mwaved (version 1.1.8)

boxcarBlur: Multichannel box car blur

Description

Create blur of the box car type.

Usage

boxcarBlur(n, width)

Arguments

n

An integer specifying the number of observations in each channel

width

A numeric vector of length m where each element specifies the box car widths to blur in each channel.

Value

A n by m matrix of normalised box car blur.

Details

Creates a matrix of dimension n by m which contains a normalised (unit energy in each column) set of box car blur functions. The generated box-car functions are governed by an input vector BA which specifies the box car width. For the method to adhere to the theory described in Wishart (2014), the box car widths should be a Badly Approximable (BA) number.

See Also

gammaBlur, blurSignal

Examples

# NOT RUN {
n <- 1024
width <- 1/sqrt(c(89,353))

# Plot the box car blur
blurMat <- boxcarBlur(n, width)
x <- (1:n)/n
matplot(x, blurMat, type = 'l', main = paste('Set of box car blur functions'))

# Plot a LIDAR signal and its multichannel box car blurred version
signal <- makeLIDAR(n)
matplot(x, signal, type = 'l', main = 'LIDAR test signal')
blurredSignal <- blurSignal(signal, blurMat)
matplot(x, blurredSignal, type = 'l', main = 'Box car blurred LIDAR test signals')
# }