Article ID Journal Published Year Pages File Type
564345 Signal Processing 2010 9 Pages PDF
Abstract

We generalize the results presented in [1] regarding the relation between the Kalman filter and the Fibonacci sequence. We consider more general filtering models and relate the finite dimensional Kalman and Benes filters to the Fibonacci sequence and to the Golden Section. We also prove that Fibonacci numbers may be expressed as the convolution of the Fibonacci and Padovan sequence, thus extending the connection between stochastic filtering and Fibonacci sequence to the Padovan sequence.

Related Topics
Physical Sciences and Engineering Computer Science Signal Processing
Authors
, , ,