getRandomWalk: Random walk

In soundgen: Sound Synthesis and Acoustic Analysis

Random walk

Description

Generates a random walk with flexible control over its range, trend, and smoothness. It works by calling stats::rnorm at each step and taking a cumulative sum of the generated values. Smoothness is controlled by initially generating a shorter random walk and upsampling.

Usage

getRandomWalk(
  len,
  rw_range = 1,
  rw_smoothing = 0.2,
  method = c("linear", "spline")[2],
  trend = 0
)

Arguments

len	an integer specifying the required length of random walk. If len is 1, returns a single draw from a gamma distribution with mean=1 and sd=rw_range
rw_range	the upper bound of the generated random walk (the lower bound is set to 0)
rw_smoothing	specifies the amount of smoothing, basically the number of points used to construct the rw as a proportion of len, from 0 (no smoothing) to 1 (maximum smoothing to a straight line)
method	specifies the method of smoothing: either linear interpolation ('linear', see stats::approx) or cubic splines ('spline', see stats::spline)
trend	mean of generated normal distribution (vectors are also acceptable, as long as their length is an integer multiple of len). If positive, the random walk has an overall upwards trend (good values are between 0 and 0.5 or -0.5). Trend = c(1,-1) gives a roughly bell-shaped rw with an upward and a downward curve. Larger absolute values of trend produce less and less random behavior

Value

Returns a numeric vector of length len and range from 0 to rw_range.

Examples

plot(getRandomWalk(len = 1000, rw_range = 5, rw_smoothing = 0))
plot(getRandomWalk(len = 1000, rw_range = 5, rw_smoothing = .2))
plot(getRandomWalk(len = 1000, rw_range = 5, rw_smoothing = .95))
plot(getRandomWalk(len = 1000, rw_range = 5, rw_smoothing = .99))
plot(getRandomWalk(len = 1000, rw_range = 5, rw_smoothing = 1))
plot(getRandomWalk(len = 1000, rw_range = 15,
  rw_smoothing = .2, trend = c(.1, -.1)))
plot(getRandomWalk(len = 1000, rw_range = 15,
  rw_smoothing = .2, trend = c(15, -1)))

soundgen documentation built on Sept. 12, 2024, 6:29 a.m.