# Items where Author is "Sangwine, Stephen J"

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**14**.

## Article

Sangwine, Stephen J and Hitzer, Eckhard (2020) 'Polar decomposition of complexified quaternions and octonions.' Advances in Applied Clifford Algebras, 30 (2). ISSN 0188-7009

Yasmin, Shagufta and Sangwine, Stephen J (2018) 'Multi-directional colour edge detector using linear quaternion system convolution.' IET Image Processing, 12 (7). pp. 1111-1116. ISSN 1751-9659

Sangwine, Stephen J and Hitzer, Eckhard (2017) 'Clifford Multivector Toolbox (for MATLAB).' Advances in Applied Clifford Algebras, 27 (1). pp. 539-558. ISSN 0188-7009

Sangwine, Stephen J (2017) 'On harmonic analysis of vector-valued signals.' Mathematical Methods in the Applied Sciences, 40 (1). pp. 22-30. ISSN 0170-4214

Sangwine, Stephen J (2015) 'Comments on ‘A structure-preserving method for the quaternion LU decomposition in quaternionic quantum theory’ by Minghui Wang and Wenhao Ma.' Computer Physics Communications, 188. pp. 128-130. ISSN 0010-4655

Le Bihan, Nicolas and Sangwine, Stephen J and Ell, Todd A (2014) 'Instantaneous frequency and amplitude of orthocomplex modulated signals based on quaternion Fourier transform.' Signal Processing, 94 (1). pp. 308-318. ISSN 0165-1684

Sangwine, Stephen J and Ell, Todd A (2012) 'Complex and hypercomplex discrete Fourier transforms based on matrix exponential form of Euler’s formula.' Applied Mathematics and Computation, 219 (2). pp. 644-655. ISSN 0096-3003

Sangwine, Stephen J and Ell, Todd A and Le Bihan, Nicolas (2011) 'Fundamental Representations and Algebraic Properties of Biquaternions or Complexified Quaternions.' Advances in Applied Clifford Algebras, 21 (3). pp. 607-636. ISSN 0188-7009

Sangwine, Stephen J and Alfsmann, Daniel (2010) 'Determination of the Biquaternion Divisors of Zero, Including the Idempotents and Nilpotents.' Advances in Applied Clifford Algebras, 20 (2). pp. 401-410. ISSN 0188-7009

Sangwine, Stephen J and Bihan, Nicolas Le (2010) 'Quaternion Polar Representation with a Complex Modulus and Complex Argument Inspired by the Cayley-Dickson Form.' Advances in Applied Clifford Algebras, 20 (1). pp. 111-120. ISSN 0188-7009

Ell, Todd A and Sangwine, Stephen J (2007) 'Quaternion involutions and anti-involutions.' Computers & Mathematics with Applications, 53 (1). pp. 137-143. ISSN 0898-1221

## Monograph

Sangwine, Stephen J (2015) Octonion associators. Working Paper. arXiv. (Unpublished)

## Conference or Workshop Item

Bihan, Nicolas Le and Sangwine, Stephen J (2013) Quaternionic Spectral Analysis of Non-Stationary Improper Complex Signals. In: UNSPECIFIED, ? - ?.

## Book

Ell, Todd A and Bihan, Nicolas Le and Sangwine, Stephen J (2014) Quaternion Fourier Transforms for Signal and Image Processing. John Wiley & Sons, Inc., pp. 1-136.