Name
Abstract | ||
|---|---|---|
As a fundamental building block of multirate systems, the downsampler, also known as the decimator, is a periodically time-varying linear system. An eigensignal of the downsampler is defined to be an input signal which appears at the output unaltered or scaled by a non-zero coefficient. In this paper, the eigensignals are studied and characterized in the time and z domains. The time-domain characterization is carried out using number theoretic principles, while the one-sided z-transform and Lambert-form series are used for the transform-domain characterization. Examples of non-trivial eigensignals are provided. These include the special classes of multiplicative and completely multiplicative eigensignals. Moreover, the locus of poles of eigensignals with rational z transforms are identified. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1093/ietfec/e90-a.9.1904 | IEICE Transactions |
Keywords | Field | DocType |
multirate system,multiplicative eigensignals,transform domains,input signal,time-domain characterization,lambert-form series,transform-domain characterization,linear system,non-zero coefficient,non-trivial eigensignals,fundamental building block,lambert series,decimation,downsampling | Discrete mathematics,Decimation,Multiplicative function,Algebra,Linear system,Möbius function,Lambert series,Upsampling,Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
E90-A | 9 | 1745-1337 |
Citations | PageRank | References |
1 | 0.41 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Saed Samadi | 1 | 20 | 5.87 |
| M. O. Ahmad | 2 | 1157 | 154.87 |
| Akinori Nishihara | 3 | 103 | 28.17 |
| M. N. Swamy | 4 | 104 | 18.85 |