The complex Householder transform

Authors:
Kuo-Liang Chung;Wen-Ming Yan
Affiliations:
Dept. of Inf. Manage., Nat. Taiwan Inst. of Technol., Taipei;-
Venue:
IEEE Transactions on Signal Processing
Year:
1997

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Abstract

The Householder (1968) transform is very useful in matrix computations and signal processing. A straightforward derivation for a complex Householder transform is given. It needs fewer complex operations when compared with the previous results by Venkaiah et al. (1993) and Xia and Suter (see Digital Signal Process., vol.5, p.116-17, 1995). We also investigate applying our result to the derivation of a hyperbolic Householder transform