Skip to main content

Table 6 Stability bounds of the SR-NSAF and MSR-NSAF for different values of N

From: A low computational complexity normalized subband adaptive filter algorithm employing signed regressor of input signal

Algorithm

\( \frac{2}{\lambda_{\mathrm{max}}\left(E\left\{\operatorname{sgn}\left[\mathbf{X}(k)\mathbf{F}\right]\mathbf{W}(k){\mathbf{F}}^T{\mathbf{X}}^T(k)\right\}\right)} \)

\( \frac{1}{\lambda_{\mathrm{max}}\left({\mathbf{M}}^{-1}\mathbf{N}\right)} \)

\( \frac{1}{\max \left(\lambda \left(\mathbf{H}\right)\in {\mathrm{\Re}}^{+}\right)} \)

μ max

SR-NSAF (N = 2)

5.7899

1.3786

4.5400

1.3786

SR-NSAF (N = 4)

5.1303

1.3768

4.2693

1.3768

SR-NSAF (N = 8)

4.2324

1.3704

3.9672

1.3704

MSR-NSAF (N = 2)

7.4337

1.6387

5.2346

1.6387

MSR-NSAF (N = 4)

6.4078

1.6355

4.7916

1.6355

MSR-NSAF (N = 8)

4.9383

1.6302

4.1312

1.6302