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This is greater than with the S-MMSE detector, which after similar matrix algebra requires the inversion of a K-dimensional matrix, and thus, (frac {3}{2} K^{2} M) complex multiplications are required.4 In summary, the increased complexity compared to S-MMSE is about (frac {3}{2} left (beta ^{2}-1right)K^{2} M) complex multiplications.
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Actually calculating the derivatives requires advanced matrix algebra (see Pazman 1986).
The majority of the statistical models used are special cases of the general linear model, which requires some basic matrix algebra and statistical concepts.
The book requires some knowledge of matrix algebra.
This book is self-contained in the sense that it requires merely basic knowledge of matrix algebra, signals and systems, and statistics.
The other sensitivity analysis presented in Subsection 1.1 requires a firm understanding of matrix algebra, does not yield fast or easy solutions, and is not supported by any software package.
The students required some basic background information from matrix algebra and combinatorial analysis.
Geometric algebra is the largest possible associative algebra that integrates all algebraic systems (algebra of complex numbers, matrix algebra, quaternion algebra, etc).
The mathematical content of the modules is appropriate for a variety of mathematics courses (in increasing level of difficulty) outside of the calculus-based sequences, including discrete mathematics, elementary linear algebra, elementary probability, applied matrix algebra, mathematical modeling, linear algebra, computational algebra and algebraic geometry, abstract algebra, and others.
Simple matrix algebra makes the method an efficient alternative to other techniques based on distance threshold that generally require a priori information on the explored environment.
Recommended: matrix algebra.
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