Digital signal processing without performing arithmetic multiplication operations

Issues related to the frequency selection of digital signals by the methods of their transversal difference digital filtering and multistage discrete Fourier transform with a minimum number of arithmetic multiplication operations are considered. The concept of deductive processing of digital signals is defined, which does not require arithmetic operations of multiplication. There are basic formulas for this processing of digital signals by recursive methods of difference filtering and multistage Fourier transform, which allow replacing the performance of arithmetic multiplication operations by the performance of addition operations