Conditions (2.12) and (2.35) improve the non-iterative conditions that are listed in the introduction, namely conditions (1.7), (1.10) and (1.22), respectively.
Hu et al. [19] proposed a reconstruction method that the pre-scan CT images or analytic reconstruction images were used as the iterative initial conditions to improve the speed of TV constraint reconstruction.
The conditional SNR of the iterative detection, conditioned on the channel coefficients, is the summation of the SNR of the two independent signals, as follows: γ = α ( k ) + 1 N ∑ n = 1 N α ( k + n ) b ( k ) 2 ℰ { | v ( k ) | 2 } (1) = E b N 0 α ( k ) + 1 N ∑ n = 1 N α ( k + n ) (2) = γ 1 + γ 2. (3) (4) (2.).
Furthermore, the iterative stopping condition is simplified by counting the number D i) of the event where the sign of the information sequence is different in two adjacent iterations.
Under the given PE conditions, iterative and recursive algorithms are developed to estimate the original continuous-time system parameters.
In Section 3, by means of an iterative technique, sufficient conditions are derived for the global stability of the coexistence equilibrium of system (1.2).
The projection data under under different signal-to-noise ratios 20dB and 40dB is shown in Fig. 2. The selected sparse wavelet transform is db20 wavelet, and the decomposition level is 2. The iterative algorithm termination condition is ( {leftVert {mathbf{x}}_{k+1}-{mathbf{x}}_krightVert}_2^2/{leftVert {mathbf{x}}_{k+1}rightVert}_2^2le 2times {10}^{-6} ).
For all six starting conditions, the iterative version outperforms the non-iterative, and the difference is largest when the starting condition has the least number of terms used in training (i.e. starting condition #1, #2), and can be as many as 1000 terms.
To conform to these particular conditions, an iterative identification method was developed.
We also prove the convergence of the proposed iterative methods under weaker conditions.
