hht (version 2.1.6)

HHGramImage: Display Hilbert spectrogram

Description

This function displays the Hilbert spectrogram of EMD and EEMD results.

Usage

HHGramImage(hgram, time.span = NULL, freq.span = NULL, amp.span = NULL, 
    clustergram = FALSE, cluster.span = NULL, imf.list = NULL, 
    fit.line = FALSE, scaling = "none", grid = TRUE, colorbar = TRUE, 
    backcol = c(0, 0, 0), colormap = NULL, pretty = FALSE, ...)

Value

img

The spectrogram image, suitable for plotting with the generic image function

Arguments

hgram

Data structure generated by HHRender.

time.span

Time span to render spectrogram over. NULL will draw the spectrogram over the entire signal.

freq.span

Frequency span to render spectrogram over. NULL plots everything up to the max frequency set when HHRender was run.

amp.span

This is the amplitude span to plot, everything below is set to backcol, everything above is set to max color, NULL scales to the range in the signal.

clustergram

If TRUE, plot the number of times data occupies a given pixel instead of plotting the signal amplitude. This is akin to the weight component returned by the as.image function in the fields package. Only applies when using EEMD. Default is FALSE.

cluster.span

Plots only parts of the signal that have a certain number of data points per pixel (see notes below). This only applies when using EEMD. The pixel range is defined as c(AT LEAST, AT MOST).

imf.list

A vector of IMFs to plot on the spectrogram, the others will not be shown. You must set combine.imfs = FALSE in HHRender for this to work correctly.

fit.line

If TRUE, plot a red line on the trace that shows the part of the signal represented by the spectrogram

.

scaling

determines whether to apply a logarithmic ("log"), or square root ("sqrt") scaling to the amplitude data, default is "none"

grid

Boolean - whether to display grid lines or not

colorbar

Boolean - whether to display amplitude colorbar or not

backcol

What background color to use behind the spectrogram, in a 3 element vector: c(red, green, blue)

colormap

What palette object to use for the spectrogram, defaults to rainbow

pretty

Boolean - to choose nice axes values or to use exactly the ranges given

...

This function supports some optional parameters as well:

  • trace.format - the format of the trace minima and maxima in sprintf format

  • img.x.format - the format of the X axis labels of the image in sprintf format

  • img.y.format - the format of the Y axis labels of the image in sprintf format

  • colorbar.format - the format of the colorbar labels in sprintf format

  • cex.lab - the font size of the image axis labels

  • cex.colorbar - the font size of the colorbar

  • cex.trace - the font size of the trace axis labels

  • img.x.lab - the X - axis label of the image, it defaults to "time"

  • img.y.lab - the Y - axis label of the image, it defaults to "frequency"

  • main - adds a title to the figure

Author

Daniel Bowman danny.c.bowman@gmail.com

Details

This function plots the image generated by HHRender along with the original signal trace. The plotter can use data from both EMD and EEMD runs. When it plots EEMD data, it shows the time frequency plot of every single trial at once. The cluster.span option is useful in this case because it can distinguish ``signal'' (pixels where multiple trials intersect) from ``noise'' (whether from EEMD or from nature) where only one trial contributes data.

See Also

FTGramImage, HHRender, HHSpecPlot

Examples

Run this code
data(PortFosterEvent)

trials <- 10
nimf <- 10
noise.amp <- 6.4e-07
trials.dir <- "test"

set.seed(628)
#Run EEMD (this may take some time)
if (FALSE) EEMD(sig, tt, noise.amp, trials, nimf, trials.dir = trials.dir)

#Compile the results
if (FALSE) EEMD.result <- EEMDCompile(trials.dir, trials, nimf)

#Calculate spectrogram
dt  <-  0.1
dfreq  <-  0.1
if (FALSE) hgram <- HHRender(EEMD.result, dt, dfreq)


#Plot spectrogram 
time.span <- c(4, 10)
freq.span <- c(0, 25)
if (FALSE) HHGramImage(hgram, time.span, freq.span,  
pretty = TRUE, img.x.format = "%.1f", img.y.format = "%.0f", 
main = "Port Foster event - ensemble Hilbert spectrogram")

#Plot intersections

if (FALSE) HHGramImage(hgram, time.span, freq.span, amp.span = c(1, 5),  
clustergram = TRUE, pretty = TRUE, img.x.format = "%.1f", colorbar.format = "%.0f",
img.y.format = "%.0f", main = "Port Foster event - signal stability")

#Decluster
#show only areas with stable signal 
#i.e. each pixel has data from at least 3 EEMD trials
if (FALSE) HHGramImage(hgram, time.span = time.span, freq.span = freq.span,
cluster.span = c(, 10), pretty = TRUE, img.x.format = "%.1f", 
img.y.format = "%.0f",
main = "Port Foster event - ensemble Hilbert spectrogram")

#Log amplitude plot

if (FALSE) HHGramImage(hgram, time.span = time.span, freq.span = freq.span,
scaling = "log", pretty = TRUE, img.x.format = "%.1f", img.y.format = "%.0f",
main = "Port Foster event - ensemble Hilbert spectrogram with log amplitude")

#Log frequency plot
dfreq <- 0.001
if (FALSE) hgram=HHRender(EEMD.result, dt, dfreq, scaling = "log")
if (FALSE) HHGramImage(hgram, time.span, freq.span = c(0, 2),          
pretty = TRUE, img.x.format = "%.1f", img.y.format = "%.2f",
img.y.lab = "log frequency",
main = "Port Foster event - ensemble Hilbert spectrogram with log frequency")

#Only show IMF 1
dfreq <- 0.1
if (FALSE) hgram=HHRender(EEMD.result, dt, dfreq, combine.imfs = FALSE)
if (FALSE) HHGramImage(hgram, time.span, freq.span, imf.list = 1,
pretty = TRUE, img.x.format = "%.1f", img.y.format = "%.0f",
main = "Port Foster event - ensemble Hilbert spectrogram of IMF 1")

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