Analysis of noise stability of strip-transformation

In the paper, variations of the strip-method are investigated. Namely, we considered variants based on using different matrices: Hadamard, Haar, Frobenius, S-matrices, etc. These variants of the strip-method were implemented. The main purpose is to study the quality of restoration of one-dimensional signals (images are not considered) for various matrices in the case of impulse hindrances. Various types of matrices and signals have been tested. A theoretical estimation in terms of spectral coefficients of decomposition is proposed for the norm of error for the strip-transformation based on a Hadamard matrix in the case of an impulse hindrance.