Name
Abstract | ||
|---|---|---|
The authors introduce a very general class of nonlinear filters, called mapping order-statistics filters (MOSFs). A subclass of the MOSFs, called Lp-mean median filters (Lp-MMF), is treated in detail. Theoretical analysis and computer simulations shown that the Lp-MMF removes one kind of impulse noise as well as the nonlinear mean filter and attenuates Gaussian and uniformly distributed noise efficiently. The main advantages of the Lp-MMF are that it can preserve edges as well as the median filter and can remove both the positive and negative impulse noise simultaneously. Further theoretical analysis shows that a finite-length discrete signal always converges to a fixed-point signal (root signal), if the same Lp-MMF is applied iteratively. A necessary condition for a signal to be a root signal is found and proved. This necessary condition is also valid for the FIR-median hybrid filter |
Year | DOI | Venue |
|---|---|---|
1991 | 10.1109/78.98012 | Signal Processing, IEEE Transactions |
Keywords | Field | DocType |
median filters,signal processing,impulse noise,finite-impulse-response median hybrid filter,lp-mean median filters,fir filter,filtering and prediction theory,finite-length discrete signal,fir-median hybrid filter,monotonic trend region,random noise,edge preserving filtering,digital filters,mapping order-statistics filters,edges,uniformly distributed noise,fixed-point signal,root signal,nonlinear filters,order statistic,nonlinear filter,filtering,median filter,gaussian noise,statistical analysis,computer simulation,signal analysis,attenuation,fixed point | Signal processing,Median filter,Discrete-time signal,Filter (signal processing),Electronic engineering,Gaussian,Impulse noise,Matched filter,Gaussian noise,Mathematics | Journal |
Volume | Issue | ISSN |
39 | 11 | 1053-587X |
Citations | PageRank | References |
7 | 2.55 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaoning Nie | 1 | 44 | 6.94 |
| R. Unbehauen | 2 | 402 | 59.20 |