TY - JOUR

T1 - Block diagram reduction of the interconnected linear time-varying systems in the time-frequency domain

AU - Zhao, Haipeng

AU - Bentsman, Joseph

N1 - Funding Information:
1. This research was supported by the National Science Foundation grants CMS 96-12079 and EEC 96*12120, EPRI/DoD Complex Interactive Networks/Systems Initiative, and the 25 member companies of the Air Conditioning and Refrigeration Center, and Industry-University Cooperative Research Center at the University of Illinois at Urbana-Champaign.

PY - 2002/1

Y1 - 2002/1

N2 - The problem of obtaining the time-frequency domain input-output model of a linear time-varying (LTV) system formed by linking the time-frequency domain blocks describing LTV subsystems is considered. Simultaneous input-output transformation of the constituent LTV subsystems modeled in terms of two-dimensional impulse responses into time-frequency domain is developed. It is shown that this transformation gives rise to the time-frequency domain subsystem representation which lends itself easily to: 1) deriving composition rules for obtaining the simplified overall interconnection model, and 2) revealing the constraints on individual subsystem modeling that need to be satisfied to admit such simplification. These composition rules are developed for the reduction of standard topologies including series, parallel, and feedback interconnections. The reduction of a more complicated topology using these rules is demonstrated.

AB - The problem of obtaining the time-frequency domain input-output model of a linear time-varying (LTV) system formed by linking the time-frequency domain blocks describing LTV subsystems is considered. Simultaneous input-output transformation of the constituent LTV subsystems modeled in terms of two-dimensional impulse responses into time-frequency domain is developed. It is shown that this transformation gives rise to the time-frequency domain subsystem representation which lends itself easily to: 1) deriving composition rules for obtaining the simplified overall interconnection model, and 2) revealing the constraints on individual subsystem modeling that need to be satisfied to admit such simplification. These composition rules are developed for the reduction of standard topologies including series, parallel, and feedback interconnections. The reduction of a more complicated topology using these rules is demonstrated.

KW - Biorthogonal basis

KW - Block diagram reduction

KW - Time-frequency domain

KW - Time-varying systems

KW - Wavelet networks

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U2 - 10.1023/A:1013887210614

DO - 10.1023/A:1013887210614

M3 - Article

AN - SCOPUS:0036182344

VL - 13

SP - 7

EP - 34

JO - Multidimensional Systems and Signal Processing

JF - Multidimensional Systems and Signal Processing

SN - 0923-6082

IS - 1

ER -