Abstract
Recent papers have reported that the use of residue number coding in digital filters can result in better speed/cost ratios when com pared to filters designed with conventional adders and multipliers. This paper presents two approaches to the design of residue-to-analog converters to be used with residue number filters. The first approach, based on the associated mixed radix number system, is particularly useful when it is desired to translate the residue samples directly into analog form. The second approach, based on the Chinese remainder theorem, is a more direct method for translating from residue to weighted binary representation. A hardware feasibility model is described that was constructed to demonstrate the conversion principles.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 555-562 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Circuits and Systems |
| Volume | 25 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1978 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Engineering(all)
Cite this
}
Techniques for Residue-to-Analog Conversion for Residue-Encoded Digital Filters. / Jenkins, W. Kenneth.
In: IEEE Transactions on Circuits and Systems, Vol. 25, No. 7, 1978, p. 555-562.Research output: Contribution to journal › Article
TY - JOUR
T1 - Techniques for Residue-to-Analog Conversion for Residue-Encoded Digital Filters
AU - Jenkins, W. Kenneth
PY - 1978
Y1 - 1978
N2 - Recent papers have reported that the use of residue number coding in digital filters can result in better speed/cost ratios when com pared to filters designed with conventional adders and multipliers. This paper presents two approaches to the design of residue-to-analog converters to be used with residue number filters. The first approach, based on the associated mixed radix number system, is particularly useful when it is desired to translate the residue samples directly into analog form. The second approach, based on the Chinese remainder theorem, is a more direct method for translating from residue to weighted binary representation. A hardware feasibility model is described that was constructed to demonstrate the conversion principles.
AB - Recent papers have reported that the use of residue number coding in digital filters can result in better speed/cost ratios when com pared to filters designed with conventional adders and multipliers. This paper presents two approaches to the design of residue-to-analog converters to be used with residue number filters. The first approach, based on the associated mixed radix number system, is particularly useful when it is desired to translate the residue samples directly into analog form. The second approach, based on the Chinese remainder theorem, is a more direct method for translating from residue to weighted binary representation. A hardware feasibility model is described that was constructed to demonstrate the conversion principles.
UR - http://www.scopus.com/inward/record.url?scp=0017991592&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0017991592&partnerID=8YFLogxK
U2 - 10.1109/TCS.1978.1084495
DO - 10.1109/TCS.1978.1084495
M3 - Article
VL - 25
SP - 555
EP - 562
JO - IEEE Transactions on Circuits and Systems
JF - IEEE Transactions on Circuits and Systems
SN - 0098-4094
IS - 7
ER -