Design and Multiplierless Implementations of ECG-Based 1st Order Gaussian Derivative Wavelet Filter with Lattice Structures

In this paper, the 1st order Gaussian derivative wavelet function utilized in the design of some corresponding filter banks. Since the 1st order Gaussian derivative function has a similar shape to QRS complex part of the ECG, it can be used in QRS feature extraction. Using this characteristic of such wavelet function, the designed FIR wavelet filter banks can be realized in highly-efficient lattice structures which are easy to implement in two standard deviation values ( = and = ). The resulting lattice structures reduce the number of filter banks coefficients and this reduces, in turn the number of multiplications and improves the filter banks efficiencies as it reduces the number of computations performed. The resulting quantized multiplier values can also lead to multiplierless realizations using sum-of-power-of-two (SOPOT) method. FPGA implementations of such structures are achieved with less-complexity.