Recurrent Difference Digital Filtering Algorithm Without Algorithmic Multiplication Operations

Research-related issues of any possibility on building virtual models for microelectronic digital signal processing devices without multiplication operations were considered. The research relevance was due to the need of some reducing of the computational complexity of software algorithms for digital filtration. The research purpose was to develop a mathematical model of the recursive digital filter with low-bit values for its coefficients of digital filtering based on the finite difference method. The study used numerical methods for constructing mathematical and software models of digital algorithms for difference filtering with such coefficients. The research results confirmed and showed the real possibility for building of mathematical model for digital algorithms of these filters by the methods for directional search of integer difference coefficients for difference filtering and comparative analysis of such low-bit difference coefficients. Recurrent formula for linear convolution of sequences of digital samples of the filtered signal and difference coefficients of the recursive difference digital filter is given.