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Volume 40 Issue 4
Apr.  2018
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HUANG Xiangdong, XU Jingwen, ZHANG Bo, MA Xin. Low-complexity Design of Variable Fractional Delay Filters[J]. Journal of Electronics & Information Technology, 2018, 40(4): 985-991. doi: 10.11999/JEIT170349
Citation: HUANG Xiangdong, XU Jingwen, ZHANG Bo, MA Xin. Low-complexity Design of Variable Fractional Delay Filters[J]. Journal of Electronics & Information Technology, 2018, 40(4): 985-991. doi: 10.11999/JEIT170349

Low-complexity Design of Variable Fractional Delay Filters

doi: 10.11999/JEIT170349
Funds:

The National Natural Science Foundation of China (61671012)

  • Received Date: 2017-04-19
  • Rev Recd Date: 2018-03-12
  • Publish Date: 2018-04-19
  • In order to design variable fractional delay filters with low complexity and high accuracy, an efficient design method with controllable cut-off frequency is proposed, which integrates the analytic all-phase filter design, the cubic spline interpolation and Taylor series expansion. In the proposed design, not only the time delay of the filter can be precisely adjusted by setting the delay parameter, but also the tap coefficients of each subfilter in the Farrow structure can be rapidly configured via setting the cut-off frequency parameter, thus the cut-off frequency of the filter can be adjusted flexibly. Numerical simulations show that, the proposed method is especially suitable to design variable fractional delay filters with low or middle cut-off frequencies, and its computation complexity is one order of magnitude lower than that of the existing Weighted Least Squares (WLS) design.
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  • 陈彩莲, 于宏毅, 沈彩耀, 等. 采样率转换中Farrow滤波器实现结构研究[J]. 信息工程大学学报, 2009, 10(3): 329-332.
    CHEN Cailian, YU Hongyi, SHEN Caiyao, et al. Efficient implementation for sample rate conversion using Farrow structure[J]. Journal of Information Engineering University, 2009, 10(3): 329-332.
    OLSSON M, JOHANSSON H, and LOWENBORG P. Time- delay estimation using Farrow-based fractional-delay FIR filters: Filter approximation vs. estimation errors[C]. European Signal Processing Conference, Florence, Italy, 2006: 1-5.
    PEI Soochang and TSENG Chiencheng. A comb filter design using fractional-sample delay[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1998, 45(5): 649-653. doi: 10.1109/82.673650.
    LIU Guosui and WEI Cheho. A new variable fractional sample delay filter with nonlinear interpolation[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1992, 39(2): 123-126. doi: 10.1109/82. 205818.
    DENG Tianbo. High-resolution image interpolation using lagrange-type variable fractional delay filter[C]. International Technical Conference on Circuits Systems, Computers and Communications, Chiang-Mai, 2006: 541-544.
    韦文, 李宁, 汤俊, 等. 基于分数时延的宽带自适应波束形成[J]. 清华大学学报(自然科学版), 2011, 51(7): 988-992. doi: 10.16511/j.cnki.qhdxxb.2011.07.016.
    WEI Wen, LI Ning, TANG Jun, et al. Wideband adaptive beamforming based on fractional delay[J]. Journal of Tsinghua University(Natural Science), 2011, 51(7): 988-992. doi: 10.16511/j.cnki.qhdxxb.2011.07.016.
    FARROW C W. A continuously variable digital delay element[C]. IEEE International Symposium on Circuits and Systems, 1988, Espoo, Finland, 3: 2641-2645. doi: 10.1109 /ISCAS.1988.15483.
    HAI Huyen Dam. Design of allpass variable fractional delay filter with powers-of-two coefficients[J]. IEEE Signal Processing Letters, 2015, 22(10): 1643-1646. doi: 10.1109/ LSP.2015.2420652.
    JOHANSSON H and HERMANOWICZ E. Two-rate based low-complexity variable fractional delay FIR filter structures [J]. IEEE Transactions on Circuits and Systems I: Regular Papers, 2013, 60(1): 136-149. doi: 10.1109/TCSI.2012. 2215697.
    DENG Tianbo and SOONTORNWONG P. Delay-error- constrained minimax design of all-pass variable-fractional- delay digital filters[J]. Signal Processing, 2016, 120(C): 438-447. doi: 10.1016/j.sigpro.2015.10.002.
    DENG Tianbo. Coefficient-relation development and low- complexity odd-order variable-fractional-delay filter design[J]. Journal of the Franklin Institute, 2017, 354(2): 1195-1208.
    DENG Tianbo. Design and parallel implementation of FIR digital filters with simultaneously variable magnitude and non-integer phase-delay[J]. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2003, 50(5): 243-250. doi: 10.1109/TCSII.2003.809713.
    DENG Tianbo and LIAN Yong. Weighted-least-squares design of variable fractional-delay FIR filters using coefficient symmetry[J]. IEEE Transactions on Signal Processing, 2006, 54(8): 3023-3038. doi: 10.1109/TSP.2006.875385.
    HUANG Yunda, PEI Soochang, and SHYU Jongjy. WLS design of variable fractional-delay FIR filters using coefficient relationship[J]. IEEE Transactions on Circuits and Systems II: Express Briefs, 2009, 56(3): 220-224. doi: 10.1109/TCSII. 2008.2011598.
    黄翔东, 王兆华. 基于两种对称频率采样的全相位FIR滤波器设计[J]. 电子与信息学报, 2007, 29(2): 478-481.
    HUANG Xiangdong and WANG Zhaohua. All-phase FIR filter design based on two kinds of symmetric frequency sampling[J]. Journal of Electronics Information Technology, 2007, 29(2): 478-481.
    HUANG Xiangdong, JING Senxue, WANG Zhaohua, et al. Closed-form FIR filter design based on convolution window spectrum interpolation[J]. IEEE Transactions on Signal Processing, 2016, 64(5): 1173-1186. doi: 10.1109/TSP.2015. 2494869.
    HUANG Xiangdong, WANG Yuedong, YAN Ziyang, et al. Closed-form FIR filter design with accurately controllable cut-off frequency[J]. Circuits, Systems, and Signal Processing, 2017, 36(2): 721-741. doi: 10.1007/s00034-016-0330-7.
    黄翔东, 韩溢文, 闫子阳, 等. 基于全相位滤波的互素谱分析的高效设计[J]. 系统工程与电子技术, 2017, 39(1): 23-33. doi: 10.3969/j.issn.1001-506X.2017.01.05.
    HUANG Xiangdong, HAN Yiwen, YAN Ziyang, et al. Efficient design of co-prime spectral analysis based on all-phase filtering[J]. Systems Engineering and Electronics, 2017, 39(1): 23-33. doi: 10.3969/j.issn.1001-506X.2017.01.05.
    黄翔东, 王越冬, 靳旭康, 等. 无窗全相位FFT/FFT相位差频移补偿频率估计器[J]. 电子与信息学报, 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041.
    HUANG Xiangdong, WANG Yuedong, JIN Xukang, et al. No-windowed apFFT/FFT phase difference frequency estimator based on frequency-shift compensation[J]. Journal of Electronics Information Technology, 2016, 38(5): 1135-1142. doi: 10.11999/JEIT151041.
    VASEGHI S V. Advanced Digital Signal Processing and Noise Reduction[M]. New York: John Wiley Sons, 2000: 305-306.
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