Energy aware memory management for embedded multimedia by Florin Balasa, Dhiraj K. Pradhan

By Florin Balasa, Dhiraj K. Pradhan

Energy-Aware reminiscence administration for Embedded Multimedia structures: A Computer-Aided layout Approach provides fresh computer-aided layout (CAD) rules that tackle reminiscence administration initiatives, quite the optimization of power intake within the reminiscence subsystem. It explains the best way to successfully enforce CAD suggestions, together with theoretical equipment and novel algorithms.

The publication covers quite a few energy-aware layout strategies, together with data-dependence research options, reminiscence dimension estimation tools, extensions of mapping methods, and reminiscence banking methods. It indicates how those thoughts are used to guage the knowledge garage of an software, lessen dynamic and static power intake, layout energy-efficient tackle iteration devices, and lots more and plenty more.

Providing an algebraic framework for reminiscence administration initiatives, this ebook illustrates easy methods to optimize strength intake in reminiscence subsystems utilizing CAD recommendations. The algorithmic variety of the textual content might help digital layout automation (EDA) researchers and power builders create prototype software program instruments for system-level exploration, with the target to finally receive an optimized architectural resolution of the reminiscence subsystem.

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Domain D is defined as: D = {x | x = T x + t, x ∈ D} The image of a polyhdron is in general not a polyhedron, but a linear bounded lattice [22]. However, under the restriction that T is unimodular, Image(P, T ) is a polyhedron. To force closure for non-unimodular Image functions, the operation can compute the convex hull of the image. In homogeneous terms, the transformation is expressed as C = ␰x ␰ | ␰x ␰ = T 0 t 1 ␰x ␰ , ␰x ␰ ∈C Thus in the homogeneous representation, an affine transfer function becomes a linear transfer function (no constant added in).

This equation has the affine dependence (i) → (i, j) that is many-to-one. The summation along with the The Power of Polyhedra 23 many-to-one dependence makes this type of equation a reduction. This reduction can be eliminated by a technique called serialization. After serialization, the following recurrence equations are produced that perform the same computation as the reduction above. ⎧ ⎨(i, j) ∈ {i, j | j = 0} ⇒0 s(i, j) = ⎩(i, j) ∈ {i, j | 1 ≤ j ≤ N } ⇒ s(i, j − 1) + y(i, j) x(i) = s(i, N ) The first equation is uniform, having uniform dependences (s to s) (i, j) → (i, j −1) and (s to y) (i, j) → (i, j).

This form corresponds to the definition of a polyhedron as the intersection of a finite family of closed linear halfspaces, defined by the inequalities: Ax ≥ b, Ax ≤ b, and Cx ≥ d. P has an equivalent dual parametric representation (also called the Minkowski characterization after Minkowski–1896 [2, p. 6) in terms of a linear combination of lines (columns of matrix L), a convex combination of vertices (columns of matrix V ), and a positive combination of extreme rays (columns of matrix R). The parametric representation shows that a polyhedron can be generated from a set of lines, rays, and vertices.

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