Statistical properties of pipelined-block linear time-varying discrete-time systems in state space

Article type: Research Article

Authors: Kazlauskas, Kazys

Affiliations: Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania. E-mail: jurgita@ktl.mii.lt

Abstract: Statistical properties are examined for a class of pipelined-block linear time-varying (LTV) and linear time-invariant (LTI) discrete-time systems. Pipelined-block equations are derived, using the general solution of LTV discrete-time system in state space. Afterwards, we analysed the state covariance and output covariance matrices of pipelined-block LTV and LTI discrete-time systems in state space. For this class of pipelined-block realizations expressions are found for calculation of characteristics of the roundoff noise. Finally, scaling in the pipelined LTV discrete-time systems in state space is considered.

Keywords: linear, discrete systems, pipelining, block processing, state space, statistical properties

DOI: 10.3233/INF-1997-8303

Journal: Informatica, vol. 8, no. 3, pp. 345-366, 1997