A Method of Approximating Characteristics of Linear Phase Filters Utilizing Interpolation Technique in Combination with LMS Method (Special Section on JTC-CSCC '92)
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概要
- 論文の詳細を見る
The approximation of the gain characteristics of linear phase FIR digital filters is reduced to the approximation by cosine polynomials. Therefore we can easily obtain an optimum solution under the LMS or Chebyshev error criterion. However the optimum solution does not always meet practical specifications, especially in the case where the gain is specified strictly at some angular frequencies. On the other hand, in such a case, it is known that interpolation technique can be suitably applied for the approximation mentioned above. However, in this case, we encounter another difficulty in the approximation caused by interpolation. In order to overcome the above difficulty, this paper proposes a new method utilizing both of the interpolation and LMS techniques. Some parameters included in approximating functions are used to satisfy prescribed interpolating conditions and the other parameters are used to minimize the approximation error under the LMS criterion. In addition, interpolation technique is extended to include the case in which also higher derivatives are taken into interpolation conditions to make smooth interpolation. An example is shown to illustrate the effectiveness of the proposed method.
- 一般社団法人電子情報通信学会の論文
- 1993-06-25
著者
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Koga Tosiro
The Faculty Of Engineering Kurume Institute Of Technology
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Koga Tosiro
The Faculty Of Engineering Kushu University
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Suhara Yoshiro
the Faculty of Engineering, Kyushu University
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Madachi Takashi
Kitakyushu National College of Technology
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Suhara Yoshiro
The Faculty Of Engineering Kushu University
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- Synthesis of Lienard's Equations Having More than One Periodic Solution (Special Section on JTC-CSCC '92)
- A Method of Designing IIR Digital Filters by means of Interpolation Taking Account of Transition Band Characteristics
- A Method of Approximating Characteristics of Linear Phase Filters Utilizing Interpolation Technique in Combination with LMS Method (Special Section on JTC-CSCC '92)