The present invention relates to a method of displaying 2-dimensional data, and more particularly to a method of visualizing a time sequence of vector information associated with data that may be referenced to a unit or normalized figure, like a circle.
Currently display techniques overlap time sequential data on the same display, making it difficult to distinguish changes that occur over time or to display all the useful data, i.e., they either don't provide an effective means to visualize 2-dimensional data that has more than one value on an axis or don't provide an effective means to identify the time sequencing. Constellation diagrams, Radar diagrams, Spectrograms and waterfall diagrams all have difficulty displaying this data in a way that patterns may be detected.
Constellation diagrams are a current technique for displaying 2-dimensional data, like digital modulation of a radio frequency (RF) signal. The problem with the Constellation diagrams is that all information is plotted on the same 2-dimensional axis and the time sequence is difficult to distinguish. The best approach for determining time sequence is to use a marker that may be manipulated along the time sequence of the display data. This is time consuming and not very effective for determining time related patterns.
Radar diagrams are similar to Constellation diagrams and have similar limitations when trying to address time sequencing.
Spectrograms are another current technique for displaying a time sequence of 2-dimensional data, like trace data. The problem with Spectrogram displays are that it requires that there is one value that represents all the useful data for any given frequency or position in a displayed trace “line”, i.e., there is one axis for which there is a unique value for each measurement on that axis. The information presented in a Constellation diagram is not readily mapped to a Spectrogram-type display without significant confusion or loss of information because there is no axis for which this is true, i.e., there may be two values for each measurement on a particular axis in the Constellation diagram.
Waterfall diagrams are yet another current technique to display a time sequence of 2-dimensional data, similar to Spectrograms. Unfortunately this display technique also uses a surface or sequence of lines to represent all the useful information. Since this has the same limitations on data translation as a Spectrogram, it too doesn't readily translate the information from a Constellation diagram without significant confusion or loss of information.
What is desired is a method for displaying a time sequence of 2-dimensional data that distinguishes changes that occur over time while displaying all the useful data.
Accordingly the present invention provides a method of displaying a time sequence of 2-dimensional data in the form of a normalized or unit figure, such as a circle. The 2-dimensional data is acquired as time sequential data sets. Each data set is represented by a normalized figure, and the perimeter of the normalized figure is color coded according to deviations from a normalized reference standard. The normalized figures for the time sequence are sized to form concentric figures so that patterns of rotational and/or magnitude changes are visually apparent when displayed.
The objects, advantages and other novel features of the present invention are apparent from the following detailed description when read in conjunction with the appended claims and attached drawing.
Referring now to
The display shown in
Color preferably is used to map deviations of the 2-dimensional data from the reference data on the unit circle onto a displayed circle 30 of fixed thickness. One end of the visual spectrum, such as red, may represent deviations 32 greater than the standard represented by the unit circle, and the other end of the visual spectrum, such as blue, may represent deviations 34 smaller than the standard. The closer to the end of the visual spectrum, the greater the deviation of the 2-dimensional data from the standard is being represented. The resulting displayed circle 30 represents one set or acquisition of 2-dimensional data. The display processor 20 generates the normalized figure for each data set, and then compares the 2-dimensional data with the reference data provided according to the normalized standard to determine the deviations. The display processor 20 then uses the determined deviations to code or vary the perimeter of the figure according to the deviation as described above. The resulting coded figure is then passed to the display device 22 to represent the data set for visualization. For each subsequent data set the display processor 20 either changes the diameter of the normalized figure, or otherwise adjusts the diameter of the preceding normalized figures as described below.
Referring now to
This radial difference from circle to circle allows the display to represent a time sequence of 2-dimensional data sets in a manner that provides for the visual detection of patterns within the time sequence. A version of a rotational change is captured in the upper-right portion of FIG. 3—the “red” area 32 is rotating counter-clockwise as time progresses in this example. A magnitude change is captured in the upper-left portion of FIG. 3—the deviation is moving toward the center of the circle segment 34 as time progresses. Thus potentially many patterns that are difficult to detect using current overlapping display techniques, such as a Constellation diagram or a confusing translation necessary for a Spectrogram or waterfall diagram, are readily visible.
An extension of this technique is to use a pointing device, such as a mouse cursor or touch screen pointer either alone or in conjunction with a knob, to select a particular one of the concentric figures for further examination and move in and out from one concentric normalized figure to another. Selecting the particular normalized figure provides the ability to view the corresponding data set using a more traditional display technique to provide additional details that the traditional display technique may provide. When a time sequence figure is not selected, a conventional display may be displayed along with the concentric figure display to facilitate learning the correspondence between the traditional display techniques and this new display technique.
Thus the present invention provides a method of displaying a time sequence of 2-dimensional data as concentric, non-overlapping figures, one figure for each data set, to allow for the detection of time varying patterns, such as rotational and magnitude changes, in a single display.
Number | Name | Date | Kind |
---|---|---|---|
5796869 | Tsuji et al. | Aug 1998 | A |
5953439 | Ishihara et al. | Sep 1999 | A |
6415197 | Prewitt | Jul 2002 | B1 |
7006092 | Guenther | Feb 2006 | B2 |
7218755 | Smaragdis et al. | May 2007 | B2 |
7366736 | Woodard | Apr 2008 | B1 |
7499046 | Wright et al. | Mar 2009 | B1 |
20020076120 | Loce et al. | Jun 2002 | A1 |
20050072605 | Kunzi et al. | Apr 2005 | A1 |
20060063473 | Blake et al. | Mar 2006 | A1 |
20060167699 | Rontynen et al. | Jul 2006 | A1 |
20060282302 | Hussain | Dec 2006 | A1 |
Number | Date | Country | |
---|---|---|---|
20080062209 A1 | Mar 2008 | US |