Multi-dimensional data processing and display

A method of analyzing signals generated by one or more signal generating objects, said method comprising:

• embedding information received from said signals into a multi-dimensional data matrix;
• separating said multi-dimensional data matrix into at least two two-dimensional data matrices;
• concatenating said two-dimensional data matrices along a common dimension to form one concatenated two-dimensional data matrix;
• decomposing said concatenated two-dimensional data matrix to obtain right singular vectors and singular values;
• partitioning said right singular vectors into one or more subspaces based a function of the corresponding singular values;
• modifying selected singular values within each of said subspaces of said right singular vectors;
• enhancing said data in said concatenated two-dimensional data matrix by multiplying said two-dimensional concatenated matrix by a diagonal data matrix of said modified singular values and a matrix of said right singular vectors to generate an enhanced two-dimensional data matrix;
• partitioning said concatenated two-dimensional data matrix to form at least two enhanced two-dimensional data matrices;
• and
• arranging said enhanced concatenated two-dimensional data matrix to form an enhanced multi-dimensional data matrix.

A method of transmitting signals representing multi-dimensional data from one location to another, said multi-dimensional data being embedded with information received from one or more objects, said method comprising:

• arranging said multi-dimensional data in a multi-dimensional matrix of data elements;
• separating said multi-dimensional data matrix to a number of matrices of two-dimensional data;
• concatenating said matrices of two-dimensional data along a common dimension to form one two-dimensional data matrix;
• decomposing said two-dimensional concatenated matrix to obtain singular values and singular vectors for said matrix;
• sending said singular values and said singular vectors to a remote location;
• generating at said remote location said concatenated two-dimensional data matrix from said singular values and said singular vectors;
• arranging at said remote location said two-dimensional data matrix to form said multi-dimensional data matrix.

A method of transmitting signals representing multi-dimensional data from one location to another, said multi-dimensional data being embedded with information received from one or more objects, said method comprising:

• arranging said multi-dimensional data in a multi-dimensional matrix of data elements;
• separating said multi-dimensional data matrix to a number of matrices of two-dimensional data;
• concatenating said matrices of two-dimensional data along a common dimension to form one two-dimensional data matrix;
• decomposing said two-dimensional concatenated matrix to obtain singular values and right singular vectors for said matrix;
• partitioning said right singular vectors into one or more subspaces based a function of the corresponding singular values;
• modifying selected singular values within each of said subspaces of said right singular vectors;
• sending said modified singular values and said right singular vectors to a remote location;
• generating at said remote location said concatenated two-dimensional data matrix from said modified singular values and said right singular vectors;
• arranging at said remote location said two-dimensional data matrix to form said multi-dimensional data matrix.

A method of storing data, said method comprising:

• arranging said data into a two-dimensional data matrix;
• decomposing said two-dimensional data matrix to obtain singular values and singular vectors for said matrix;
• storing said singular values and said singular vectors;
• later retrieving said singular values and said singular vectors;
• and
• generating said two-dimensional data matrix from said retrieved singular values and said singular vectors.

A method of analyzing signals to identify selected attributes of said signals, said method comprising:

• embedding information received from said signals into a two-dimensional data matrix;
• decomposing said two-dimensional data matrix to obtain singular values and singular vectors for said matrix;
• searching said singular values and said singular vectors for information having specific features;
• and
• generating a new two-dimensional data matrix from said singular values and said singular vectors found during said search wherein said new two-dimensional matrix contains said information found during said search.