R: Wave Covariance Model / Cardinal Sine

RMwave {RandomFields} | R Documentation

## Wave Covariance Model / Cardinal Sine

### Description

`RMwave` is a stationary isotropic covariance model, which is valid only for dimension d ≤ 3. The corresponding covariance function only depends on the distance r ≥ 0 between two points and is given by

C(r)=sin(r)/r 1_{r>0} + 1_{r=0} .

It is a special case of `RMbessel`.

### Usage

    RMwave(var, scale, Aniso, proj)
    RMcardinalsine(var, scale, Aniso, proj)

### Arguments

`var,scale,Aniso,proj` | optional arguments; same meaning for any `RMmodel`. If not passed, the above covariance function remains unmodified.

### Details

The model is valid only for dimension d ≤ 3. It is a special case of `RMbessel` for ν = 0.5.

This covariance models a hole effect (cf. Chiles, J.-P. and Delfiner, P. (1999), p. 92).

### Value

`RMwave` returns an object of class `RMmodel`

### Author(s)

Martin Schlather, schlather@math.uni-mannheim.de

### References

- Chiles, J.-P. and Delfiner, P. (1999) Geostatistics. Modeling Spatial Uncertainty. New York: Wiley.

### See Also

`RMbessel` `RMmodel`, `RFsimulate`, `RFfit`.

### Examples

    RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
    ##                   RFoptions(seed=NA) to make them all random again

    model <- RMwave(scale=0.1)
    x <- seq(0, 10, 0.02)
    plot(model)
    plot(RFsimulate(model, x=x))

[Package RandomFields version 3.1.50 Index]