Adaptive filter design for generation of correlated random sequences

Random sequences with specific statistical properties are essential for the study and simulation of various fields of science and engineering, in particular for advanced communication systems. As will be mentioned, different approaches have been investigated often with various model-based techniques that culminate in linear filters of finite or infinite impulse response models with determined filter parameters. Yet a general solution with computational efficiency and convenience seems to be in high demand. In this paper, we offer an adaptive method to achieve a transversal (Finite Impulse Response), which in addition to inherent stability has linear phase or equivalently constant group delay in cases that phase distortion in not acceptable.