Many digital signal processing and communicationalgorithms are first simulated using floating-pointarithmetic and are later transformed into fixed-pointarithmetic to reduce implementationcomplexity. This transformation process may takemost of the design time for complex designs and mayinvolve a long series of manual ad-hoc designchoices. This book provides methods to find optimumword lengths efficiently, implement low-powerfixed-point arithmetic by word length reductiontechniques, and automate the transformation processfrom floating-point to fixed-point arithmetic. Theautomation step provides a design tradeoff curve ofsignal quality vs. implementation complexity for thesystem, which allows the designer to pick anyoperating point on the tradeoff curve. The bookshould help in developing fixed-point hardware orsoftware implementations from floating-pointrepresentations, and should be especially useful toprofessionals who are developing high-speed orlow-power hardware or software.
Transforming Floating-Point Algorithms to Fixed-Point Implementations
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Many digital signal processing and communicationalgorithms are first simulated using floating-pointarithmetic and are later transformed into fixed-pointarithmetic to reduce implementationcomplexity. This transformation process may takemost of the design time for complex designs and mayinvolve a long series of manual ad-hoc designchoices. This book provides methods to find optimumword lengths efficiently, implement low-powerfixed-point arithmetic by word length reductiontechniques, and automate the transformation processfrom floating-point to fixed-point arithmetic. Theautomation step provides a design tradeoff curve ofsignal quality vs. implementation complexity for thesystem, which allows the designer to pick anyoperating point on the tradeoff curve. The bookshould help in developing fixed-point hardware orsoftware implementations from floating-pointrepresentations, and should be especially useful toprofessionals who are developing high-speed orlow-power hardware or software.
The fused multiply add (FMA) operation is very important in many scientific and engineering applications. It is a key feature of the floating-point unit (FPU), which greatly increases the...
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The purpose of this book is to provide a primary resource for anyone interested in fixed point theory in Non-Archimedean Menger Probabilistic Metric Space. The book presents information for those...
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