TAILIEUCHUNG - High Level Synthesis: from Algorithm to Digital Circuit- P22

High Level Synthesis: from Algorithm to Digital Circuit- P22: This book presents an excellent collection of contributions addressing different aspects of high-level synthesis from both industry and academia. "High-Level Synthesis: from Algorithm to Digital Circuit" should be on each designer's and CAD developer's shelf, as well as on those of project managers who will soon embrace high level design and synthesis for all aspects of digital system design. | 11 Synthesis of DSP Algorithms from Infinite Precision Specifications 199 Table Degrees of a node in a computational graph Type Indegree Outdegree Inport 0 1 Outport 1 0 Add 2 1 Delay 1 1 Gain 1 1 Fork 1 2 Fig. Type of nodes ADD GAIN Z-1 Fig. An example of a computation graph DELAY FORK Fig. Word-length representation 6 In digital hardware the traditional number representations are floating-point and fixed-point. The former representation is typically used in the general purpose processing units whereas the latter is commonly adopted by the DSP processors due to the low area requirements and high throughput that can be achieved. The representation introduced in 6 that is used in this is the multiple word-length representation an extension of fixed-point for parallel hardware design. According to this scheme each signal j e S in a computation graph G V S has two parameters nj and pj. The first parameter nj specifies the number of bits in the representation of the signal excluding the sign bit while the second parameter pj represents the displacement of the binary point from the sign bit. Figure shows an example of a signal j. Figure illustrates the same system using a a fixed-point representation and b a multiple word-length representation. In the first case all the signals use the same number of bits Vi j e nj and scale Vi j e pj . In the multiple word-length example each signal can use a different representation. 200 . Bouganis and . Constantinides Fig. An example of a system using a fixed-point representation and b multiple wordlength representation Peak Value Estimation In order to make efficient use of the available resources the scaling of each signal should be selected appropriately. The chosen representation should not be overwasteful by allowing the representation of values that are impossible to ever occur but at the same time should not allow overflow errors to regularly occur. Ifthe absolute .

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