Gaussian Mixture Bandpass Filter Design for Narrow Passband Width by Using a FIR Recursive Filter

Yamashita, Yukihiko; Toru Wakahara

doi:10.51094/jxiv.37

##article.authors##

Yamashita, Yukihiko School of Environment and Society, Tokyo Institute of Technology
Toru Wakahara Faculty of Computer and Information Sciences, Hosei University

DOI:

https://doi.org/10.51094/jxiv.37

キーワード:

Gaussian mixture bandpass filter、 sliding Fourier transform、 attenuated sliding Fourier transform、 FIR recursive filter

抄録

Bandpass filters (BPFs) are very important to extract target signals and eliminate noise from the received signals. In this research, we propose a concept of Gaussian mixture BPF (GMBPF) of which impulse response is symmetric. It can be approximately realized using finite impulse response (FIR) recursive filters; hence, its calculation complexity does not depend on the length of the impulse response. The property makes GMBPF ideal for narrow bandpass filtering applications. We conducted experiments to demonstrate the advantages of the proposed GMBPF over FIR filters designed by a MATLAB function with regard to the computational complexity.

ダウンロード *前日までの集計結果を表示します

ダウンロード実績データは、公開の翌日以降に作成されます。

引用文献

R. J. Wenzel, “Solving the approximation problem for narrowband bandpass filters with equal-ripple passband response and arbitrary phase response,” in Proceedings of 1975 IEEE-MTT-S International Microwave Symposium, May 1975, p. 50.

C. Britton Rorabaugh, Digital Filter Designer’s Handbook: Featuring C Routines, McGraw-Hill, Blue Ridge Summit, Pennsylvania, 1993.

K. Martin, “Approximation of complex IIR bandpass filters without arithmetic symmetry,” IEEE Transactions on Circuits and Systems I, vol. 52, no. 4, pp. 794 – 803, April 2005.

E. Domazet, M. Gusev, and S. Ristov, “Optimizing high-performance CUDA DSP filter for ECG signals,” in Proceedings of the 27th International DAAAM Symposium 2016, Oct. 2016, pp. 0623–0632.

J. Gunther, H. Gunther, and T. Moon, “GPU acceleration of dsp for communication receivers,” Proceedings of the GNU Radio Conference, vol. 2, no. 1, pp. 9, 2017.

R. Allred, Digital Filters for Everyone: Third Edition, Creative Arts & Sciences House, Indian Harbour Beach, Florida, 2015.

V. Kober, “Fast algorithms for the computation of sliding discrete sinusoidal transforms,” IEEE Transactions on Signal Processing, vol. 52, no. 6, pp. 1704–1710, Jun. 2004.

E. Elboher and M. Werman, “Cosine integral images for fast spatial and range filtering,” in Proceedings of 2011 18th IEEE International Conference on Image Processing, Sept. 2011, pp. 89–92.

K. Sugimoto and S. Kamata, “Compressive bilateral filtering,” IEEE Transactions on Image Processing, vol. 24, no. 11, pp. 3357–3369, Nov. 2015.

N. Fukushima, Y. Maeda, Y. Kawasaki, M. Nakamura, T. Tsumura, K. Sugimoto, and S. Kamata, “Efficient computational scheduling of box and Gaussian FIR filtering for CPU microarchitecture,” in 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Nov. 2018, pp. 875–879.

T. Yano, K. Sugimoto, Y. Kuroki, and S. Kamata, “Acceleration of Gaussian filter with short window length using DCT-1,” in 2018 Asia-Pacific Signal and Information Processing Association Annual Summit and Conference (APSIPA ASC), Nov. 2018, pp. 129–132.

K. Sugimoto, S. Kyochi, and S. Kamata, “Universal approach for DCT-based constant-time Gaussian filter with moment preservation,” in 2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Apr. 2018, pp. 1498–1502.

Y. Yamashita and T. Wakahara, “Stabilized calculation of Gaussian smoothing and its differentials using attenuated sliding Fourier transform,” in Proceedings of the 25th International Conference on Pattern Recognition, Jan. 2021.

Y. Yamashita and T. Wakahara, “Initial location search method using target region features for region-based image matching,” IEICE Transactions on Information and Systems (Japanese Edition), vol. J103-D, no. 4, pp. 330–340, Apr. 2020.

Y. Yamashita and T. Wakahara, “Morlet wavelet transform using attenuated sliding fourier transform and kernel integral for graphic processing unit,” 2021, https://arxiv.org/abs/2110.11866v2.

D. Gabor, “Theory of communication. part 1: The analysis of information,” Journal of Institution of Electrical Engineers, vol. 93, no. 3, pp. 429–457, 1946.

G. Capizzi, S. Coco, G. L. Sciuto, and C. Napoli, “A new iterative fir filter design approach using a Gaussian

approximation,” IEEE Signal Processing Letters, vol. 25, no. 11, pp. 1615–1619, Aug. 2018.

G. Capizzi and G. Lo Sciuto, “A novel 2-d fir filter design methodology based on a Gaussian-based approximation,”

IEEE Signal Processing Letters, vol. 26, no. 2, pp. 1–1, Jan. 2019.