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This paper proposes a simplified logic design methodology for the fuzzy membership function used for robust and reliable detection of modulus-maxima locations in wavelet domain for fetal ECG extraction from the abdominal composite ECG signal. This simplification is achieved by exploiting the inherent time-position information of the wavelet coefficients decomposed at different resolution levels. Subsequently, a low complexity VLSI architecture for Fetal ECG extraction is presented which is designed using the recently proposed memory- efficient, multiplierless Discrete Wavelet Transform method. The generic memory model within this architecture will provide the flexibility to configure the on-chip memory with any type of orthonormal wavelets suitable for different applications. Total synthesized cell area of the proposed architecture is 14.2 mm2 and power consumption is 101.5 μW at 1.2 V @ 1 MHz frequency using 0.13 μm standard cell technology. The proposed architecture is targeted for the personalized health monitoring applications within a mobile home-care medical device in the resource constrained environment.