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We first notice a DFT matrix since it meets the second constraint and notably its column-reduced form constructs a transmit null at a certain direction angle ϕ relative to the array broadside (see Figure 2a), which is further expected to satisfy the first constraint using null steering from ϕ to ϕ ̂ (see Figure 2b).
In all other results shown in this paper, we have employed the Bernoulli sampling matrix since it resulted in the lowest error and due to its low storage requirements and simple construction method.
The nail bed has often been called sterile matrix, since it adds little or nothing to the nail plate.
The noncontinuous collection of noise data introduces inaccuracies in the noise correlation matrix since it is estimated only in limited periods of time in the entire signal waveform.
For the Spectral curve, G W 8 is used as the precoding matrix since it outperformed the other available precoding matrix G V 8 in our simulation.
Moreover, [J]2 is a circulant block-wise matrix since it can be written as J 2 2 = α ∗ I 2 + β ∗ P 2 = α β β α. (24).
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The Stetter Möller matrix method yields such a set of real non-symmetric commuting matrices since it reformulates the optimization problem as an eigenvalue problem.
The use of a mass spectrometer detector enables sample preparation to be minimized and also increases the sensitivity of the method in the analysis of complex sample matrices, since it can be used for either selected ion monitoring or multiple reaction monitoring to detect only the desired ions produced by the analytes.
where rank stands for the rank of matrix and λ balances the rank of the signal matrix S and the ℓ0-norm of the noise matrix N. Since it is hard to find the solution of (6), some relaxations are made to simplify it.
Fortunately, the above issue can be alleviated by utilizing a deterministic matrix F since it can be constructed and stored in FC beforehand and its transmission becomes unnecessary.
Fortunately, it is not necessary to calculate this Hessian matrix explicitly since it can be approximated at each major iteration using a quasi Newton updating method, where the Hessian matrix is estimated using the information specified by gradient evaluations.
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CEO of Professional Science Editing for Scientists @ prosciediting.com