Reframe as DCT Smooth

Apply a DCT Smooth to the targeted data

Usage

reframe_with_dct_smooth(
  .data,
  ...,
  .token_id_col,
  .by = NULL,
  .time_col = NULL,
  .order = 5
)

Arguments

.data

A data frame

...

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

.token_id_col

<tidy-select> The token ID column.

.by

<tidy-select> A grouping column.

.time_col

A time column.

.order

The number of DCT parameters to return. If NA, all DCT parameters will be returned.

Value

A data frame where the target columns have been smoothed using the DCT.

Details

This is roughly equivalent to applying reframe_with_dct followed by reframe_with_idct. As long as the value passed to .order is less than the length of the each token's data, this will result in a smoothed version of the data.

Identifying tokens

The DCT only works on a by-token basis, so there must be a column that uniquely identifies (or, in combination with a .by grouping, uniquely identifies) each individual token. This column should be passed to .token_id_col.

Order

The number of DCT coefficients to return is defined by .order. The default value is 5. Larger numbers will lead to less smoothing when the Inverse DCT is applied (see idct). Smaller numbers will lead to more smoothing.

If NA is passed to .order, all DCT parameters will be returned, which when the Inverse DCT is supplied, will completely reconstruct the original data.

Sorting by Time

An optional .time_col can also be defined to ensure that the data is correctly arranged by time.

Additionally, if .time_col is provided, the original time column will be included in the output

Examples

library(tidynorm)
library(dplyr)

ggplot2_inst <- require(ggplot2)

speaker_small <- filter(
  speaker_tracks,
  id == 0
)

speaker_dct_smooth <- speaker_small |>
  reframe_with_dct_smooth(
    F1:F3,
    .by = speaker,
    .token_id_col = id,
    .time_col = t,
    .order = 5
  )

if(ggplot2_inst){
  speaker_small |>
    ggplot(
      aes(
        t, F1
      )
    )+
    geom_point()+
    facet_wrap(
      ~speaker,
      scales = "free_x",
      ncol = 1
    )+
    labs(
      title = "Original Data"
    )
}


if(ggplot2_inst){
  speaker_dct_smooth |>
    ggplot(
      aes(
        t, F1
      )
    )+
    geom_point()+
    facet_wrap(
      ~speaker,
      scales = "free_x",
      ncol = 1
    )+
    labs(
      title = "Smoothed Data"
    )
}