Sensing Signals with Affine-Harmonically Related Rows of Kronecker-Product Matrices

A system comprising:

• an array of signal modulating elements;
• and
• digital circuitry configured to provide a temporal sequence of measurement patterns to the array of signal modulating elements, wherein the array of signal modulating elements is configured to modulate a signal with the temporal sequence of measurement patterns in order to obtain a modulated signal, wherein said providing the temporal sequence of measurement patterns to the array includes:
• partially loading a given one of the measurement patterns into the array of signal modulating elements, wherein said partially loading the given measurement pattern includes:
• (a) loading first portions of the given measurement pattern that differ from respective first portions of a previous one of measurement patterns, and (b) not loading second portions of the given measurement pattern that agree with respective second portions of the previous measurement pattern, wherein said partially loading is performed by digital circuitry.

A method for facilitating the acquisition of measurements of a signal, the method comprising:

• performing a set of operations, wherein the set of operations includes:
• (a) generating a row index m(i) that identifies a row r[m(i)] of an N×N transform matrix, wherein i is in the range {0, 1, . . . , L−1}, wherein L is less than or equal to B, wherein m(i) is in the range {0, 1, . . . , B−1}, wherein the N×N transform matrix has the form
• HN=HFHB,
• wherein integers F and B are each greater than one, wherein HF is an F×F matrix, wherein HB is a B×B matrix, wherein N=B*F, wherein denotes the Kronecker product;
• (b) generating the row r[m(i)] of the N×N transform matrix;
• (c) loading the row r[m(i)] into an array of signal modulating elements;
• (d) for each k in the range {1, 2, . . . , F−1}, partially loading a row r[m(i)+kB] from the N×N transform matrix into said array, wherein said partially loading the row r[m(i)+kB] involves:
• loading a first subset of elements of the row r[m(i)+kB] that are not currently present in said array, and not loading a second subset of elements of the row r[m(i)+kB] that are currently present in said array.