Noise reduction filter for signal processing

An apparatus comprising:

• one or more processors;
• and
• a non-transitory memory storing computer-executable instructions that, when executed by the one or more processors, cause the apparatus to:
• receive, using a receiver, a data signal;
• generate, based on the received data signal, a first data set comprising ordered pairs of intensity values that indicate intensity of the data signal and differential intensity values that indicate differential intensity of the data signal;
• sort the first data set at least by sorting the intensity values of the first data set and sorting the differential intensity values of the first data set;
• apply a weighted multiplication function to the sorted first data set;
• rearrange the ordered pairs in the weighted first data set to correspond to the original order of ordered pairs in the first data set;
• generate a second data set at least by adding the intensity values to their corresponding differential intensity values of the ordered pairs in the rearranged data set;
• and
• generate an output data set at least by inserting a first intensity value of the first data set into a first position of the second data set.

An apparatus comprising:

• a receiver configured to electronically couple to a data source and receive an input data signal from the data source;
• a sampler configured to sample the input data from the data source;
• one or more processors electronically coupled to the sampler;
• and
• a non-transitory memory storing computer instructions that, when executed by the one or more processors, cause the apparatus to:
• receive, using the receiver, the sampled input data from the data source;
• generate, based on the sampled data, a first data set comprising ordered pairs of intensity values that indicate intensity of the data signal and differential intensity values that indicate differential intensity of the data signal;
• sort the first data set at least by sorting the intensity values of the first data set and sorting the differential intensity values of the first data set;
• apply a weighted multiplication function to the sorted first data set;
• rearrange the ordered pairs in the weighted first data set to correspond to the original order of ordered pairs in the first data set;
• generate a second data set at least by adding the intensity values to their corresponding differential intensity values of the ordered pairs in the rearranged data set;
• and
• generate an output data set at least by inserting a first intensity value of the first data set into a first position of the second data set.