Name
Abstract | ||
|---|---|---|
This work focuses on a new type of cost function based on fractional operators. To do so, the concept of definite integral is extended to arbitrary real-order. Some properties of this new fractional-order definite integral are studied and a fractional-order Barrow's rule is proposed. It is illustrated by an example (the design of an IIR filter) how this new kind of cost function can be a valuable tool in problems where optimal design methods are involved. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.sigpro.2010.03.018 | Signal Processing |
Keywords | Field | DocType |
new kind,iir filter,fractional-order barrow,new type,fractional operator,arbitrary real-order cost function,optimal design method,cost function,valuable tool,arbitrary real-order,filter design,optimal design,numerical analysis,fractional calculus,integrals,optimization | Mathematical optimization,Control theory,Infinite impulse response,2D Filters,Optimal design,Fractional calculus,Operator (computer programming),Numerical analysis,Mathematics,Filter design | Journal |
Volume | Issue | ISSN |
91 | 3 | Signal Processing |
Citations | PageRank | References |
3 | 0.59 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miguel Romero | 1 | 7 | 3.07 |
| A. P. de Madrid | 2 | 15 | 2.95 |
| B. M. Vinagre | 3 | 42 | 4.09 |