5. Generating Datasets

5.1 Generating 1d Datasets

To generate 1d data, first create and select a 1d Wavelet window by choosing the "New 1d Window" item of the Windows menu, or select an existing Wavelet window.

5.1.1 Random

To create a random dataset, choose the Generate Data... item from the Wavelets menu, and the Random item from the attached submenu. The random data generation function then presents the following dialog:

The random type is as follows:

White: random data points chosen from a distribution.
Brown: the first point is chosen from a distribution, all remaining points are chosen by taking a random walk with the seleted distribution.

The distributions are as follows:

Uniform: points are chosen from a uniform distribution on an interval with a given mean and a range from mean - amplitude to mean + amplitude.
Normal: points are chosen from a normal distribution with given mean and a standard deviation equal to amplitude.

Here is an example of a white noise random distribution:

Here is an example of a brown noise random distribution:

5.1.2 Sine

To create a sine dataset, choose the Generate Data... item from the Wavelets menu, and the Sine item from the attached submenu. The sine data generation function then presents the following dialog:

The sine function generates a dataset using the following formula:

     y = amplitude * sin(frequency * x + phase)

Such a result looks like the following:

5.1.3 Sine * sine

To create a sine * sine dataset, choose the Generate Data... item from the Wavelets menu, and the Sine * sine item from the attached submenu. The sine * sine data generation function then presents the following dialog:

The sine * sine function generates a dataset using the following formula:

  y = amplitude * sin(frequency * x + phase) * sin(frequency2 * x + phase2)

Such a result looks like the following:

5.1.4 Chirp

To create a chirp dataset, choose the Generate Data... item from the Wavelets menu, and the Chirp item from the attached submenu. The chirp data generation function then presents the following dialog:

The chirp function generates a dataset using the following formula:

  y = amplitude * sin((acceleration * x) * frequency * x + phase)

Such a result looks like the following:

5.1.5 Sine * chirp

To create a sine * chirp dataset, choose the Generate Data... item from the Wavelets menu, and the Sine * chirp item from the attached submenu. The Sine * chirp data generation function then presents the following dialog:

The sine * chirp function generates a dataset using the following formula:

  y = amplitude * sin((acceleration * x) * frequency * x + phase) *
      sin(frequency2 * x + phase2)

Such a result looks like the following:

5.1.6 Pulse

To create a pulse dataset, choose the Generate Data... item from the Wavelets menu, and the Pulse item from the attached submenu. The pulse data generation function then presents the following dialog:

The pulse function generates one or more Gaussian peaks such that:

The pulse locations can be evenly spaced or placed at random throughout the data array.
The pulse heights can be a constant value, or distributed uniformly between 0 and a maximum value.
The pulse widths can be a constant value, or distributed uniformly between 0 and a maximum value.

A typical pulse dataset looks like the following:

A more interesting pulse dataset (with 100 pulses, random locations, random heights, and random widths) looks like the following:

5.1.7 Ramp

To create a ramp dataset, choose the Generate Data... item from the Wavelets menu, and the Ramp item from the attached submenu. The ramp data generation function then presents the following dialog:

Presumably the function of the settings in the dialog are fairly obvious.

A typical ramp dataset looks like the following:

Contents | Previous Section | Next Section