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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