astsa (version 1.9)

SigExtract: Signal Extraction And Optimal Filtering

Description

Performs signal extraction and optimal filtering as discussed in Chapter 4.

Usage

SigExtract(series, L = c(3, 3), M = 50, max.freq = 0.05)

Arguments

series

univariate time series to be filtered

L

degree of smoothing (may be a vector); see spans in spec.pgram for more details

M

number of terms used in the lagged regression approximation

max.freq

truncation frequency, which must be larger than 1/M.

Value

Returns plots of (1) the original and filtered series, (2) the estiamted spectra of each series, (3) the filter coefficients and the desired and attained frequency response function. The filtered series is returned invisibly.

Details

The basic function of the script, and the default setting, is to remove frequencies above 1/20 (and, in particular, the seasonal frequency of 1 cycle every 12 time points). The sampling frequency of the time series is set to unity prior to the analysis.

References

http://www.stat.pitt.edu/stoffer/tsa4/