Title :
Floating-point signal processing-arithmetic, roundoff-noise, and limit cycles
Author_Institution :
Inst. of Appl. Phys., Johann Wolfgang Goethe-Univ., Frankfurt am Main, West Germany
Abstract :
The number of representation and the range of floating-point numbers is treated for floating-point signal processing. The addition and multiplication operations which are most important for digital signal processing are explained in detail including the necessary normalization operations. Quantization errors in terms of the probability densities of the relative errors are analyzed in detail for roundoff-quantization, two´s-complement-truncation, and magnitude-truncation. The roundoff-noise is determined for a single quantizer and for complex signal processing flowgraphs. The problem of limit cycles is discussed briefly
Keywords :
digital arithmetic; digital filters; digital signal processing chips; limit cycles; noise; signal processing; addition operation; complex signal processing flowgraphs; digital filters; digital signal processing; floating-point numbers; floating-point signal processing; limit cycles; magnitude-truncation; multiplication operations; normalization operations; probability densities; quantization errors; roundoff-noise; roundoff-quantization; two´s-complement-truncation; Complexity theory; Digital arithmetic; Digital filters; Dynamic range; Error analysis; Hardware; Limit-cycles; Physics; Quantization; Signal processing;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo
DOI :
10.1109/ISCAS.1988.15339
