Method and apparatus for automatic gain control for nonzero saturation rates

1. A method for automatic gain control comprising:

splitting a signal into consecutive blocks;

applying a measurement matrix to each said block separately to produce a plurality of measurements for each consecutive block;

indexing each successive block of measurements;

applying a window to each successive block of measurements;

applying a gain to a block of measurements;

quantizing said block of measurements to produce a set of output measurements;

calculating a saturation rate of said block of measurements; and

calculating a new gain to apply to a next block of measurements by adding an error between a desired non-zero saturation rate and said computed saturation rate of said block to said gain.

2. A method according to claim 1 , wherein said window applied to each block comprises a boxcar window.

3. A method according to claim 1 wherein quantizing step comprises uniform quantizing.

4. A method according to claim 1 wherein said quantizing step comprises non-uniform quantizing.

5. A method for automatic gain control comprising the steps of:

measuring a signal using compressed sensing to produce a sequence of blocks of measurements;

applying a gain to one of said blocks of measurements;

adjusting said gain based upon a deviation of a saturation rate of said one of said blocks of measurements from a predetermined nonzero saturation rate; and

applying said adjusted gain to a second of said blocks of measurements.

6. A method for automatic gain control comprising the steps of:

applying a gain to a signal;

computing a saturation rate of a group of measurements of said signal; and

adjusting said gain based upon a difference between said computed saturation rate of said group of measurements of said signal and a predetermined nonzero saturation rate.

7. A method for automatic gain control according to claim 6 , wherein said predetermined nonzero saturation rate is approximately 0.2.