Methods and Systems for Decimating Waveforms Using Second Order Derivative

A method of decimating a waveform, comprising:

• dividing the waveform into a plurality of sections;
• performing a second order derivative operation on the sections and determining corresponding derivative values;
• if the derivative value is less than a positive threshold value and is greater than a negative threshold value, classifying the section as a linear region;
• if the derivative value is greater than the positive threshold value or is less than the negative threshold value, classifying the section as a non-linear region;
• and
• decimating data points of the linear regions using a coarse decimation ratio to generate coarsely decimated data points;
• decimating data points of the non-linear regions using a fine decimation ratio to generate finely decimated data points;
• and
• reconstructing a waveform using the coarsely and finely decimated data points.

A non-transitory computer-readable medium having program code recorded thereon, the program code comprising:

• program code to divide a waveform into a plurality of sections;
• program code to perform a second order derivative operation on the sections and to determine corresponding derivative values;
• program code to classify the section as a linear region if the derivative value is within a threshold range and to classify the section as a non-linear region if the derivative value is outside the threshold range;
• program code to decimate data points of the linear regions using a coarse decimation to generate coarsely decimated data points;
• program code to decimate data points of the non-linear regions using a fine decimation to generate finely decimated data points;
• and
• program code to reconstruct a waveform using the coarsely and finely decimated data points.

A non-transitory computer-readable medium having program code recorded thereon, the program code comprising:

• program code to divide a waveform into a plurality of sections;
• program code to perform a second order derivative operation on the sections and to determine corresponding derivative values;
• program code to classify the section as a linear region if the derivative value is less than a positive threshold value and is greater than a negative threshold value;
• program code to classify the section as a non-linear region if the derivative value is greater than the positive threshold value or is less than the negative threshold value;
• program code to decimate data points of the linear regions using a coarse decimation ratio to generate coarsely decimated data points;
• program code to decimate data points of the non-linear regions using a fine decimation ratio to generate finely decimated data points;
• and
• program code to reconstruct a waveform using the coarsely and finely decimated data points.

A system for decimating a waveform, comprising:

• a storage device configured to store the waveform;
• a resampler coupled to receive the waveform and configured divide the waveform into a plurality of sections, the resampler configured to perform a second order derivative operation on the sections and to determine corresponding derivative values, the resampler configured to classify the section as a linear region if the derivative value is within a threshold range and to classify the section as a non-linear region if the derivative value is outside the threshold range, the resampler configured to decimate data points of the linear regions using a coarse decimation to generate coarsely decimated data points and configured to decimate data points of the non-linear regions using a fine decimation to generate finely decimated data points, the resampler configured to reconstruct a waveform using the coarsely and finely decimated data points;
• and
• a display monitor coupled to receive the reconstructed waveform and to display the reconstructed waveform.