tidynorm (version 0.4.0)

norm_dct_nearey: Nearey DCT Normalization

Description

Nearey DCT Normalization

Usage

norm_dct_nearey(
  .data,
  ...,
  .token_id_col,
  .by = NULL,
  .by_formant = FALSE,
  .param_col = NULL,
  .drop_orig = FALSE,
  .names = "{.formant}_lm",
  .silent = opt("tidynorm.silent")
)

Value

A data frame of Nearey normalized DCT coefficients

Arguments

.data

A data frame containing vowel formant data

...

<tidy-select> One or more unquoted expressions separated by commas. These should target the vowel formant data columns.

.token_id_col

<data-masking> A column that identifies token ids.

.by

<tidy-select> A selection of columns to group by. Typically a column of speaker IDs.

.by_formant

Whether or not the normalization method is formant intrinsic.

.param_col

A column identifying the DCT parameter number.

.drop_orig

Should the originally targeted columns be dropped.

.names

A glue::glue() expression for naming the normalized data columns. The "{.formant}" portion corresponds to the name of the original formant columns.

.silent

Suppress normalization information messages when running a norm_*() function. (Defaults to FALSE, overwritable using option 'tidynorm.silent' or environment variable 'R_TIDYNORM_TIDYNORM_SILENT')

Details

Important: This function assumes that the DCT coefficients were estimated over log-transformed formant values.

When formant extrinsic: $$ \hat{F}_{ij} = \log(F_{ij}) - L $$ $$ L = \frac{1}{MN}\sum_{i=1}^M\sum_{j=1}^N \log(F_{ij}) $$

When formant intrinsic: $$ \hat{F}_{ij} = \log(F_{ij}) - L_{i} $$

$$ L_i = \frac{1}{N}\sum_{j=1}^{N}\log(F_{ij}) $$

Where

• \(\hat{F}\) is the normalized formant

• \(i\) is the formant number

• \(j\) is the token number

References

Nearey, T. M. (1978). Phonetic Feature Systems for Vowels [Ph.D.]. University of Alberta.

Examples

library(tidynorm)
library(dplyr)
ggplot2_inst <- require(ggplot2)

speaker_dct <- speaker_tracks |>
  mutate(
    across(
      F1:F3,
      log
    )
  ) |>
  reframe_with_dct(
    F1:F3,
    .by = speaker,
    .token_id_col = id,
    .time_col = t
  )

# Normalize DCT coefficients
speaker_dct_norm <- speaker_dct |>
  norm_dct_nearey(
    F1:F3,
    .by = speaker,
    .token_id_col = id,
    .param_col = .param
  )

# Apply average and apply inverse dct
# to plot tracks
track_norm_means <- speaker_dct_norm |>
  summarise(
    .by = c(speaker, vowel, .param),
    across(
      ends_with("_lm"),
      mean
    )
  ) |>
  reframe_with_idct(
    ends_with("_lm"),
    .by = speaker,
    .token_id_col = vowel,
    .param_col = .param
  )


if (ggplot2_inst) {
  track_norm_means |>
    ggplot(
      aes(F2_lm, F1_lm, color = speaker)
    ) +
    geom_path(
      aes(
        group = interaction(speaker, vowel)
      )
    ) +
    scale_x_reverse() +
    scale_y_reverse() +
    scale_color_brewer(palette = "Dark2") +
    coord_fixed()
}