A circular harmonic quantized amplitude compensated matched filter

Hui Zhang, Zhao-Qi Wang, Colin M. Cartwright, Mei-Song Ding, Nick J. Cook, W. Allan Gillespie

Research output: Contribution to journalArticle

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Abstract

The circular harmonic expansion technique has been applied to the quantized amplitude-compensated matched filter for rotation-invariant recognition. The filter is an amplitude filter with three discrete grey levels. The performance of the proposed filter is compared with the circular harmonic binary filter which has amplitude values of zero and unity. Three different circular harmonic components, namely the zero-order, first-order and second-order, were used in the investigation. Computer simulations show that there is a trade-off between the Horner efficiency and the signal-to-noise ratio with the amplitude compensation technique. With the second-order circular harmonic, an improvement of 45 % in the signal-to-noise ratio was achieved with only a 12% loss in the Horner efficiency.
Original languageEnglish
Pages (from-to)119-123
Number of pages5
JournalOptik
Volume109
Issue number3
StatePublished - 1998

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Matched filters
Signal to noise ratio
Computer simulation

Cite this

Zhang, H., Wang, Z-Q., Cartwright, C. M., Ding, M-S., Cook, N. J., & Gillespie, W. A. (1998). A circular harmonic quantized amplitude compensated matched filter. Optik, 109(3), 119-123.

Zhang, Hui; Wang, Zhao-Qi; Cartwright, Colin M.; Ding, Mei-Song; Cook, Nick J.; Gillespie, W. Allan / A circular harmonic quantized amplitude compensated matched filter.

In: Optik, Vol. 109, No. 3, 1998, p. 119-123.

Research output: Contribution to journalArticle

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abstract = "The circular harmonic expansion technique has been applied to the quantized amplitude-compensated matched filter for rotation-invariant recognition. The filter is an amplitude filter with three discrete grey levels. The performance of the proposed filter is compared with the circular harmonic binary filter which has amplitude values of zero and unity. Three different circular harmonic components, namely the zero-order, first-order and second-order, were used in the investigation. Computer simulations show that there is a trade-off between the Horner efficiency and the signal-to-noise ratio with the amplitude compensation technique. With the second-order circular harmonic, an improvement of 45 % in the signal-to-noise ratio was achieved with only a 12% loss in the Horner efficiency.",
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Zhang, H, Wang, Z-Q, Cartwright, CM, Ding, M-S, Cook, NJ & Gillespie, WA 1998, 'A circular harmonic quantized amplitude compensated matched filter' Optik, vol 109, no. 3, pp. 119-123.

A circular harmonic quantized amplitude compensated matched filter. / Zhang, Hui; Wang, Zhao-Qi; Cartwright, Colin M.; Ding, Mei-Song; Cook, Nick J.; Gillespie, W. Allan.

In: Optik, Vol. 109, No. 3, 1998, p. 119-123.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A circular harmonic quantized amplitude compensated matched filter

AU - Zhang,Hui

AU - Wang,Zhao-Qi

AU - Cartwright,Colin M.

AU - Ding,Mei-Song

AU - Cook,Nick J.

AU - Gillespie,W. Allan

PY - 1998

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N2 - The circular harmonic expansion technique has been applied to the quantized amplitude-compensated matched filter for rotation-invariant recognition. The filter is an amplitude filter with three discrete grey levels. The performance of the proposed filter is compared with the circular harmonic binary filter which has amplitude values of zero and unity. Three different circular harmonic components, namely the zero-order, first-order and second-order, were used in the investigation. Computer simulations show that there is a trade-off between the Horner efficiency and the signal-to-noise ratio with the amplitude compensation technique. With the second-order circular harmonic, an improvement of 45 % in the signal-to-noise ratio was achieved with only a 12% loss in the Horner efficiency.

AB - The circular harmonic expansion technique has been applied to the quantized amplitude-compensated matched filter for rotation-invariant recognition. The filter is an amplitude filter with three discrete grey levels. The performance of the proposed filter is compared with the circular harmonic binary filter which has amplitude values of zero and unity. Three different circular harmonic components, namely the zero-order, first-order and second-order, were used in the investigation. Computer simulations show that there is a trade-off between the Horner efficiency and the signal-to-noise ratio with the amplitude compensation technique. With the second-order circular harmonic, an improvement of 45 % in the signal-to-noise ratio was achieved with only a 12% loss in the Horner efficiency.

M3 - Article

VL - 109

SP - 119

EP - 123

JO - Optik

T2 - Optik

JF - Optik

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Zhang H, Wang Z-Q, Cartwright CM, Ding M-S, Cook NJ, Gillespie WA. A circular harmonic quantized amplitude compensated matched filter. Optik. 1998;109(3):119-123.