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A Problem on Mersenne Transform Over 被引量：3

A Problem on Mersenne Transform Over
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作者 刘亮 孙琦
机构地区 Department of Mathematics Department of Mathematics
出处 《数学进展》 CSCD 北大核心 2004年第4期502-504,共3页 Advances in Mathematics（China）
基金 This project supported by the National Natural Science Foundation of China(No.10128103)
关键词 傅里叶变换 复变向量 复数域 运算法则 Mersenne变换
分类号 O174.5 [理学—基础数学]
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参考文献8

  • 1Moshe S, Hertz D.On computing DFT of real N-poin t vector and IDFT of DFT-Transformed real N-point vector via single DFT [J]. IEEE Signal Processing Letters, 1999, 6(6): 141.
  • 2Sun Qi, Re Debin, Tang Yuan-yan. Computation of two k-D DFT's by a single k-DFT [J]. J. of Sichuan University, 2002.39(6): 982-985.
  • 3Ireland K, Rosen M. A classical Introduction to Modern Number Theory [M]. Graduate Texts in Mathematics Vo1. 84, Springer-Verlag Berlin/NewYork, 1981.
  • 4Rader C M. Discrete convoplution via Mersenne Transforms[J]. IEEE Trans., Comput., 1972, 21: 1269-1273.
  • 5Sun Qi, Jsen Tehsuen, Shen Chongqi. Fast Number Theory Transforms [M]. Science Press, Beijing: 1980.
  • 6Reed I S, Truong T K. Convolutions over residue classes of quadratic integers[J]. IEEE Trans, Inform.Theory, 1976, 22: 468-475.
  • 7Nussbaumer H J. Fast Fourier Transform and convolution Algorithms [M]. Springer, Berlin, Heidelberg, New York, 1981.
  • 8Cooley J W, Tukey J W. An algorithm for machine computation of complex Fourier series [J]. Mathematics of Computation,1965,19:297-301.

同被引文献16

  • 1袁宏,陈华富,尧德中.A New General Linear Convolution Model for fMRI Data Process[J].Journal of Electronic Science and Technology of China,2005,3(1):68-71. 被引量：1
  • 2Smith W W, Smith J M. Handbook of real-time fast fourier transform [M]. Piscataway, N J: IEEE Press, 1995.
  • 3Moshe S, Hertz D. On computing DFT oI real N- point vector and IDFT of DFT-transformed real-point vector via single DFT[J]. IEEE Signal Processing Letters, 1999, 6(6):141.
  • 4Gunther J H. Simultaneous DFT and IDFT of real-point sequences [J]. IEEE Signal Processing Letters, 2002, 9(8) :245-246.
  • 5Gasquet C, Ryan R D, Witomski P. Fourier analysis and applications [M].广州:世界图书出版公司,1998.
  • 6胡广书.数字信号处理[M].北京:清华大学出版社,2003..
  • 7蒋长锦,蒋勇.快速傅立叶交换及其C程序[M].合肥:中国科学技术大学出版社,2004.
  • 8Smith W W, Smith .I M. Handbook of real-time fast fourier transform [M]. Piscataway, NJ: IEEE Press, 1995.
  • 9Moshe S, Hertz D. On computing DFT of real N-point veetor and IDFT of DFT-transformed real N-point vector via single DFT [ J ]. IEEE Signal Processing Letters, 1999, 6 (6) :141 - 143.
  • 10Sun Qi, Tang Yuanyan. Some new explicit formulas for computing 2-D DFT of a real matrix and IDFT of 2-D DFT of another real matrix by a single 2-D DFT and their applications [ J]. Journal of Sichuan University:Natural Science Edition, 2000, 37(6) :819 -828.

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数学进展
2004年 第4期

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