Accession Number:

AD0735460

Title:

Statistical Analysis of Digital Fixed-Point Multiplication Errors and Quantization Errors

Descriptive Note:

Research and development rept. Sep 1969-Jan 1970

Corporate Author:

NAVAL UNDERSEA RESEARCH AND DEVELOPMENTCENTER SAN DIEGO CA

Personal Author(s):

• Mulcahy, Leo P.

Report Date:

1971-12-01

Pagination or Media Count:

55.0

Abstract:

The problem considered is to review and extend the theory of computation error generation in digital filters. Specifically, consider fixed-point multiplication for digitized Gaussian analog signal inputs. Deterministic properties of rounding and chopping were examined for both multiplication and quantization errors. Statistical properties of rounding only were examined for both multiplication and quantization errors. Statistical properties examined are 1 the error distribution density, 2 the error variance, 3 the autocorrelation between successive error values, and 4 the cross-correlation coefficient between the quantizer input and the resulting error. Specific results were obtained for zero-mean Gaussian random processes.

Descriptors:

• *STATISTICAL ANALYSIS
• NUMERICAL ANALYSIS
• DIGITAL COMPUTERS
• BINARY ARITHMETIC

Subject Categories:

• Statistics and Probability
• Computer Programming and Software
• Computer Hardware

Distribution Statement:

APPROVED FOR PUBLIC RELEASE