In this chapter fundamentals of arithmetic operations and number representations used in DSP systems are discussed. Different relevant number systems are outlined with a focus on fixed-point representations. Structures for accelerating the carry-propagation of addition are discussed, as well as multi-operand addition. For multiplication, different schemes for generating and accumulating partial products are presented. In addition to that, optimization for constant coefficient multiplication is discussed. Division and square-rooting are also briefly outlined. Furthermore, floating-point arithmetic and the IEEE 754 floating-point arithmetic standard are presented. Finally, some methods for computing elementary functions, e.g., trigonometric functions, are presented.
CITATION STYLE
Gustafsson, O., & Wanhammar, L. (2018). Arithmetic. In Handbook of Signal Processing Systems (pp. 381–426). Springer International Publishing. https://doi.org/10.1007/978-3-319-91734-4_11
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