| Project/Area Number |
60550241
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
電子通信系統工学
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| Research Institution | Research Institute of Applied Electricity, Hokkaido University |
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Principal Investigator |
NAGAI Nobuo Res. Inst. Appl. Electr., Hokkaido Unov., 応用電気研究所, 教授 (80001692)
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| Co-Investigator(Kenkyū-buntansha) |
MIYANAGA Yoshikazu Faculty of Engineering, Hokkaido Univ., 工学部, 講師 (20166185)
ONO Koujiro Res. Inst. Appl. Electr., Hokkaido Univ., 応用電気研究所, 助手 (00001686)
MIKI Nobuhiro Res. Inst. Appl. Electr., Hokkaido Univ., 応用電気研究所, 助教授 (30002314)
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| Project Period (FY) |
1985 – 1987
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| Project Status |
Completed (Fiscal Year 1987)
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| Budget Amount *help |
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1987: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1986: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1985: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | Digital Filter / Linear Prediction Theory / Fast Algorithm / Transfer Function / Adaptive Digital Signal Processing / 伝達関数 / スペクトル推定 / 分布定数回路 / 回路網合成 |
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| Research Abstract |
1. For the input and output signals of a stochastic process system, the transfer function is obtained by spectrum estimation or linear prediction. In this reseearch, we have developed Model Identification System (MIS) to estimate time varying parameters of ARMA model with an adaptive method. MIS is characterized by orthogonal relationships among prediction errors, new criterion for an approximation and a stability discrimination obtained by normalizing the prediction errors. By these properties, we can easily design the ARMA digital lattice filter with an arebitrary AR order and an arbitrary MA order. We also have proposed an algorithm possible of parallel processing for AR and ARMA modeling. By the algorithm, we can synthesize ARMA digital lattice filter faster.
2. We apple the circuit theory for the synthesis of ARMA digital lattice filter which is suitable for adaptive digital signal processing. That is, we have shown that the distributed-constant circuit, which is an analog circuit, is equivalent to the Wave Digital Filter, and that they are equivalent to ARMA digital lattice filter. By the equivalence, we have denoted the synthesis method of ARMA digital lattice filters which match to the given inpulse responses and autocorrelation coefficients, or which are approximated with the least square algorithm.
3. We consider the properties of a complex coefficient circuit by using the equivalent relation between the analog circuit and the digital circuit. In synthesizing the analog and digital circuits with the scattering matrix, we use reflection coefficients. There are two kinds of reflection coefficients for the complex circuit, i.e. equal matching and conjugate matching ones. We have introduced a pseudo-transmission-line suitable for the conjugate matching, and we show that the passive complex transfer function can be synthesized with the Darlington synthesis by using the pseudo-transmission-lines.
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