE Trans. Circuits Syst. II, vol. 45, pp. 150-154, Feb. 1998.
38. E. M. Drakakis and A. Payne, "Structured log-domain synthesis of nonlinear systems," in Proc. IEEE ISCAS, vol. 2, May 1999, pp. 693-696.
39. R. M. Fox and M. Nagarajan, "Multiple operating points in a CMOS log-domain filter," IEEE Trans. Circuits Syst. II, vol. 46, pp. 705-710, June 1999.
40. B. A. Minch, "Multiple-input translinear element log-domain filters," IEEE Trans. Circuits Syst. II, vol. 48, pp. 29-36, Jan. 2001.
41. G. Efthivoulidis and Y. Tsividis, "Signal analysis of externally linear filters," in Proc. IEEE ISCAS, vol. 6, May 1999, pp. 65-68.
42. D. R. Frey, "C-log domain filters," in Proc. IEEE ISCAS, vol. 1, May 2000, pp. 176-179.
43. E. M. Drakakis and A. Payne, "On the exact realization of LC ladder finite transmission zeros in log-domain: a theoretical study," in Proc. IEEE ISCAS, vol. 1, May 2000, pp. 188-191.
44. D. R. Frey, "Future implications of the log domain paradigm," Proc. Circuits, Devices, Syst., vol. 147, pp. 65-72, Feb. 2000.
45. N. Krishnapura, Y. Tsividis, and D. R. Frey, "Simplified technique for syllabic companding in log-domain filters," Electron. Lett., vol. 36, pp. 1257-1259, July 2000.
46. A. E. J. Ng, J. I. Sewell, E. M. Drakakis, A. Payne, and C. Toumazou, "A unified matrix method for systematic synthesis of log-domain ladder filters," in Proc. IEEE ISCAS, vol. 1, May 2001, pp. 149-152.
47. J. Georgiou and C. Toumazou, "An operating point elimination technique for weak-inversion log-domain filters with multiple operating points," in Proc. IEEE ISCAS, vol. 1, May 2001, pp. 153-155.
48. D. R. Frey, Y. Tsividis, G. Efthivoulidis, and N. Krishnapura, "Syllabic-companding log-domain filters," IEEE Trans. Circuits Syst. II, vol. 48, pp. 329-339, Apr. 2001.
49. L. Toth, G. Palaskas, and Y. Tsividis, "Noninvasive techniques for syllabic companding in signal processors," in Proc. IEEE ISCAS, vol. 1, May 2001, pp. 683-689.
50. M. Punzenberger and C. C. Enz, "Noise in high-order log-domain filters," in Proc. IEEE ISCAS, vol. 1, May 1998, pp. 329-332.
51. L. Toth, Y. Tsividis, and N. Krishnapura, "Analysis of noise and interference in companding signal processors," in Proc. IEEE ISCAS, vol. 1, May 1998, pp. 143-146.
52. M. Punzenberger and C. C. Enz, "Noise in instantaneous companding filters," in Proc. IEEE ISCAS, vol. 1, May 1997, pp. 337-340.
53. J. Mulder, M. H. L. Kouwenhoven, W. A. Serdijn, A. C. van der Woerd, and A. H. M. van Roermund, "Nonlinear analysis of noise in static and dynamic translinear circuits," IEEE Trans. Circuits Syst. II, vol. 46, pp. 266-278, Mar. 1999.
54. V. W. Leung, M. N. El-Gamal, and G. W. Roberts, "Effects of transistor nonidealities on log-domain filters," in Proc. IEEE ISCAS, vol. 1, May 1997, pp. 109-112.
55. V. W. Leung and G. W. Roberts, "Effects of transistor nonidealities on high-order log-domain ladder filter frequency responses," IEEE Trans. Circuits Syst. II, vol. 47, pp. 373-387, May 2000.
56. D. Frey, "Distortion compensation in log-domain filters using state-space techniques," IEEE Trans. Circuits Syst. II, vol. 46, pp. 860-869, July 1999.
57. E. M. Drakakis and A. J. Payne, "Approximate process-parameter dependent symbolic calculation of harmonic distortion in log-domain: The lossy integrator case-study," in Proc. IEEE ISCAS, vol. 1, May 2000, pp. 609-612.
58. C. Beainy, R. A. Baki, and M. N. El-Gamal, "Distortion analysis of high-frequency log-domain filters using volterra series," in Proc. IEEE ISCAS, vol. 1, May 2001, pp. 472-475.
59. P. Wambacq, G. E. Gielen, and P. R. Kinget, "High-frequency distortion analysis of analog integrated circuits," IEEE Trans. Circuits Syst. II, vol. 46, pp. 335-345, Mar. 1999.
60. K. L. Fong and G. R. Meyer, "High-frequency nonlinearity analysis of common-emitter and differential-pair transconductance stages," IEEE J. Solid-State Circuits, vol. 33, pp. 548-555, Apr. 1998.
61. M. N. El-Gamal and G. W. Roberts, "A 1.2-V n-p-n-only integrator for log-domain filtering," IEEE Trans. Circuits Syst. II, vol. 49, pp. 257-265, Apr. 2002.