메뉴 건너뛰기




Volumn 53, Issue 11, 2006, Pages 1225-1229

The Analytic Determination of the PPV for Second-Order Oscillators Via Time-Varying Eigenvalues

Author keywords

Linear time varying systems; oscillators; perturbation projection vector (PPV); phase noise; Riccati equation; time varying eigenvalues

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LINEAR SYSTEMS; PERTURBATION TECHNIQUES; RICCATI EQUATIONS; TIME VARYING SYSTEMS; VARIATIONAL TECHNIQUES;

EID: 34248667204     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.882362     Document Type: Article
Times cited : (9)

References (28)
  • 2
    • 0032002580 scopus 로고    scopus 로고
    • A general theory of phase noise in electrical oscillators
    • Feb.
    • A. A. Hajimiri and T. Lee, “A general theory of phase noise in electrical oscillators,” IEEE J. Solid-State Circuits, vol. 33, no. 2, pp. 179–194, Feb. 1998.
    • (1998) IEEE J. Solid-State Circuits , vol.33 , Issue.2 , pp. 179-194
    • Hajimiri, A.A.1    Lee, T.2
  • 3
    • 0033700459 scopus 로고    scopus 로고
    • Phase noise in oscillators: A unifying theory and numerical methods for characterization
    • May
    • A. Demir, A. Mehrotra, and J. Roychowdhury, “Phase noise in oscillators: A unifying theory and numerical methods for characterization,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 47, no. 5, pp. 655–674, May 2000.
    • (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.47 , Issue.5 , pp. 655-674
    • Demir, A.1    Mehrotra, A.2    Roychowdhury, J.3
  • 4
    • 28444442727 scopus 로고    scopus 로고
    • Influence of noise density on the spectrum of an oscillator
    • Nov.
    • R. S. Swain, J. P. Gleeson, and M. P. Kennedy, “Influence of noise density on the spectrum of an oscillator, ” IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 11, pp. 789–793, Nov. 2005.
    • (2005) IEEE Trans. Circuits Syst. II, Exp. Briefs , vol.52 , Issue.11 , pp. 789-793
    • Swain, R.S.1    Gleeson, J.P.2    Kennedy, M.P.3
  • 5
    • 0037320460 scopus 로고    scopus 로고
    • A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications
    • Feb.
    • A. Demir and J. Roychowdhury, “A reliable and efficient procedure for oscillator PPV computation, with phase noise macromodeling applications, ” IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 22, no. 2, pp. 188–197, Feb. 2003.
    • (2003) IEEE Trans. Comput.-Aided Design Integr. Circuits Syst. , vol.22 , Issue.2 , pp. 188-197
    • Demir, A.1    Roychowdhury, J.2
  • 6
    • 27944431677 scopus 로고    scopus 로고
    • Exact analytical equations for predicting nonlinear phase errors and jitter in ring oscillators
    • J. Roychowdhury, “Exact analytical equations for predicting nonlinear phase errors and jitter in ring oscillators, ” in Proc. 18th Int. Conf. VLSI Des., 2005, pp. 516–521.
    • (2005) Proc. 18th Int. Conf. VLSI Des. , pp. 516-521
    • Roychowdhury, J.1
  • 8
    • 44949278576 scopus 로고
    • Unified canonical forms for matrices over a differential ring
    • J. Zhu and C. D. Johnson, “Unified canonical forms for matrices over a differential ring, ” Linear Algebra Appl., vol. 147, pp. 201–248, 1991.
    • (1991) Linear Algebra Appl. , vol.147 , pp. 201-248
    • Zhu, J.1    Johnson, C.D.2
  • 9
    • 0035010264 scopus 로고    scopus 로고
    • Modal factorization of timevarying models for nonlinear circuits by the Riccati transform
    • P. van der Kloet and F. L. Neerhoff, “Modal factorization of timevarying models for nonlinear circuits by the Riccati transform, ” in Proc. IEEE ISCAS, 2001, vol. 3, pp. 553–556.
    • (2001) Proc. IEEE ISCAS , vol.3 , pp. 553-556
    • van der Kloet, P.1    Neerhoff, F.L.2
  • 10
    • 0036283524 scopus 로고    scopus 로고
    • The Cauchy–Floquet factorization by successive Riccati transformations
    • P. van der Kloet and F. L. Neerhoff, “The Cauchy–Floquet factorization by successive Riccati transformations, ” in Proc. IEEE ISCAS, 2002, vol. 1, pp. 257–260.
    • (2002) Proc. IEEE ISCAS , vol.1 , pp. 257-260
    • van der Kloet, P.1    Neerhoff, F.L.2
  • 12
    • 0025226718 scopus 로고
    • Development of a symmetrically stabilized four-phase oscillator and some implications
    • Jan./Feb.
    • B. Z. Kaplan and D. Yardeni, “Development of a symmetrically stabilized four-phase oscillator and some implications, ” Int. J. Circuit Theory Appl., vol. 18, no. 1, pp. 71–84, Jan./Feb. 1990.
    • (1990) Int. J. Circuit Theory Appl. , vol.18 , Issue.1 , pp. 71-84
    • Kaplan, B.Z.1    Yardeni, D.2
  • 13
    • 0028465138 scopus 로고
    • Exact solutions of cyclically symmetric oscillator equations with non-linear coupling
    • Jul./Aug.
    • D. Fox, “Exact solutions of cyclically symmetric oscillator equations with non-linear coupling, ” Int. J. Circuit Theory Appl., vol. 22, no. 4, pp. 71–84, Jul./Aug. 1994.
    • (1994) Int. J. Circuit Theory Appl. , vol.22 , Issue.4 , pp. 71-84
    • Fox, D.1
  • 14
    • 0025558411 scopus 로고
    • RC phase-shifter variable sinusoidal oscillators using initial conditions Restoration amplitude control
    • Dec.
    • S. Pookaiyaudom and K. Saivichit, “ RC phase-shifter variable sinusoidal oscillators using initial conditions Restoration amplitude control, ” IEEE Trans. Instrum. Meas., vol. 19, no. 6, pp. 1038–1044, Dec. 1990.
    • (1990) IEEE Trans. Instrum. Meas. , vol.19 , Issue.6 , pp. 1038-1044
    • Pookaiyaudom, S.1    Saivichit, K.2
  • 15
    • 0032073021 scopus 로고    scopus 로고
    • An analytical solution for a class of oscillators, and its application to filter tuning
    • May
    • S. Pavan and Y. P. Tsividis, “An analytical solution for a class of oscillators, and its application to filter tuning, ” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 45, no. 5, pp. 547–556, May 1998.
    • (1998) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.45 , Issue.5 , pp. 547-556
    • Pavan, S.1    Tsividis, Y.P.2
  • 16
    • 37949011955 scopus 로고    scopus 로고
    • Relaxation oscillators with exact limit cycles
    • Feb.
    • M. A. Abdelkader, “Relaxation oscillators with exact limit cycles, ” J. Math. Anal. Appl., vol. 218, no. 1, pp. 308–312, Feb. 1998.
    • (1998) J. Math. Anal. Appl. , vol.218 , Issue.1 , pp. 308-312
    • Abdelkader, M.A.1
  • 17
    • 0742321755 scopus 로고    scopus 로고
    • Analysis of oscillations in quasi-conservative strongly nonlinear oscillator systems
    • Dec.
    • V. N. Savov, Z. D. Georgiev, and T. G. Todorov, “Analysis of oscillations in quasi-conservative strongly nonlinear oscillator systems, ” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 50, no. 12, pp. 1585–1588, Dec. 2003.
    • (2003) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.50 , Issue.12 , pp. 1585-1588
    • Savov, V.N.1    Georgiev, Z.D.2    Todorov, T.G.3
  • 18
    • 1642588261 scopus 로고    scopus 로고
    • A theoretical method for design and realization of fixed amplitude sinusoidal oscillators
    • Apr.
    • H. Fathabadi and S. K. Nikravesh, “A theoretical method for design and realization of fixed amplitude sinusoidal oscillators, ” Analog Integr. Circuits Signal Process., vol. 39, no. 1, pp. 123–130, Apr. 2004.
    • (2004) Analog Integr. Circuits Signal Process. , vol.39 , Issue.1 , pp. 123-130
    • Fathabadi, H.1    Nikravesh, S.K.2
  • 19
    • 0142117193 scopus 로고    scopus 로고
    • Groebner bases for designing dynamical systems
    • Oct.
    • G. L. Calandrini, E. E. Paolini, and J. L. Moiola, “Groebner bases for designing dynamical systems, ” Lat. Amer. Appl. Res., vol. 33, no. 4, pp. 427–434, Oct. 2003.
    • (2003) Lat. Amer. Appl. Res. , vol.33 , Issue.4 , pp. 427-434
    • Calandrini, G.L.1    Paolini, E.E.2    Moiola, J.L.3
  • 21
    • 0031060759 scopus 로고    scopus 로고
    • A differential relaxation oscillator as a versatile electronic interface for sensors
    • Feb.
    • P. A. Passeraub, P. A. Besse, C. de Raad, and R. S. Popovic, “A differential relaxation oscillator as a versatile electronic interface for sensors, ” Sens. Actuators A, Phys., vol. 58, no. 2, pp. 141–148, Feb. 1997.
    • (1997) Sens. Actuators A, Phys. , vol.58 , Issue.2 , pp. 141-148
    • Passeraub, P.A.1    Besse, P.A.2    de Raad, C.3    Popovic, R.S.4
  • 24
    • 4344660183 scopus 로고    scopus 로고
    • A general method to predict the amplitude of oscillation in nearly sinusoidal oscillators
    • Aug.
    • G. M. Maggio, O. De Feo, and M. P. Kennedy, “A general method to predict the amplitude of oscillation in nearly sinusoidal oscillators, ” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 8, pp. 1586–1595, Aug. 2004.
    • (2004) IEEE Trans. Circuits Syst. I, Reg. Papers , vol.51 , Issue.8 , pp. 1586-1595
    • Maggio, G.M.1    De Feo, O.2    Kennedy, M.P.3
  • 28
    • 0016036242 scopus 로고
    • Synthesis of nonlinear periodic systems
    • Mar.
    • L. O. Chua and D. N. Green, “Synthesis of nonlinear periodic systems, ” IEEE Trans. Circuits Syst., vol. CAS-21, no. 2, pp. 286–294, Mar. 1974.
    • (1974) IEEE Trans. Circuits Syst. , vol.CAS-21 , Issue.2 , pp. 286-294
    • Chua, L.O.1    Green, D.N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.