sgolayfilt: Savitzky-Golay filtering

In gsignal: Signal Processing

Savitzky-Golay filtering

Description

Filter a signal with a Savitzky-Golay FIR filter.

Usage

## S3 method for class 'sgolayFilter'
filter(filt, x, ...)

sgolayfilt(x, p = 3, n = p + 3 - p%%2, m = 0, ts = 1)

Arguments

filt	Filter characteristics, usually the result of a call to sgolay
x	the input signal to be filtered, specified as a vector or as a matrix. If x is a matrix, each column is filtered.
...	Additional arguments (ignored)
p	Polynomial filter order; must be smaller than n.
n	Filter length; must a an odd positive integer.
m	Return the m-th derivative of the filter coefficients. Default: 0
ts	Scaling factor. Default: 1

Details

Savitzky-Golay smoothing filters are typically used to "smooth out" a noisy signal whose frequency span (without noise) is large. They are also called digital smoothing polynomial filters or least-squares smoothing filters. Savitzky-Golay filters perform better in some applications than standard averaging FIR filters, which tend to filter high-frequency content along with the noise. Savitzky-Golay filters are more effective at preserving high frequency signal components but less successful at rejecting noise.

Savitzky-Golay filters are optimal in the sense that they minimize the least-squares error in fitting a polynomial to frames of noisy data.

Value

The filtered signal, of the same dimensions as the input signal.

Author(s)

Paul Kienzle, [e-mail].
Conversion to R Tom Short,
adapted by Geert van Boxtel, [e-mail].

See Also

sgolay

Examples

# Compare a 5 sample averager, an order-5 butterworth lowpass
# filter (cutoff 1/3) and sgolayfilt(x, 3, 5), the best cubic
# estimated from 5 points.
bf <- butter(5, 1/3)
x <- c(rep(0, 15), rep(10, 10), rep(0, 15))
sg <- sgolayfilt(x)
plot(sg, type="l", xlab = "", ylab = "")
lines(filtfilt(rep(1, 5) / 5, 1, x), col = "red") # averaging filter
lines(filtfilt(bf, x), col = "blue")              # butterworth
points(x, pch = "x")                              # original data
legend("topleft", c("sgolay (3,5)", "5 sample average", "order 5
Butterworth", "original data"), lty=c(1, 1, 1, NA),
pch = c(NA, NA, NA, "x"), col = c(1, "red", "blue", 1))

gsignal documentation built on Sept. 12, 2024, 6:27 a.m.