Name
Abstract | ||
|---|---|---|
We consider a linear periodically time-varying (LPTV) network (varying with frequency fs) excited by an input x(t). We show (using frequency-domain arguments) that if its output is sampled at fs, one can find a linear time-invariant (LTI) filter, which, when excited by x(t) and output sampled at fs, yields the same sequence as the LPTV network. We then use Tellegen's theorem to demonstrate interreciprocity in LPTV networks with sampled outputs. This enables the determination of the equivalent LTI filters from multiple sources in the LPTV network to the sampled output, using just one time-domain simulation. A first-order continuous-time delta sigma modulator is used to illustrate the theory. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TCSII.2014.2335393 | Circuits and Systems II: Express Briefs, IEEE Transactions |
Keywords | Field | DocType |
circuit simulation,delta-sigma modulation,frequency-domain analysis,linear network analysis,time-domain analysis,time-varying filters,LPTV network interreciprocity,Tellegen theorem,equivalent LTI filters,first-order continuous-time delta sigma modulator,frequency-domain arguments,linear periodically time-varying networks,linear time-invariant filter,time-domain simulation,Adjoint,network,noise,reciprocal,sample | Time domain,Excited state,Control theory,Delta-sigma modulation,Electronic engineering,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 9 | 1549-7747 |
Citations | PageRank | References |
5 | 0.56 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Shanthi Pavan | 1 | 391 | 87.81 |
| Radha S. Rajan | 2 | 5 | 0.56 |