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Volumn 52, Issue 10, 2005, Pages 2248-2259

Digital differentiator design using fractional delay filter and limit computation

Author keywords

Allpass filter; Digital differentiator; Farrow structure; Finite impulse response (FIR) filter; Fractional delay filter; Infinite impulse response (IIR) filter

Indexed keywords

COMPUTATIONAL METHODS; ELECTRIC NETWORK SYNTHESIS; FIR FILTERS; IIR FILTERS; LAGRANGE MULTIPLIERS; TRANSFER FUNCTIONS;

EID: 27644509785     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2005.852916     Document Type: Article
Times cited : (31)

References (34)
  • 3
    • 0020335520 scopus 로고
    • "Digital low-pass differentiation for biological signal processing"
    • Oct
    • S. Usui and I. Amidror, "Digital low-pass differentiation for biological signal processing," IEEE Trans. Biomed. Eng., vol. 29, no. 10, pp. 686-693, Oct. 1982.
    • (1982) IEEE Trans. Biomed. Eng. , vol.29 , Issue.10 , pp. 686-693
    • Usui, S.1    Amidror, I.2
  • 4
    • 0015316461 scopus 로고
    • "Chebyshev approximation for non-recursive digital filters with linear phase"
    • Mar
    • T. W. Parks and J. H. McClellan, "Chebyshev approximation for non-recursive digital filters with linear phase," IEEE Trans. Circuit Theory, vol. 19, no. 3, pp. 189-194, Mar. 1972.
    • (1972) IEEE Trans. Circuit Theory , vol.19 , Issue.3 , pp. 189-194
    • Parks, T.W.1    McClellan, J.H.2
  • 5
    • 34250899901 scopus 로고
    • "Eigenfilter design of higher-order digital differentiators"
    • S. C. Pei and J. J. Shyu, "Eigenfilter design of higher-order digital differentiators," IEEE Trans. Acoust. Speech Signal Process., vol. 37, pp. 505-511, 1989.
    • (1989) IEEE Trans. Acoust. Speech Signal Process. , vol.37 , pp. 505-511
    • Pei, S.C.1    Shyu, J.J.2
  • 6
    • 0026142959 scopus 로고
    • "Maximum flat digital differentiator"
    • Apr
    • B. Carlsson, "Maximum flat digital differentiator," Electron. Lett., vol. 27, pp. 675-677. Apr. 1991.
    • (1991) Electron. Lett. , vol.27 , pp. 675-677
    • Carlsson, B.1
  • 7
    • 0028498278 scopus 로고
    • "Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique"
    • Sep
    • S. Sunder and V. Ramachandran, "Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique," IEEE Trans. Signal Process., vol. 42, no. 9, pp. 2504-2509, Sep. 1994.
    • (1994) IEEE Trans. Signal Process. , vol.42 , Issue.9 , pp. 2504-2509
    • Sunder, S.1    Ramachandran, V.2
  • 8
    • 0033746389 scopus 로고    scopus 로고
    • "Stable IIR digital differentiator design using iterative quadratic programming approach"
    • C. C. Tseng, "Stable IIR digital differentiator design using iterative quadratic programming approach," Signal Process., vol. 80, pp. 857-866, 2000.
    • (2000) Signal Process. , vol.80 , pp. 857-866
    • Tseng, C.C.1
  • 9
    • 0033343639 scopus 로고    scopus 로고
    • "New design of full band differentiators based on Taylor series"
    • Aug
    • I. R. Khan and R. Ohba, "New design of full band differentiators based on Taylor series," in Proc. IEE Vis. Image Signal Process., vol. 146, Aug. 1999, pp. 185-189.
    • (1999) Proc. IEE Vis. Image Signal Process. , vol.146 , pp. 185-189
    • Khan, I.R.1    Ohba, R.2
  • 10
    • 0036698641 scopus 로고    scopus 로고
    • "Taylor series based two-dimensional digital differentiators"
    • Aug
    • I. R. Khan and R. Ohba, "Taylor series based two-dimensional digital differentiators," in Proc. IEE Vis. Image Signal Process., vol. 149, Aug. 2002, pp. 231-236.
    • (2002) Proc. IEE Vis. Image Signal Process. , vol.149 , pp. 231-236
    • Khan, I.R.1    Ohba, R.2
  • 11
    • 0035280591 scopus 로고    scopus 로고
    • "Design of fractional-order digital FIR differentiators"
    • Mar
    • C. C. Tseng, "Design of fractional-order digital FIR differentiators," IEEE Signal Process. Lett., vol. 8, no. 3, pp. 77-79, Mar. 2001.
    • (2001) IEEE Signal Process. Lett. , vol.8 , Issue.3 , pp. 77-79
    • Tseng, C.C.1
  • 13
    • 0024125148 scopus 로고
    • "A continuously variable digital delay element"
    • May
    • C. W. Farrow, "A continuously variable digital delay element," in Proc. Int. Symp. Circuits and Systems, May 1988, pp. 2641-2645.
    • (1988) Proc. Int. Symp. Circuits and Systems , pp. 2641-2645
    • Farrow, C.W.1
  • 14
    • 0033308746 scopus 로고    scopus 로고
    • "An improved weighted least-squares design for variable fractional delay FIR filters"
    • Aug
    • W. S. Lu and T. B. Deng, "An improved weighted least-squares design for variable fractional delay FIR filters," IEEE Trans. Circuits Syst. II. Analog Digit. Signal Process., vol. 46, no. 8, pp. 1035-1040, Aug. 1999.
    • (1999) IEEE Trans. Circuits Syst. II. Analog Digit. Signal Process. , vol.46 , Issue.8 , pp. 1035-1040
    • Lu, W.S.1    Deng, T.B.2
  • 15
    • 0033900547 scopus 로고    scopus 로고
    • "Weighted least-squares method for designing variable fractional delay 2-D FIR filters"
    • Feb
    • T. B. Deng and W. S. Lu, "Weighted least-squares method for designing variable fractional delay 2-D FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 47, no. 2, pp. 114-124, Feb. 2000.
    • (2000) IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process. , vol.47 , Issue.2 , pp. 114-124
    • Deng, T.B.1    Lu, W.S.2
  • 16
    • 0035355466 scopus 로고    scopus 로고
    • "Discretization-free design of variable fractional-delay FIR filters"
    • Jun
    • T. B. Deng, "Discretization-free design of variable fractional-delay FIR filters," IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process., vol. 48, no. 6, pp. 637-647, Jun. 2001.
    • (2001) IEEE Trans. Circuits Syst. II, Analog Digit. Signal Process. , vol.48 , Issue.6 , pp. 637-647
    • Deng, T.B.1
  • 17
    • 0036803114 scopus 로고    scopus 로고
    • "Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method"
    • Oct
    • C. C. Tseng, "Design of 1-D and 2-D variable fractional delay allpass filters using weighted least-squares method," IEEE Trans. Circuits Syst. I. Fundam. Theory Appl., vol. 49, no. 10, pp. 1413-1422, Oct. 2002.
    • (2002) IEEE Trans. Circuits Syst. I. Fundam. Theory Appl. , vol.49 , Issue.10 , pp. 1413-1422
    • Tseng, C.C.1
  • 18
    • 0030661454 scopus 로고    scopus 로고
    • "Optimization and efficient implementation of FIR filters with adjustable fractional delay"
    • May
    • J. Vesma and T. Saramaki, "Optimization and efficient implementation of FIR filters with adjustable fractional delay," in Proc. Int. Symp. Circuits and Systems, May 1997, pp. 2256-2259.
    • (1997) Proc. Int. Symp. Circuits and Systems , pp. 2256-2259
    • Vesma, J.1    Saramaki, T.2
  • 19
    • 0003021486 scopus 로고    scopus 로고
    • "Design and properties of polynomial-based fractional delay filters"
    • May
    • J. Vesma and T. Saramaki, "Design and properties of polynomial-based fractional delay filters," in Proc. Int. Symp. Circuits and Systems, vol. 1, May 2000, pp. 104-107.
    • (2000) Proc. Int. Symp. Circuits and Systems , vol.1 , pp. 104-107
    • Vesma, J.1    Saramaki, T.2
  • 20
    • 0036819081 scopus 로고    scopus 로고
    • "Eigenfilter approach for the design of variable fractional delay FIR and allpass filters"
    • Oct
    • C. C. Tseng, "Eigenfilter approach for the design of variable fractional delay FIR and allpass filters," Proc. IEE Vis. Image Signal Process., vol. 149, pp. 297-303, Oct. 2002.
    • (2002) Proc. IEE Vis. Image Signal Process. , vol.149 , pp. 297-303
    • Tseng, C.C.1
  • 21
    • 4344586335 scopus 로고    scopus 로고
    • "SVD-based design and new structures for variable fractional-delay digital filters"
    • Sep
    • T. B. Deng and Y. Nakagawa, "SVD-based design and new structures for variable fractional-delay digital filters," IEEE Trans. Signal Process., vol. 52, no. 9, pp. 2513-2527, Sep. 2004.
    • (2004) IEEE Trans. Signal Process. , vol.52 , Issue.9 , pp. 2513-2527
    • Deng, T.B.1    Nakagawa, Y.2
  • 22
    • 0026827151 scopus 로고
    • "Relationships among digital one/half band filters, low/high-order differentiators, and discrete/differentiating Hilbert transformers"
    • Mar
    • S. C. Pei and J. J. Shyu, "Relationships among digital one/half band filters, low/high-order differentiators, and discrete/differentiating Hilbert transformers," IEEE Trans. Signal Process., vol. 40, no. 3, pp. 694-700, Mar. 1992.
    • (1992) IEEE Trans. Signal Process. , vol.40 , Issue.3 , pp. 694-700
    • Pei, S.C.1    Shyu, J.J.2
  • 23
    • 0023855661 scopus 로고    scopus 로고
    • "The digital all-pass filter: A versatile signal processing building block"
    • Jan
    • P. A. Regalia, S. K. Mitra, and P. P. Vaidyanathan, "The digital all-pass filter: A versatile signal processing building block," Proc. IEEE. vol. 76, pp. 19-37, Jan. 1998.
    • (1998) Proc. IEEE , vol.76 , pp. 19-37
    • Regalia, P.A.1    Mitra, S.K.2    Vaidyanathan, P.P.3
  • 25
    • 0035492356 scopus 로고    scopus 로고
    • "Design of two-dimensional FIR digital filters by McClellan transform and quadratic programming"
    • Oct
    • C. C. Tseng, "Design of two-dimensional FIR digital filters by McClellan transform and quadratic programming," Proc. IEE Vis. Image Signal Process., vol. 148, pp. 325-331, Oct. 2001.
    • (2001) Proc. IEE Vis. Image Signal Process. , vol.148 , pp. 325-331
    • Tseng, C.C.1
  • 26
    • 0036287456 scopus 로고    scopus 로고
    • "Design of variable fractional delay FIR filter using differentiator bank"
    • May
    • C. C. Tseng, "Design of variable fractional delay FIR filter using differentiator bank," in Proc. Int. Symp. Circuits and Systems, vol. 4, May 2002, pp. 421-424.
    • (2002) Proc. Int. Symp. Circuits and Systems , vol.4 , pp. 421-424
    • Tseng, C.C.1
  • 27
    • 0142123184 scopus 로고    scopus 로고
    • "An efficient design of a variable fractional delay filter using first-order differentiator"
    • Oct
    • S. C. Pei and C. C. Tseng, "An efficient design of a variable fractional delay filter using first-order differentiator," IEEE Signal Process. Lett., no. 10, pp. 307-310, Oct. 2003.
    • (2003) IEEE Signal Process. Lett. , Issue.10 , pp. 307-310
    • Pei, S.C.1    Tseng, C.C.2
  • 28
    • 17944392026 scopus 로고    scopus 로고
    • "Design of 2-D variable fractional delay FIR filter using 2-D differentiators"
    • May
    • C. C. Tseng, "Design of 2-D variable fractional delay FIR filter using 2-D differentiators," in Proc. Int. Symp. Circuits and Systems, vol. 4, May 2003, pp. 189-192.
    • (2003) Proc. Int. Symp. Circuits and Systems , vol.4 , pp. 189-192
    • Tseng, C.C.1
  • 31
    • 4344622670 scopus 로고    scopus 로고
    • "Design of variable fractional delay FIR filter using symmetry"
    • May
    • C. C. Tseng, "Design of variable fractional delay FIR filter using symmetry," in Proc. Int. Symp. Circuits and Systems, vol. 3, May 2004, pp. 477-480.
    • (2004) Proc. Int. Symp. Circuits and Systems , vol.3 , pp. 477-480
    • Tseng, C.C.1
  • 32
    • 0031676278 scopus 로고    scopus 로고
    • "Performance and design considerations of the Farrow filter when used for arbitrary resampling of sampled time series"
    • Nov
    • F. Harris, "Performance and design considerations of the Farrow filter when used for arbitrary resampling of sampled time series," in Proc. 31st Asilomar Conf. Signals, Systems, and Computers, vol. 2, Nov. 1998, pp. 1745-1749.
    • (1998) Proc. 31st Asilomar Conf. Signals, Systems, and Computers , vol.2 , pp. 1745-1749
    • Harris, F.1
  • 33
    • 0028766253 scopus 로고
    • "Design of FIR first-order digital differentiators of variable fractional sample delay using maximally flat error criterion"
    • Jan
    • E. Hermanowicz and M. Rojewski, "Design of FIR first-order digital differentiators of variable fractional sample delay using maximally flat error criterion," Electron. Lett., vol. 30, pp. 17-18, Jan. 1994.
    • (1994) Electron. Lett. , vol.30 , pp. 17-18
    • Hermanowicz, E.1    Rojewski, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.