On synthesizing systolic arrays from Recurrence Equations with Linear Dependencies

1986 ◽  
pp. 488-503 ◽  
Author(s):  
Sanjay V. Rajopadhye ◽  
S. Purushothaman ◽  
Richard M. Fujimoto
Keyword(s):  
Systolic Arrays ◽  
Recurrence Equations

Synthesizing systolic arrays from recurrence equations

1990 ◽  
Vol 14 (2) ◽  
pp. 163-189 ◽  
Author(s):  
Sanjay V Rajopadhye ◽  
Richard M Fujimoto
Keyword(s):  
Systolic Arrays ◽  
Recurrence Equations

SPECIFYING CONTROL SIGNALS FOR SYSTOLIC ARRAYS BY UNIFORM RECURRENCE EQUATIONS

1991 ◽  
Vol 01 (02) ◽  
pp. 83-93 ◽  
Author(s):  
JINGLING XUE
Keyword(s):  
Sufficient Conditions ◽  
Space Time ◽  
Control Flow ◽  
Necessary And Sufficient Conditions ◽  
Mapping Technique ◽  
Systolic Arrays ◽  
Recurrence Equations ◽  
Control Signals ◽  
Necessary And Sufficient ◽  
And Control

Starting with a system of uniform recurrence equations (source UREs) for a systolic design, we provide a method that allows a specification of control signals by another system of UREs (control UREs), which has no notion of time and space. Necessary and sufficient conditions for the correctness of the control UREs are stated. The standard space-time mapping technique is extended so that systolic arrays with a description of both data and control flow are directly synthesised from the source and control UREs. Optimisations of control signals are discussed. An example is provided.

Unified summation equations and their applications in tribology wear process

2013 ◽  
Vol 61 (2) ◽  
pp. 405-417 ◽  
Author(s):  
K. Wierzcholski
Keyword(s):  
Translation Operator ◽  
Wear Process ◽  
Recurrence Equations ◽  
New Form

Abstract This paper presents some applications of summation equations with regard to the calculation prognosis of micro-bearing wear parameters. Summation equations are presented in a new form of difference and recurrence equations where the unknown micro-bearing wear function occurs as the argument of the reciprocal unified operator of summation (UOS). In this paper the properties of the UOS and reciprocal UOS as well as the unitary translation operator (UTO) are defined and applied to a micro-bearing wear determination. The approach of both dual and interaction between summation and recurrence equations and micro-bearing wear determination, makes this paper unique.

Mapping 3-D IIR digital filter onto systolic arrays

1996 ◽  
Vol 7 (1) ◽  
pp. 7-26 ◽  
Author(s):  
F. El-Guibaly ◽  
A. Tawfik
Keyword(s):  
Digital Filter ◽  
Systolic Arrays
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