Complex-valued Random Fourier Geometric Algebra Adaptive Filtering

2022 ◽  
pp. 1-1
Author(s):  
Gangyi Huang ◽  
Minglin Shen ◽  
Dongyuan Lin ◽  
Letian Qi ◽  
Junhui Qian ◽  
...  
Keyword(s):  
Adaptive Filtering ◽  
Geometric Algebra ◽  
Complex Valued

A fast complex-valued adaptive filtering algorithm

2002 ◽  
Vol 31 (4) ◽  
pp. 395-403 ◽  
Author(s):  
Chunguang Li ◽  
Xiaofeng Liao ◽  
Juebang Yu
Keyword(s):  
Adaptive Filtering ◽  
Filtering Algorithm ◽  
Complex Valued

Widely Linear Estimation with Geometric Algebra

2013 ◽  
pp. 293-308
Author(s):  
Tohru Nitta
Keyword(s):  
Geometric Algebra ◽  
High Dimensional ◽  
Complex Conjugate ◽  
Complex Numbers ◽  
Linear Estimation ◽  
Higher Dimensional ◽  
Dimensional Parameters ◽  
Geometric Algebras ◽  
Widely Linear ◽  
Complex Valued

This chapter reviews the widely linear estimation for complex numbers, quaternions, and geometric algebras (or Clifford algebras) and their application examples. It was proved effective mathematically to add , the complex conjugate number of , as an explanatory variable in estimation of complex-valued data in 1995. Thereafter, the technique has been extended to higher-dimensional algebras. The widely linear estimation improves the accuracy and the efficiency of estimation, then expands the scalability of the estimation framework, and is applicable and useful for many fields including neural computing with high-dimensional parameters.

scholarly journals A Normalized Adaptive Filtering Algorithm Based On Geometric Algebra

IEEE Access ◽  
2020 ◽  
pp. 1-1
Author(s):  
Rui Wang ◽  
Meixiang Liang ◽  
Yinmei He ◽  
Xiangyang Wang ◽  
Wenming Cao
Keyword(s):  
Adaptive Filtering ◽  
Geometric Algebra ◽  
Filtering Algorithm

scholarly journals Collaborative Adaptive Filtering Approach for the Identification of Complex-Valued Improper Signals

2019 ◽  
Vol 38 (8) ◽  
pp. 3860-3879 ◽  
Author(s):  
Chukwuemena Cyprian Amadi ◽  
Bukhari Ujang ◽  
A. Sali ◽  
Fazirulhisyam Hashim
Keyword(s):  
Adaptive Filtering ◽  
Complex Valued ◽  
Filtering Approach

scholarly journals A Novel Least-Mean Kurtosis Adaptive Filtering Algorithm Based on Geometric Algebra

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 78298-78310 ◽  
Author(s):  
Rui Wang ◽  
Yinmei He ◽  
Chenyang Huang ◽  
Xiangyang Wang ◽  
Wenming Cao
Keyword(s):  
Adaptive Filtering ◽  
Geometric Algebra ◽  
Filtering Algorithm
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