高维空间上连续分片线性函数的绝对值表示
被引量:1
摘要
高维空间上连续分片线性函数的绝对值表示是一个一直没有能很好解决的问题.在一维空间上连续分片线性函数的绝对值表示基础之上,采用递推的方法,给出了高维空间上连续分片线性函数的绝对值表示;同时证明了该绝对值表示对所有高维空间上连续分片线性函数有效.
基金
国家自然科学基金(批准号:69974023和69934010)
参考文献6
-
1[1]Kang S M,et al.A global representation of multidimensional piece-wise linear functions with linear partitions.IEEE Trans,Circuits Syst,1978,25:938
-
2[2]Kahlert C,et al.A generalized canonical piecewise linear representa-tion.IEEE Trans,Circuits Syst,1990,37:373
-
3[3]Lin J N,et al.A generalization of canonical piecewise-linear func-tions.IEEE Trans,Circuits Syst,1994,41:345
-
4[4]Guzelis G,et al.A canonical representation for piecewise affine maps and its applications to circuit analysis.IEEE Trans,Circuits Syst,1991,38:1342
-
5[5]Breiman L.Hinging hyperplanes for regression,classification and function approximation.IEEE Trans,Inf Theory,1993,39(3):999
-
6[6]Lin J N,et al.Canonical piecewise-linear approximations.IEEE Trans,Circuits Syst,1992,39:697
同被引文献10
-
1Anding Z, Draxler P J, Yan J J, et al.Open-loop digital predistorter for RF power amplifiers using dynamic deviation reduction-based volterra series[J].IEEE Transactions on Microwave Theory and Techniques,2008,56(7) : 1524-1534.
-
2Kim J, Konstantinou K.Digital predistortion of wideband signals based on power amplifier model with memory[J].Electronics Letters,2001,37(23) : 1417-1418.
-
3Isaksson M, Wisell D, Ronnow D.A comparative analysis of behavioral models for RF power amplifiers[J].IEEE Transactions on Microwave Theory and Techniques,2006,54( 1 ):348-359.
-
4Tchrani A S, Haiying C,Afsardoost S, et al.A comparative analysis of the complexity/accuracy tradeoff in power amplifier behavioral models[J].IEEE Transactions on Microwave Theory and Techniques, 2010,58(6) : 1510-1520.
-
5Liu T, Boumaiza S, Gharmouchi F M.Augmented hammerstein predistorter for linearization of broad-band wireless transmitters[J]. IEEE Transactions on Microwave Theory and Techniques, 2006, 54(4) : 1340-1349.
-
6Julian P,Desages A,Agamennoni O.High-level canonical piecewise linear representation using a simplicial partition[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications, 1999,46 (4) : 463 -480.
-
7Lin J N,Unbehauen R.Adaptive nonlinear digital filter with canonical piecewise-linear strucmre[J].IEEE Transactions on Circuits and Systems, 1990,37(3) :347-353.
-
8Figueroa J L, Cousseau J E,de Figueiredo R J EA simplicial canonical piecewise linear adaptive filter[J].Circuits, Systems, and Signal Processing,2004,23(5) :365-386.
-
9Cheong M Y,Wemer S,Cousseau J E,et al.Spectral characteristics of a piecewise linear function in modeling power amplifier type nonlinearities[C]//2010 IEEE 21st International Symposium on Personal Indoor and Mobile Radio Communications (PIMRC),26-30 Sept 2010:639-644.
-
10Ding L, Zhou G T, Morgan D R, et al.A robust digital baseband predistorter constructed using memory polynomials[J].IEEE Transactions on Communications,2004,52( 1 ) : 159-165.
-
1单友健.例析解绝对值题的几种方法[J].数理化解题研究(初中版),2009(12):13-14.
-
2周漠康.常见错误解读[J].初中数学辅导(初中版),2012(9):23-23.
-
3章浩,王书宁.基于超立方体分割的分片线性逼近[J].清华大学学报(自然科学版),2008,48(1):153-156. 被引量:4
-
4王书宁.格分片线性函数的辨识和优化[J].清华大学学报(自然科学版),2003,43(4):548-552.
-
5李星野,王书宁,王万宾.二维连续分片线性绝对值模型[J].清华大学学报(自然科学版),2002,42(9):1233-1236.