Details
| Original language | English |
|---|---|
| Pages (from-to) | 1174-1184 |
| Number of pages | 11 |
| Journal | IEEE Transactions on Communications |
| Volume | 30 |
| Issue number | 5 |
| Publication status | Published - May 1982 |
Abstract
Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and can exhibit instability under certain conditions. In this paper, sufficient conditions for asymptotic stability of multidimensional DPCM systems are obtained both in the signal domain and the transform domain. In the case of instability, certain kinds of limit cycles can be produced. For an important set of two-level limit cycles, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.
ASJC Scopus subject areas
- Engineering(all)
- Electrical and Electronic Engineering
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In: IEEE Transactions on Communications, Vol. 30, No. 5, 05.1982, p. 1174-1184.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stability Conditions for DPCM Coders
AU - Pirsch, Peter
PY - 1982/5
Y1 - 1982/5
N2 - Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and can exhibit instability under certain conditions. In this paper, sufficient conditions for asymptotic stability of multidimensional DPCM systems are obtained both in the signal domain and the transform domain. In the case of instability, certain kinds of limit cycles can be produced. For an important set of two-level limit cycles, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.
AB - Differential pulse code modulation (DPCM) systems, used for encoding signals, are recursive and can exhibit instability under certain conditions. In this paper, sufficient conditions for asymptotic stability of multidimensional DPCM systems are obtained both in the signal domain and the transform domain. In the case of instability, certain kinds of limit cycles can be produced. For an important set of two-level limit cycles, necessary conditions for their suppression are derived. The stability conditions are evaluated for one-, two-, and three-dimensional predictors.
UR - http://www.scopus.com/inward/record.url?scp=0020127067&partnerID=8YFLogxK
U2 - 10.1109/TCOM.1982.1095562
DO - 10.1109/TCOM.1982.1095562
M3 - Article
AN - SCOPUS:0020127067
VL - 30
SP - 1174
EP - 1184
JO - IEEE Transactions on Communications
JF - IEEE Transactions on Communications
SN - 0090-6778
IS - 5
ER -