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This paper studies the statistical models of the noise-robust normalizedsubband adaptive filter (NR-NSAF) algorithm in the mean and mean squaredeviation senses involving transient-state and steady-state behavior byresorting to the method of the vectorization operation and the Kroneckerproduct. The analysis method does not require the Gaussian input signal.Moreover, the proposed analysis removes the paraunitary assumption imposed onthe analysis filter banks as in the existing analyses of subband adaptivealgorithms. Simulation results in various conditions demonstrate theeffectiveness of our theoretical analysis. For a special form of the algorithm,the proposed steady-state expression is also better accurate than the previousanalysis.

Mean-Square Performance Analysis of Noise-Robust Normalized Subband Adaptive Filter Algorithm