Systems and Methods for Noise Removal in an Optical Measurement System

A wearable system for use by a user comprising:

• a head-mountable component configured to be attached to a head of the user, the head-mountable component comprising an array of photodetectors configured to detect photons of light after the light reflects off a target within the head;
• and
• a processing unit configured to:
• determine, based on photon arrival times of the photons at the photodetectors, histogram data associated with the target, the histogram data including noise;
• determine, based on the photon arrival times, a random matrix corresponding to the photon arrival times;
• determine, based on the random matrix, a noise distribution representing a distribution of the noise within the histogram data;
• and
• generate clean histogram data using the noise distribution to filter at least a portion of the noise from the histogram data.

A system comprising:

• a memory storing instructions;
• a processor communicatively coupled to the memory and configured to execute the instructions to:
• determine, based on photon arrival times of photons at a detector after the photons are scattered by a target, histogram data associated with the target, the histogram data including noise;
• determine, based on the photon arrival times, a random matrix corresponding to the photon arrival times;
• determine, based on the random matrix, a noise distribution representing a distribution of the noise within the histogram data;
• and
• generate clean histogram data using the noise distribution to filter at least a portion of the noise from the histogram data.

A method comprising:

• determining, by a processing unit and based on photon arrival times of photons at a detector after the photons are scattered by a target, histogram data associated with the target, the histogram data including noise;
• determining, by the processing unit and based on the photon arrival times, a random matrix corresponding to the photon arrival times;
• determining, by the processing unit and based on the random matrix, a noise distribution representing a distribution of the noise within the histogram data;
• and
• generating, by the processing unit, clean histogram data using the noise distribution to filter at least a portion of the noise from the histogram data.