Name
Abstract | ||
|---|---|---|
It is a standard result that a finite impulse response channel of length L can be uniquely identified by feeding in a known (and persistently exciting) sequence of 2L-1 consecutive data points. Equivalently, given only 2L-2 consecutive data points, the channel can be uniquely identified up to a multiplicative constant. This paper significantly extends the identifiability criterion to the case when the known inputs are non-consecutively located. It is argued that by introducing 2L-1 non-consecutively spaced zeros into the input stream, for almost all input sequences, the channel can be uniquely identified up to a multiplicative constant. Furthermore, the result can be extended to the case when the known inputs are non-zero, in which case the channel can almost always be identified uniquely. To arrive at these results, general properties of systems of polynomial equations are derived. These properties do not seem to have appeared in the literature before |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1109/ICASSP.1998.681626 | Acoustics, Speech and Signal Processing, 1998. Proceedings of the 1998 IEEE International Conference |
Keywords | Field | DocType |
identification,poles and zeros,polynomials,sequences,signal processing,telecommunication channels,transient response,channel identification,channel length,consecutive data points,finite impulse response channels,input sequences,input stream,multiplicative constant,nonconsecutively located input,nonconsecutively spaced zeros,polynomial equations,semi-blind identification,signal processing,training data | Transient response,Discrete mathematics,Mathematical optimization,Multiplicative function,Polynomial,Mathematical analysis,Identifiability,Communication channel,System of polynomial equations,Almost surely,Finite impulse response,Mathematics | Conference |
Volume | ISSN | ISBN |
4 | 1520-6149 | 0-7803-4428-6 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jonathan Manton | 1 | 167 | 20.60 |
| Yinhbo Hua | 2 | 0 | 0.34 |
| Yufan Zheng | 3 | 91 | 12.83 |
| Cishen Zhang | 4 | 774 | 68.79 |