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Volumn 54, Issue 10, 2007, Pages 2252-2261

Theoretical upperbound of the spurious-free dynamic range in direct digital frequency synthesizers realized by polynomial interpolation methods

Author keywords

Chebyshev minimax problem; Direct digital frequency synthesizer (DDFS); Polynomial interpolation; Spurious harmonic analysis

Indexed keywords

FOURIER SERIES; HARMONIC ANALYSIS; INTERPOLATION; LINEAR MATRIX INEQUALITIES; MATHEMATICAL MODELS; OPTIMIZATION; POLYNOMIALS; SIGNAL TO NOISE RATIO;

EID: 36349023943     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2007.904660     Document Type: Article
Times cited : (29)

References (35)
  • 2
    • 33846640847 scopus 로고    scopus 로고
    • Exact analysis of DDFS spur and SNR due to phase truncation and arbitrary phase-to-Amplitude errors
    • Aug
    • A. Torosyan and A. N. Willson Jr., "Exact analysis of DDFS spur and SNR due to phase truncation and arbitrary phase-to-Amplitude errors," in Proc. IEEE Int. Frequency Control Symp. Expo., Aug. 2005, pp. 50-58.
    • (2005) Proc. IEEE Int. Frequency Control Symp. Expo , pp. 50-58
    • Torosyan, A.1    Willson Jr., A.N.2
  • 3
    • 0023586546 scopus 로고
    • An analysis of the output spectrum of direct digital frequency synthesizers in the presence of phase-accumulator truncation
    • H. T. Nicholas and H. S amueli, "An analysis of the output spectrum of direct digital frequency synthesizers in the presence of phase-accumulator truncation," in Proc. 41st Annual Frequency Control Symp., 1987, pp. 495-502.
    • (1987) Proc. 41st Annual Frequency Control Symp , pp. 495-502
    • Nicholas, H.T.1    amueli, H.S.2
  • 4
    • 0037456863 scopus 로고    scopus 로고
    • Exact analysis of spurious signals in direct digital frequency synthesizers due to phase truncation
    • Mar
    • F. Curticãpean and J. Niittylahti, "Exact analysis of spurious signals in direct digital frequency synthesizers due to phase truncation," Electron. Lett., vol. 39, no. 6, pp. 499-501, Mar. 2003.
    • (2003) Electron. Lett , vol.39 , Issue.6 , pp. 499-501
    • Curticãpean, F.1    Niittylahti, J.2
  • 5
    • 0031102705 scopus 로고    scopus 로고
    • Methods of mapping from phase sine amplitude in direct digital synthesis
    • Mar
    • J. Vankka, "Methods of mapping from phase sine amplitude in direct digital synthesis," IEEE Trans. Ultrason., Ferroelectr., Freq. Control, vol. 44, no. 2, pp. 526-534, Mar. 1997.
    • (1997) IEEE Trans. Ultrason., Ferroelectr., Freq. Control , vol.44 , Issue.2 , pp. 526-534
    • Vankka, J.1
  • 7
    • 0033169555 scopus 로고    scopus 로고
    • A 100-MHz, 16-b, direct digital frequency synthesizer with a 100-dBc spurious-free dynamic range
    • Aug
    • A. Madisetti, A. Y. Kwentus, and A. N. Wilson, "A 100-MHz, 16-b, direct digital frequency synthesizer with a 100-dBc spurious-free dynamic range," IEEE J. Solid-State Circuits, vol. 34, no. 8, pp. 1034-1043, Aug. 1999.
    • (1999) IEEE J. Solid-State Circuits , vol.34 , Issue.8 , pp. 1034-1043
    • Madisetti, A.1    Kwentus, A.Y.2    Wilson, A.N.3
  • 8
    • 3142708594 scopus 로고    scopus 로고
    • Quadrature direct digital frequency synthesizers using interpolation-based angle rotation
    • Jul
    • Y. Song and B. Kim, "Quadrature direct digital frequency synthesizers using interpolation-based angle rotation," IEEE Trans. Very Large Scale Integr. (VLSI) Syst., vol. 12, no. 7, pp. 701-710, Jul. 2004.
    • (2004) IEEE Trans. Very Large Scale Integr. (VLSI) Syst , vol.12 , Issue.7 , pp. 701-710
    • Song, Y.1    Kim, B.2
  • 9
    • 0035846006 scopus 로고    scopus 로고
    • Optimization of direct digital frequency synthesizers based on CORDIC
    • Oct
    • F. Cardells-Tomoro and J. Valls-Coquillat, "Optimization of direct digital frequency synthesizers based on CORDIC," Electron. Lett., vol. 37, no. 21, pp. 1278-1280, Oct. 2001.
    • (2001) Electron. Lett , vol.37 , Issue.21 , pp. 1278-1280
    • Cardells-Tomoro, F.1    Valls-Coquillat, J.2
  • 10
    • 0038422939 scopus 로고    scopus 로고
    • Quadrature direct digital frequency synthesizer using angle rotation algorithm
    • May
    • F. Curticapean, K. I. palomaki, and J. Niittylahti, "Quadrature direct digital frequency synthesizer using angle rotation algorithm," in Proc. IEEE Int. Symp. Circuits Syst., May 2003, vol. 2, pp. 81-84.
    • (2003) Proc. IEEE Int. Symp. Circuits Syst , vol.2 , pp. 81-84
    • Curticapean, F.1    palomaki, K.I.2    Niittylahti, J.3
  • 11
    • 13244273508 scopus 로고    scopus 로고
    • Phase to sinusoid amplitude conversion techniques for direct digital frequency synthesis
    • Dec
    • J. M. P. Langlois and D. Al-Khalili, "Phase to sinusoid amplitude conversion techniques for direct digital frequency synthesis," Proc. Inst. Elect. Eng., Circuit Devices Syst., vol. 151, no. 6, Dec. 2004.
    • (2004) Proc. Inst. Elect. Eng., Circuit Devices Syst , vol.151 , Issue.6
    • Langlois, J.M.P.1    Al-Khalili, D.2
  • 12
    • 4544238866 scopus 로고    scopus 로고
    • A 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula
    • Sep
    • C. C. Wang, Y. L. Tseng, H. C. She, C. C. Li, and R. Hu, "A 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula," IEEE Trans. Very Large Scale Integr. Syst., vol. 12, no. 9, pp. 895-900, Sep. 2004.
    • (2004) IEEE Trans. Very Large Scale Integr. Syst , vol.12 , Issue.9 , pp. 895-900
    • Wang, C.C.1    Tseng, Y.L.2    She, H.C.3    Li, C.C.4    Hu, R.5
  • 13
    • 27844496966 scopus 로고    scopus 로고
    • Comments on a 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula
    • Sep
    • A. Ashrafi and R. Adhami, "Comments on a 13-bit resolution ROM-less direct digital frequency synthesizer based on a trigonometric quadruple angle formula," IEEE Trans. Very Large Scale Integr. Syst., vol. 13, no. 9, pp. 1096-1098, Sep. 2005.
    • (2005) IEEE Trans. Very Large Scale Integr. Syst , vol.13 , Issue.9 , pp. 1096-1098
    • Ashrafi, A.1    Adhami, R.2
  • 14
    • 3042759287 scopus 로고    scopus 로고
    • A novel ROM-less direct digital frequency synthesizer based on Chebyshev polynomial interpolation
    • Mar
    • A. Ashrafi, Z. Pan, R. Adhami, and B. E. Wells, "A novel ROM-less direct digital frequency synthesizer based on Chebyshev polynomial interpolation," in Proc. 36th Southeastern Symp. System Theory, Mar. 2004, pp. 393-397.
    • (2004) Proc. 36th Southeastern Symp. System Theory , pp. 393-397
    • Ashrafi, A.1    Pan, Z.2    Adhami, R.3    Wells, B.E.4
  • 15
    • 4344637583 scopus 로고    scopus 로고
    • Arbitrary waveform DDFS utilizing Chebyshev polynomials interpolation
    • Aug
    • A. Ashrafi, R. Adhami, L. Joiner, and P. Kaveh, "Arbitrary waveform DDFS utilizing Chebyshev polynomials interpolation," IEEE Trans. Circuits Syst. I, vol. 51, no. 8, pp. 1468-1475, Aug. 2004.
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , Issue.8 , pp. 1468-1475
    • Ashrafi, A.1    Adhami, R.2    Joiner, L.3    Kaveh, P.4
  • 16
    • 33749619630 scopus 로고    scopus 로고
    • A quasi-linear interpolation method to develop a direct digital frequency synthesizer with VLSI implementation,
    • Ph.D. dissertation, Dept. Elect. Comput. Eng, Univ. Alabama, Huntsville, AL
    • A. Ashrafi, "A quasi-linear interpolation method to develop a direct digital frequency synthesizer with VLSI implementation," Ph.D. dissertation, Dept. Elect. Comput. Eng., Univ. Alabama, Huntsville, AL, 2006.
    • (2006)
    • Ashrafi, A.1
  • 17
    • 3542990876 scopus 로고    scopus 로고
    • Direct digital frequency synthesizers with polynomial hyperfolding technique
    • Jul
    • D. De Caro, E. Napoli, and A. G. M. Strollo, "Direct digital frequency synthesizers with polynomial hyperfolding technique," IEEE Trans. Circuits Syst. II Exp. Briefs, vol. 51, no. 7, pp. 337-344, Jul. 2004.
    • (2004) IEEE Trans. Circuits Syst. II Exp. Briefs , vol.51 , Issue.7 , pp. 337-344
    • De Caro, D.1    Napoli, E.2    Strollo, A.G.M.3
  • 19
    • 0035456355 scopus 로고    scopus 로고
    • A pipelined ROM-less architecture for sine-output direct digital frequency synthesizers using the second-order parabolic approximation
    • Sep
    • A. M. Sodagar and G. R. Lahiji, "A pipelined ROM-less architecture for sine-output direct digital frequency synthesizers using the second-order parabolic approximation," IEEE Trans. Circuit Syst. II: Analog Digit. Signal Process., vol. 48, no. 9, pp. 850-857, Sep. 2001.
    • (2001) IEEE Trans. Circuit Syst. II: Analog Digit. Signal Process , vol.48 , Issue.9 , pp. 850-857
    • Sodagar, A.M.1    Lahiji, G.R.2
  • 20
    • 0035456355 scopus 로고    scopus 로고
    • A pipelined ROM-less architecture for sine-output direct digital frequency synthesizers using the second-order parabolic approximation
    • Sep
    • A. M. Sodagar and G. R. Lahiji, "A pipelined ROM-less architecture for sine-output direct digital frequency synthesizers using the second-order parabolic approximation," IEEE Trans. Circuit Syst. II: Analog Digit. Signal Process., vol. 48, no. 9, pp. 850-857, Sep. 2001.
    • (2001) IEEE Trans. Circuit Syst. II: Analog Digit. Signal Process , vol.48 , Issue.9 , pp. 850-857
    • Sodagar, A.M.1    Lahiji, G.R.2
  • 21
    • 0141885127 scopus 로고    scopus 로고
    • Novel approach to the design of direct digital frequency synthesizers based on linear interpolation
    • Sep
    • J. M. P. Langlois and D. Al-Khalili, "Novel approach to the design of direct digital frequency synthesizers based on linear interpolation," IEEE Trans. Circuits Systems II, Analog Digit. Signal Process., vol. 50, no. 9, pp. 567-578, Sep. 2003.
    • (2003) IEEE Trans. Circuits Systems II, Analog Digit. Signal Process , vol.50 , Issue.9 , pp. 567-578
    • Langlois, J.M.P.1    Al-Khalili, D.2
  • 22
    • 14644403034 scopus 로고    scopus 로고
    • High-performance direct digital frequency synthesizers using piecewise-polynomial approximation
    • Feb
    • D. De Caro and A. G. M. Strollo, "High-performance direct digital frequency synthesizers using piecewise-polynomial approximation," IEEE Trans. Circuits Syst. I, vol. 52, pp. 324-336, Feb. 2005.
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , pp. 324-336
    • De Caro, D.1    Strollo, A.G.M.2
  • 23
    • 27844440775 scopus 로고    scopus 로고
    • High-performance direct digital frequency synthesizers in 0.25 mm CMOS using dual-slope approximation
    • Nov
    • D. De Caro and A. G. M. Strollo, "High-performance direct digital frequency synthesizers in 0.25 mm CMOS using dual-slope approximation," IEEE J. Solid State Circuits, vol. 40, no. 11, pp. 2220-2227, Nov. 2005.
    • (2005) IEEE J. Solid State Circuits , vol.40 , Issue.11 , pp. 2220-2227
    • De Caro, D.1    Strollo, A.G.M.2
  • 24
    • 0034274694 scopus 로고    scopus 로고
    • Approximation in normed linear spaces
    • Sep
    • G. A. Watson, "Approximation in normed linear spaces," J. Comput. Appl. Math., vol. 121, no. 1-2, pp. 1-36, Sep. 2000.
    • (2000) J. Comput. Appl. Math , vol.121 , Issue.1-2 , pp. 1-36
    • Watson, G.A.1
  • 25
    • 0346978467 scopus 로고
    • 1 solutions of linear equations using least squares solutions
    • Sep
    • 1 solutions of linear equations using least squares solutions," SIAM J. Numer. Anal., vol. 5, no. 3, pp. 491-505, Sep. 1968.
    • (1968) SIAM J. Numer. Anal , vol.5 , Issue.3 , pp. 491-505
    • Duris, C.S.1    Sreedharan, V.P.2
  • 26
    • 84976848888 scopus 로고
    • Algorithm 495, solution of an overdetermined system of linear equations in the Chebyshev norm [F4]
    • Sep
    • I. Barrodale and C. Phillips, "Algorithm 495, solution of an overdetermined system of linear equations in the Chebyshev norm [F4]," ACM Trans. Math. Softw., vol. 1, no. 3, pp. 264-270, Sep. 1975.
    • (1975) ACM Trans. Math. Softw , vol.1 , Issue.3 , pp. 264-270
    • Barrodale, I.1    Phillips, C.2
  • 27
    • 0141972662 scopus 로고
    • Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations
    • Jun
    • R. H. Bartels and G. H. Golub, "Stable numerical methods for obtaining the Chebyshev solution to an overdetermined system of equations," ACM Trans. Commun., vol. 11, no. 6, pp. 401-406, Jun. 1968.
    • (1968) ACM Trans. Commun , vol.11 , Issue.6 , pp. 401-406
    • Bartels, R.H.1    Golub, G.H.2
  • 28
    • 0014432229 scopus 로고
    • An exchange method for solving Harr or non-Harr overdetermined linear equations in the sense of Chebyshev
    • C. S. Duris, "An exchange method for solving Harr or non-Harr overdetermined linear equations in the sense of Chebyshev," in Proc. 23rd ACM Nat. Conf., 1968, pp. 61-66.
    • (1968) Proc. 23rd ACM Nat. Conf , pp. 61-66
    • Duris, C.S.1
  • 30
    • 36348942791 scopus 로고
    • Chebyshev solution of 11 + 1 linear equations in n unknowns
    • Jul
    • D. Moursund, "Chebyshev solution of 11 + 1 linear equations in n unknowns," J. Assoc. Comput. Mach., vol. 12, no. 3, pp. 383-387, Jul. 1965.
    • (1965) J. Assoc. Comput. Mach , vol.12 , Issue.3 , pp. 383-387
    • Moursund, D.1
  • 31
    • 0000603791 scopus 로고
    • On Cline's direct method for solving overdetermined linear systems in the 1∞ sense
    • Apr
    • R. H. Bartels, A. R. Conn, and C. Charalambous, "On Cline's direct method for solving overdetermined linear systems in the 1∞ sense," SIAM J. Numer. Anal., vol. 15, no. 2, pp. 255-270, Apr. 1978.
    • (1978) SIAM J. Numer. Anal , vol.15 , Issue.2 , pp. 255-270
    • Bartels, R.H.1    Conn, A.R.2    Charalambous, C.3
  • 33
    • 0032495361 scopus 로고    scopus 로고
    • VLSI implementation of 350 MHz 0.35 mm 8 bit merger squarer
    • Jan
    • R. K. Kolagotla, W. R. Griesbach, and H. R. Srinivas, "VLSI implementation of 350 MHz 0.35 mm 8 bit merger squarer," Electron. Lett., vol. 34, no. 1, pp. 47-48, Jan. 1998.
    • (1998) Electron. Lett , vol.34 , Issue.1 , pp. 47-48
    • Kolagotla, R.K.1    Griesbach, W.R.2    Srinivas, H.R.3
  • 34
    • 33746876981 scopus 로고    scopus 로고
    • Dual-tree error compensation for high performance fixed-width multipliers
    • Aug
    • A. G. M. Strollo, N. Petra, and D. De Caro, "Dual-tree error compensation for high performance fixed-width multipliers," IEEE Trans. Circuits Syst. II Exp. Briefs, vol. 52, no. 8, pp. 501-507, Aug. 2005.
    • (2005) IEEE Trans. Circuits Syst. II Exp. Briefs , vol.52 , Issue.8 , pp. 501-507
    • Strollo, A.G.M.1    Petra, N.2    De Caro, D.3
  • 35
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • Jan
    • J. A. Nelder and R. Mead, "A simplex method for function minimization," Comput. J., vol. 7, no. 4, pp. 308-313, Jan. 1965.
    • (1965) Comput. J , vol.7 , Issue.4 , pp. 308-313
    • Nelder, J.A.1    Mead, R.2


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