Theory of linear and integer programming
Theory of linear and integer programming
REAL: a program for REgister ALlocation
DAC '87 Proceedings of the 24th ACM/IEEE Design Automation Conference
A practical algorithm for exact array dependence analysis
Communications of the ACM
A polynomial time algorithm for counting integral points in polyhedra when the dimension is fixed
Mathematics of Operations Research
Memory estimation for high level synthesis
DAC '94 Proceedings of the 31st annual Design Automation Conference
Background memory area estimation for multidimensional signal processing systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Advanced compiler design and implementation
Advanced compiler design and implementation
Exact memory size estimation for array computations
IEEE Transactions on Very Large Scale Integration (VLSI) Systems - Special issue on the 11th international symposium on system-level synthesis and design (ISSS'98)
Data and memory optimization techniques for embedded systems
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Custom Memory Management Methodology: Exploration of Memory Organisation for Embedded Multimedia System Design
Data dependency size estimation for use in memory optimization
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Memory optimization by counting points in integer transformations of parametric polytopes
CASES '06 Proceedings of the 2006 international conference on Compilers, architecture and synthesis for embedded systems
Formal model of data reuse analysis for hierarchical memory organizations
Proceedings of the 2006 IEEE/ACM international conference on Computer-aided design
Proceedings of the 2007 ACM SIGPLAN/SIGBED conference on Languages, compilers, and tools for embedded systems
Mapping multi-dimensional signals into hierarchical memory organizations
Proceedings of the conference on Design, automation and test in Europe
Incremental hierarchical memory size estimation for steering of loop transformations
ACM Transactions on Design Automation of Electronic Systems (TODAES)
Computation of storage requirements for multi-dimensional signal processing applications
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Journal of Signal Processing Systems
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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In real-time multimedia processing systems a very large part of the power consumption is due to the data storage and data transfer. Moreover, the area cost is often largely dominated by the memory modules. The computation of the memory size is an important step in the process of designing an optimized (for area and/or power) memory architecture for multimedia processing systems. This paper presents a novel non-scalar approach for computing exactly the memory size in real-time multimedia algorithms. This methodology uses both algebraic techniques specific to the data-flow analysis used in modern compilers, and also recent advances in the theory of integral polyhedra. In contrast with all the previous works which are only estimation methods, this approach performs exact memory computations even for applications with a large number of scalar signals.