Determination of statistical upper bound for estimate of noise power spectral density

A system comprising:

• a memory configured to store program instructions;
• and
• a processor configured to access the program instructions from the memory and execute the program instructions, wherein the program instructions, when executed by the processor, cause the processor to implement:
• acquiring n two-channel data sets and storing the n two-channel data sets in a memory, wherein for each two-channel data set said acquiring comprises:
• acquiring a set of samples of a signal a(t) from a first channel, wherein the signal a(t) is a sum of a first interfering noise signal and a target noise signal y(t);
• and
• acquiring a set of samples of a signal b(t) from a second channel, wherein the signal b(t) is a sum of a second interfering noise signal and the target noise signal y(t), wherein the sample set of the signal a(t) and the sample set of the signal b(t) are acquired over the same interval of time;
• determining a statistical upper bound for an estimate of a power spectral density of the target noise signal y(t), wherein the estimate is determined by averaging n complex-valued cross spectral densities to obtain a complex-valued averaged cross spectral density, wherein the n complex-valued cross spectral densities are computed based respectively on the n two-channel data sets, wherein said determining the statistical upper bound includes computing the statistical upper bound based on the number n, the complex-valued averaged cross spectral density, a first spectral density and a second spectral density, wherein first spectral density is an averaged power spectral density for the signal a(t), wherein the second spectral density is an averaged power spectral density for the signal b(t);
• and
• storing the statistical upper bound in a memory medium.

A non-transitory computer-readable memory medium storing program instructions that are executable by a computer system, wherein the program instructions, when executed by the computer system, cause the computer system to implement:

• acquiring n two-channel data sets and storing the n two-channel data sets in a memory, wherein for each two-channel data set said acquiring comprises:
• acquiring a set of samples of a signal a(t) from a first channel, wherein the signal a(t) is a sum of a first interfering noise signal and a target noise signal y(t);
• and
• acquiring a set of samples of a signal b(t) from a second channel, wherein the signal b(t) is a sum of a second interfering noise signal and the target noise signal y(t), wherein the sample set of the signal a(t) and the sample set of the signal b(t) are acquired over the same interval of time;
• determining a statistical upper bound for an estimate of a power spectral density of the target noise signal y(t), wherein the estimate is determined by averaging n complex-valued cross spectral densities to obtain a complex-valued averaged cross spectral density, wherein the n complex-valued cross spectral densities are computed based respectively on the n two-channel data sets, wherein said determining the statistical upper bound includes computing the statistical upper bound based on the number n, the complex-valued averaged cross spectral density, a first spectral density and a second spectral density, wherein the first spectral density is an averaged power spectral density for the signal a(t), wherein the second spectral density is an averaged power spectral density for the signal b(t);
• and
• storing the statistical upper bound in a memory.