Title :
Wide Sense Stationary Processes Forming Frames
Author :
Medina, Juan Miguel ; Cernuschi-Frías, Bruno
Author_Institution :
Dept. de Mat., Univ. de Buenos Aires, Buenos Aires, Argentina
fDate :
7/1/2011 12:00:00 AM
Abstract :
In this paper, we study the question of the representation of random variables by means of frames or Riesz basis generated by stationary sequences. This concerns the representation of continuous time wide sense stationary random processes by means of discrete samples.
Keywords :
random processes; sampling methods; Riesz basis; continuous time wide sense stationary random processes; random variables; sampling; stationary sequence; wide sense stationary processes forming frames; Atmospheric measurements; Density measurement; Hilbert space; Matrix decomposition; Particle measurements; Random processes; Stability analysis; Basis; frames; sampling; stationary random processes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2146530