Two's-Complement Fixed-Point Multiplication Errors - Theory.
Abstract
Analytic forms of a variety of two's-complement multiplication error statistics are derived. An FIR filter structure is used to define the individual error statistics which are used in the calculation of the filter output variance and spectrum. The approach used in deriving the statistics is to show that a regularity exists in the structure of the errors as the multiplier input is stepped through a series of consecutive values. The error structure is a function of co-efficient value, number representation, and word lengths. This regular structure allows the use of the Poisson Summation Formula in deriving error statistics based on multiplier inputs obtained from quantized random variables. The error statistics are categorized according to families of coefficient values denoted by the parameter v. This parameter is the effective word length of the error. Specific forms of the statistics are given for Gaussian quantizer inputs. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1980
- Accession Number
- ADA086826
Entities
People
- L. P. Mulcahy