• Title/Summary/Keyword: N-transform

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DFT FOR CYCLIC CODE OVER $F_p + uF_p +... + u^{k-l}F_p$

  • Qian Jian-Fa;Zhang Li-Na;Zhu Shi-Xin
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.159-167
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    • 2006

  • The transform domain characterization of cyclic codes over finite fields using Discrete Fourier Transform(DFT) over an appropriate extension field is well known. In this paper, we extend this transform domain characterization for cyclic codes over $F_p + uF_p +... + u^{k-l}F_p$. We give a way to characterize cyclic codes over $F_p + uF_p +... + u^{k-l}F_p$ by Mattson-Solomon polynomials and multiple defining sets.

Efficient Design of 2-D FIR Fan Filters Using Formulas for MaClellan Transform Parameters (새로운 맥클레란변환 계수 공식을 이용한 2차원 Fan 유한응답여파기의 효율적 설계)

  • 송영석;이용훈
    • Proceedings of the Korean Society of Broadcast Engineers Conference
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    • 1995.06a
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    • pp.155-157
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    • 1995

  • New formulas for McClellan transform parameters for the design of 2-D Zero-phase FIR fan filters are optimally derived under the integral squared error(ISE) criterion. By imposing the constraint that F(0,0)=coswc, where F($.$) is the McClellan transform and w is the cutoff frequency of the 1-D prototype filter, the ISE is directly minimized without modifying it and, as a consequence, closed-form formulas for the McClellan transform parameters are obtained. It is shows that these formulas lead to a very efficient design for 2-D zero-phase FIR fan filters.