2015/03/03 by Sander Stepanov, Stepanov, Sander, A. Venetsanopoulos +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Blind Source Separation Techniques #Chaos control and synchronization #FOS: Computer and information sciences #Information Theory (cs.IT) #Spectroscopy and Chemometric Analyses #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.1503.01147
arxiv created 2015/03/03 · openalex publication_date 2015/03/03 · arxiv updated 2015/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For the first time the problem of the full solution for the calculation of the power spectrum density of the random pulse train is solved. This well known problem led to a mistaken publication in the past and even its partial solution was considered worthy of publication in a textbook. The little known solution for only the continues random pulse train spectrum is explained by examples and is extended to cover each signal having a discrete spectrum, too. A developed approach is used to derive the general equation for two important representative pulse trains with unbalanced symbol duration: a signal with stretched pulse with a transition from one to zero, and shortened blank symbols. The developed theoretical results are validated by simulation. It is shown that the pulse trains under consideration pose spectrum peaks. The characteristics of these peaks are investigated.