HzToERB: Convert Hz to ERB rate

In soundgen: Sound Synthesis and Acoustic Analysis

Convert Hz to ERB rate

Description

Converts from Hz to the number of Equivalent Rectangular Bandwidths (ERBs) below input frequency. See https://www2.ling.su.se/staff/hartmut/bark.htm and https://en.wikipedia.org/wiki/Equivalent_rectangular_bandwidth

Usage

HzToERB(x, method = c("linear", "quadratic")[1])

ERBToHz(x, method = c("linear", "quadratic")[1])

Arguments

x	vector or matrix of frequencies
method	approximation to use: "linear" = Glasberg & Moore (1990), "quadratic" = Moore & Glasberg (1983)

Functions

• ERBToHz(): Convert ERB rate to Hz

References

• Moore, B. C., & Glasberg, B. R. (1983). Suggested formulae for calculating auditory-filter bandwidths and excitation patterns. The journal of the acoustical society of America, 74(3), 750-753.

• Glasberg, B. R., & Moore, B. C. (1990). Derivation of auditory filter shapes from notched-noise data. Hearing research, 47(1-2), 103-138.

See Also

HzToOther

Examples

HzToERB(c(-20, 20, 100, 440, 1000, NA))

f = 20:20000
erb_lin = HzToERB(f, 'linear')
erb_quadratic = HzToERB(f, 'quadratic')
plot(f, erb_lin, log = 'x', type = 'l')
points(f, erb_quadratic, col = 'blue', type = 'l')

freqs_Hz = c(-20, 20, 100, 440, 1000, 20000, NA)
e_lin = HzToERB(freqs_Hz, 'linear')
ERBToHz(e_lin, 'linear')

e_quad = HzToERB(freqs_Hz, 'quadratic')
ERBToHz(e_quad, 'quadratic')

# compare with the bark scale:
barks = HzToOther(f, 'bark')
points(f, barks / max(barks) * max(erb_lin),
  col = 'red', type = 'l', lty = 2)

soundgen documentation built on Dec. 1, 2025, 9:08 a.m.