The solution to this optimization problem is generally referred to as minimum variance distortionless
response (MVDR) beamformer.
Hence, a distortionless
transmission system must have a constant amplitude response and a phase response that declines linearly with frequency f.
Silica gel column chromatography, sephadex gel column chromatography, octadecyl silane (ODS) C18 reverse phase silica gel column chromatography, and middle chromatogram isolated (MCI) column chromatography were repeatedly used to separate and purify the compounds.[sup], After obtaining the monomers, hydrogen-1 nuclear magnetic resonance (NMR), carbon-13-NMR, and distortionless
enhancement by polarization transfer magnetic resonance spectroscopy (JEOL Ltd., Japan) were used for structural characterization of all compounds [Figure 1].
It is easy to obtain the optimal weight vector by means of the distortionless
response toward the desired signal and maximizing the output SINR.
The MVDR beamformer not only minimizes the array output power but also maintains a distortionless
main lobe response toward the desired signal.
In order for LSCMA to provide improved performance, the updating weight vector subject to the constraints of distortionless
array response is derived by the partial Taylor-series expansion and Lagrange multiplier method, in which the multipliers can be optimally derived and incorporated at each step.
Response (MVDR)  is used here for the computation of the ABA response.
Enhancement by Polarization Transfer (DEPT) and Heteronuclear Multiple-Quantum Coherence (HMQC), a two-dimensional technique, were also used to assist in the assignment of [.sup.13]C peaks.
The key advantages of MIMO are exploited to obtain a reliable distortionless
Adaptive beamforming and high resolution direction-of-arrival (DOA) estimation algorithms have received much attention in the past a few decades, and among which, the minimum variance distortionless
response (MVDR)  and multiple signal classification (MUSIC) algorithm  are the most popular two techniques.
Identification of the peaks was accomplished using control experiments, distortionless
enhancement by polarization transfer (DEPT) experiments, comparison of peak intensities, and comparison to predicted shifts.
(1) The requirement for distortionless
transmission through a linear time invariant system is a flat amplitude response and a linear phase response.