کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6957593 1451919 2018 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Simultaneous diagonalisation of the covariance and complementary covariance matrices in quaternion widely linear signal processing
ترجمه فارسی عنوان
تکه شدن همزمان ماتریس کوواریانس و کواریانس مکمل در پردازش سیگنال خطی به طور کلی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
چکیده انگلیسی
Recent developments in quaternion-valued widely linear processing have established that the exploitation of complete second-order statistics requires consideration of both the standard covariance and the three complementary covariance matrices. Although such matrices have a tremendous amount of structure and their decomposition is a powerful tool in a variety of applications, the non-commutative nature of the quaternion product has been prohibitive to the development of quaternion uncorrelating transforms. To this end, we introduce novel techniques for a simultaneous decomposition of the covariance and complementary covariance matrices in the quaternion domain, whereby the quaternion version of the Takagi factorisation is explored to diagonalise symmetric quaternion-valued matrices. This gives new insights into the quaternion uncorrelating transform (QUT) and forms a basis for the proposed quaternion approximate uncorrelating transform (QAUT) which simultaneously diagonalises all four covariance matrices associated with improper quaternion signals. The effectiveness of the proposed uncorrelating transforms is validated by simulations on both synthetic and real-world quaternion-valued signals.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Signal Processing - Volume 148, July 2018, Pages 193-204
نویسندگان
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