However, this paper shows that for a suitable given truncated order, the two-block ℓ1 suboptimal design is continuous as a map from the plant to the suboptimal closed loop solution, if the plant has no zeros on the unit circle and has a unique suboptimal solution.
Hence, in order to obtain good estimate accuracy, a reasonable criterion to determine the truncated degree L could be Figure 3 The estimated MSE and the approximated MSE for different truncated order and degree versus different elevation angle: (a) MSE and CRB for azimuth angle and (b) MSE and CRB for elevation angle.
With the estimated coefficients, a sparse set of plane waves can then be recovered using CS by requiring that the truncated order is sufficiently high.
n means the approximate solution's truncated order.
The rule to select the truncated order or degree will be discussed in Section 5.
In the neighborhood of these points, oscillations of the truncated order solution, recalling the classical Gibbs phenomenon, usually take place.
We assume that the truncated order is M and truncated degree is L for the first and second kinds of decomposition, respectively.
In the neighborhood of these points, oscillations of the truncated order solution, recalling the classical Gibbs phenomenon, usually take place (see Figure 6).
It seems like that the azimuth estimate accuracy does not increase when the truncated order M increase in the whole elevation angle range.
Hence, the truncated order M can be M = k r. Figure 3b presents the estimated MSE and the approximated MSE computed from Equation (62) with different L for the elevation estimation.
A truncated Pth-order Volterra filter is composed of P kernels, each corresponding to a certain order of polynomial nonlinearity [1].
