Download e-book for iPad: A Formal Approach to Hardware Design by Jørgen Staunstrup

By Jørgen Staunstrup

ISBN-10: 0792394275

ISBN-13: 9780792394273

A proper method of layout discusses designing computations to be realised by means of software particular undefined. It introduces a proper layout technique in line with a high-level layout language referred to as Synchronized Transitions. The types created utilizing Synchronized Transitions let the dressmaker to accomplish diversified different types of research and verification according to descriptions in a unmarried language. it really is, for instance, attainable to exploit precisely an analogous layout description either for routinely supported verification and synthesis. Synchronized Transitions is supported by means of a set of public area CAD instruments. those instruments can be utilized with the publication in offering a direction at the topic. a proper method of layout illustrates the advantages to be received from adopting such suggestions, however it does so with no assuming past wisdom of formal layout equipment. The ebook is hence not just an outstanding reference, it's also appropriate to be used by means of scholars and practitioners.

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Additional resources for A Formal Approach to Hardware Design

Example text

Information in hypercubes are carried by labels of vertices and labels of links. Manipulation of hypercubes consists of several operations, for example, merging the vertex. 3, the hypercubes for elementary switching functions of three variables are represented. 7). (b) Let f = m(0, 2, 4, 5, 6). 9. A 4D hypercube consists of two 3D hypercubes with their corners connected. The simplest way to visualize a 4D hypercube is to have one hypercube placed inside the other hypercube. 6 A hypercube data structure for representing and manipulating switching functions.

Autocorrelation is a useful concept in spectral methods for analysis and synthesis of networks realizing logic functions. For a given n-variable switching function f , the autocorrelation function Bf is defined as 2n −1 f (x)f (x ⊕ τ ), Bf (τ ) = x=0 where τ ∈ {0, . . , 2n − 1} is the Hamming distance. The Winer–Khintchine theorem states a relationship between the autocorrelation function and Walsh (Fourier) coefficients. The autocorrelation function is invariant to the shift operator ⊕ in terms of which Bf is defined.

For Reed–Muller and arithmetic transforms, the basic configuration of the data flowgraph is a ”butterfly,” well-known from the fast Fourier transform used in digital signal processing. 2 Hypercube The hypercube is a topological representation of a switching function by an n-dimensional graph, where n is a number of variables. This representation is aimed at: Interpretation (representation) of the function in a form useful for manipulation, and Mapping of the function to 3D space. 5, edges of the hypercubes for n = 1, .

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A Formal Approach to Hardware Design by Jørgen Staunstrup


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