Computes the 1D discrete wavelet transform using the "à trous" (with holes)
algorithm. This is a non-decimated transform, meaning the signal length
remains constant across scales.
Usage
fatrous1d(rx, rh, snmin, snmax, sj)
Arguments
- rx
A numeric vector representing the input signal (e.g., radial distances).
- rh
A numeric vector representing the filter coefficients.
- snmin
The minimum scale index for the filter.
- snmax
The maximum scale index for the filter.
- sj
The current scale index (j >= 1).
Value
A numeric matrix (1 x length(rx)) representing the convolution result.
Examples
# Internal use example:
sig <- rnorm(512)
filter <- c(0.0625, 0.25, 0.375, 0.25, 0.0625)
res <- fatrous1d(sig, filter, -2, 2, 1)
