DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click

HERE to register or log in.

# Accession Number:

## ADA080264

# Title:

## Some Algorithms for the Recursive Input-Output Modeling of 2-D Systems.

# Descriptive Note:

## Interim rept.,

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS

# Report Date:

## 1979-12-01

# Pagination or Media Count:

##
58.0

# Abstract:

## This paper considers the deterministic and stochastic modeling of 2-D systems described by their inputoutput data. In the deterministic case, the modeling problem is formulated as a 2-D Pade approximation problem. By studying several possible geometries of approximation, we obtain several sets of recursions of the 2-D rational approximants. These results exploit the properties of 2-D Hankel matrices, and they are used here to characterize the 2-D rational transfer functions. In the stochastic case, the realization problem is viewed as a 2-D prediction problem. This problem is solved recursively by generalizing to the 2-D case an algorithm due to Levinson in the 1-D case. The predictors obtained by this algorithm are then showed to converge to the 2-D spectral factors of the output spectrum. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#