# DESIGN OF LOW DELAY BANDPASS FIR FILTERS WITH MAXIMALLY FLAT CHARACTERISTICS IN THE PASSBAND AND THE TRANSMISSION ZEROS IN THE STOPBAND

### Yukio Mori, Naoyuki Aikawa

#### Abstract

The large group delay of the high order FIR filters is unacceptable in some applications. Therefore, recently, how to reduce the group delay of FIR filters has been studied intensively. To reduce the ringing in the time domain and to maximize the stopband attenuation, it is useful to design FIR filters with maximally flat characteristics in the passband and transmission zeros in the stopband. We present a mathematically closed form transfer function of low delay bandpass FIR filters with maximally flat amplitude in the passband and the transmission zeros in the stopband. Because of the mathematically closed form transfer function, the designing ters are very simple. Moreover, we propose a design method of low delay bandpass FIR filters with maximally flat amplitude in the passband and equiripple in the stopband by using an iterative method of a closed form transfer function and Remez algorithm.

#### References

- Aikawa, N. and Sato, M. (2000). Designing linear phase r digital lters with at passband and equiripple etopband charac-teristics. IEICE Trans., J83-A(6):744- 749.
- Fukae, S., Aikawa, N., and Sato, M. (1997). Complex chebyshev approximation using successive projections method. IEICE Trans., J80-A(7):1192-1196.
- Herrmann, O. (1971). On the approximation problem in non-recursive digital lter design. IEEE Trans. Circuit Theory, CT-18(9):441-413.
- Karm, L. J. and McClellan, J. H. (1995). Complex chebyshev approximation for r lter design. IEEE Trans. Circuits and Systems, CAS-42(4):207-244.
- McClellan, J. H., Parks, T. W., and Rabiner, L. R. (1973). Computer program for designing optimum r linear phase digital lters. IEEE Trans. Audio and Electroacoustics, AU-21(6):506-526.
- Ogata, A., Aikawa, N., and Sato, M. (2000). A design method of low delay bandpass lters. In ISCAS2000. ISCAS Press.
- Samadi, S., Nishihara, A., and Iwakura, H. (2000). Universal maximally at low-pass r systems,. IEEE Trans. Signal Processing, 48(7):1956-1964.
- Selesnick, I. W. and Burrus, C. S. (1996). Exchange algorithms for the design of liner phase r lters and differentiators having at monotonic passbands and equiripple stopbands. IEEE Trans. Circuits and SystemsU, CAS-43(9):671-675.
- Selesnick, I. W. and Burrus, C. S. (1998). Maximally at low-pass r lters with reduced delay. IEEE Trans. Circuits and SystemsU, CAS-45(1):53-68.

#### Paper Citation

#### in Harvard Style

Mori Y. and Aikawa N. (2004). **DESIGN OF LOW DELAY BANDPASS FIR FILTERS WITH MAXIMALLY FLAT CHARACTERISTICS IN THE PASSBAND AND THE TRANSMISSION ZEROS IN THE STOPBAND** . In *Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,* ISBN 972-8865-12-0, pages 208-213. DOI: 10.5220/0001131202080213

#### in Bibtex Style

@conference{icinco04,

author={Yukio Mori and Naoyuki Aikawa},

title={DESIGN OF LOW DELAY BANDPASS FIR FILTERS WITH MAXIMALLY FLAT CHARACTERISTICS IN THE PASSBAND AND THE TRANSMISSION ZEROS IN THE STOPBAND},

booktitle={Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,},

year={2004},

pages={208-213},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0001131202080213},

isbn={972-8865-12-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the First International Conference on Informatics in Control, Automation and Robotics - Volume 3: ICINCO,

TI - DESIGN OF LOW DELAY BANDPASS FIR FILTERS WITH MAXIMALLY FLAT CHARACTERISTICS IN THE PASSBAND AND THE TRANSMISSION ZEROS IN THE STOPBAND

SN - 972-8865-12-0

AU - Mori Y.

AU - Aikawa N.

PY - 2004

SP - 208

EP - 213

DO - 10.5220/0001131202080213