Generate_filterMA: Generate the Filter of a multivariate MA process

In ftsspec: Spectral Density Estimation and Comparison for Functional Time Series

Generate the Filter of a multivariate MA process

Description

Generate the Filter of a multivariate MA process

Usage

Generate_filterMA(
  d.ts,
  d.n,
  MA.len = 3,
  ma.scale = rep(1, MA.len),
  a.smooth.coef = 0,
  seed = 1
)

Arguments

d.ts	dimension of the (output) time series
d.n	dimension of the noise that is filtered
MA.len	Length of the filter. Set to 3 by default.
ma.scale	scaling factor of each lag matrix. See details.
a.smooth.coef	A coefficient to shrink coefficients of filter. Set to 0 by default.
seed	The random seed used to generate the filter. Set to 1 by default.

Value

A d.ts x d.n x MA.len array

Details

Generates a filter (i.e. a d.ts x d.n x MA.len array) for a moving average process. The entries of the filter are generate randomly, but can be reproduced by specifying the random seed seed.

The ma.scale parameter should be a vector of length MA.len, and corresponds to a scaling factor applied to each lag of the filter of the MA process that is generated.

Examples

ma.scale1=c(-1.4,2.3,-2)
a1=Generate_filterMA(10, 10, MA.len=3, ma.scale=ma.scale1, seed=10)
str(a1)
rm(a1)

ftsspec documentation built on Aug. 4, 2026, 9:07 a.m.