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is a unit matrix.
I is a unit matrix with appropriate dimensions.
Where necessary, we do this using a unit matrix.
By the assumption, is a nonsingular matrix, where is a unit matrix.
The output matrix C is a unit matrix with a dimension of 6 × 6.
If there is no phase change point in the BPSK modulation matrix, D B will become a unit matrix.
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Remark 3.2 If we set D is an unit matrix, then to find x ∈ C with A x ∈ Q, the problem in Definition 3.1 is transformed into SFP.
(1.5). is the matrix exponential (throughout this paper, stands for an unit matrix).
where M ∈ R 13 × 13 is a degenerated unit matrix with a zero entry in the last diagonal element.
where F −1 is the inverse Fourier transform matrix, I P is a P×P unit matrix, χ is a K-sparse (PM -dimensional vector, and ⊗ is the right Kronecker PM -dimensionalmatrices.
The log spectrum L f) is then obtained by: begin{aligned} L f) = mathrm{log}[A(f)] end{aligned} (3)The average spectrum can be approximated by convoluting the log spectrum with a matrix (h_n(f)): begin{aligned} A_{s}(f) = h_{n}(f)*L f) end{aligned} (4 where (h_n(f)) is a nxn unit matrix with all entries equal to (1/n^2).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com