Frequency estimation of ECG signals using FIR filter

Abstract

The proposed system resembles a new family of dyadic wavelet tight frames based on two scaling purposes and four distinct wavelets. One pair of the four wavelets are designed to be offset from the other pair of wavelets so that the integer transforms of one wavelet pair fall midway between the integer translates of the other pair. Simultaneously, one pair of wavelets are designed to be approximate Hilbert transforms of the other pair of wavelets so that two complex (approximately analytic) wavelets can be formed. Therefore, they can be used to implement complex and directional wavelet transforms. It develops a design procedure to obtain finite impulse response (FIR) filters that satisfy the numerous constraints imposed. This design procedure employs a fractional-delay all pass filter, spectral factorization, and filter bank completion. The simulation results show considerable performance enhancements with high degree of smoothness.