This paper discusses about an effective noise and acoustic echo reduction system based on adaptive algorithm for speech signals. The Acoustic Echo Reduction system is most prominently used in mobile phones and pilot head phones. The requirements of an adaptive algorithm for Acoustic Echo Cancellation (AEC) are (i) high convergence and better tracking and (ii) low misadjustment and robustness against background noise variations. Affine Projection family of algorithms best satisfies these requirements. The basic APA (Affine Projection Algorithm) cannot meet these requirements together. A Variable Step-Size Affine Projection Algorithm (VSS-APA) solves this problem. This paper presents VSS-APA for speech signals with echo. In the presence of impulsive noise VSS-APA cannot perform well. For this APSA algorithms were proposed. A Memory Improved Proportionate Affine Projection Sign Algorithm (MIP-APSA) was found to perform well in impulsive noise environments with less computations and improved misadjustment. This paper simulates MIP-APSA for speech signals with echo and compares the misadjustment with that of APA and VSS-APA. © Research India Publications.