TY - JOUR
T1 - Design of multirate FIR digital filters with arbitrary passband
AU - Hirai, Ryoji
AU - Ikehara, Masaaki
AU - Takahashi, Shinichi
PY - 1989
Y1 - 1989
N2 - This paper proposes a new method of con structing the multirate FIR digital filter with arbitrary passband, using real‐coefficient filters for the decimator and interpolator composing the multirate filter. It is already known that the bandpass filter can easily be realized using the complex‐coefficient filter. In such a construction, however, the processing of the analytic signal is required using Hubert transform, which makes the whole system somewhat complex. From such a viewpoint, this paper pre sents a method of constructing the multirate bandpass digital filter using the real‐coefficient filter. Another method is also presented, where the muitirate lowpass filter with arbitrary passband can be constructed by combining the complementary response and a lowpass filter. the multirate method is effective in realizing a narrowband response, but may not be useful in realizing a relatively wideband response. By the proposed method, the latter can easily be realized, drastically reducing the number of multiplications. Similar methods can be applied to highpass and bandstop filters.
AB - This paper proposes a new method of con structing the multirate FIR digital filter with arbitrary passband, using real‐coefficient filters for the decimator and interpolator composing the multirate filter. It is already known that the bandpass filter can easily be realized using the complex‐coefficient filter. In such a construction, however, the processing of the analytic signal is required using Hubert transform, which makes the whole system somewhat complex. From such a viewpoint, this paper pre sents a method of constructing the multirate bandpass digital filter using the real‐coefficient filter. Another method is also presented, where the muitirate lowpass filter with arbitrary passband can be constructed by combining the complementary response and a lowpass filter. the multirate method is effective in realizing a narrowband response, but may not be useful in realizing a relatively wideband response. By the proposed method, the latter can easily be realized, drastically reducing the number of multiplications. Similar methods can be applied to highpass and bandstop filters.
UR - http://www.scopus.com/inward/record.url?scp=0024666923&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0024666923&partnerID=8YFLogxK
U2 - 10.1002/ecjc.4430720510
DO - 10.1002/ecjc.4430720510
M3 - Article
AN - SCOPUS:0024666923
VL - 72
SP - 82
EP - 93
JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
SN - 1042-0967
IS - 5
ER -