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Showing 1 to 9 of 9 for “"Hadamard matrix"”.
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Evolution of loosely synchronized spreading codes in code-division multiple-access systems
… LS codes are {O, +1, -1} codes constructed using Hadamard matrices and Golay pairs. A variation of LS codes inserts short strings of zeros between the components of the Golay pairs to increase the number of codewords, with only limited deterioration in the correlations. These strings of zeros are …
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Mutually Unbiased Bases in Low Dimensions
The density matrix of a qudit may be reconstructed with optimal efficiency if the expectation values of a specific set of observables are known. The required observables only exist if it is possible to identify d mutually unbiased (MU) complex (d×d) Hadamard matrices, defining a complete set of d+1 …
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Model Validation and Inversion of Active Implantable Medical Devices
… phantom. Folded orthogonal pathways based on the Hadamard matrix are used in the model development to make the problem of the AIMD model development to be well-conditioned. Both induced voltage and heating models for the example AIMDs were developed to demonstrate the effectiveness of this method. …
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The optimization of multiple antenna broadband wireless communications. A study of propagation, space-time coding and spatial envelope correlation in Multiple Input, Multiple Output radio systems
… it is created by reforming the detection matrix of the original QOSTBC scheme, for which an orthogonal channel matrix is derived. This results in a computationally less complex linear decoding scheme as compared with the original QOSTBC. Space time coding schemes for three, four and eight …
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Error-Correcting Codes Associated With Generalized Hadamard Matrices Over Groups
<p>Classical Hadamard matrices are orthogonal matrices whose elements are ±1. It is well-known that error correcting codes having large minimum distance between codewords can be associated with these Hadamard matrices. Indeed, the success of early Mars deep-space probes was strongly dependent upon …
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Advanced MIMO-OFDM technique for future high speed braodband wireless communications. A study of OFDM design, using wavelet transform, fractional fourier transform, fast fourier transform, doppler effect, space-time coding for multiple input, multiple output wireless communications systems
… follows the construction of cyclic matrices with Hadamard matrix to derive QO-STBC codes construction which are N-times better than interference free QO-STBC, where N is the number of transmit antenna branches.
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Sedenion extension loops and frames of hypercomplex 2[superscript n]-ons
… n-k+1-12 1-122-1 23-1&cdots; 2k-1.;In Chapter 4, Hadamard matrices are discussed. It is shown that the sign matrix of the frame multiplication in the 2n-ons under the Smith-Conway or Cayley-Dickson process is a skew Hadamard matrix. These matrices are shown to be equivalent to Kronecker products …
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Row-column factorial designs and mutually orthogonal frequency rectangles
… + α + 1 ≤ k < 2αb - α, assuming there exists a Hadamard matrix of order 4b. For strength 3 we restrict ourselves to the binary case, solving it completely when q is a power of 2. In Chapter 6, our focus is on mutually orthogonal frequency rectangles (MOFR). We use orthogonal arrays and Hadamard …