Method and Apparatus for Generation of Arbitrary Waveforms with Large Bandwidth and Long Time Apertures

An apparatus comprising:

• means for storing a first waveform in a circulating coherent storage device;
• means for generating a next waveform;
• means for generating a shifted replica by frequency shifting, by a frequency shift, one of the next waveform or the waveform in the circulating coherent storage device;
• and
• means for storing a combined waveform by coherently combining the shifted replica and one of the next waveform or the waveform in the circulating coherent storage device which is not frequency shifted.

A non-transitory computer-readable medium carrying one or more sequences of instructions, wherein execution of the one or more sequences of instructions by one or more processors causes an apparatus to:

• determine a target broadband waveform;
• determine a spectrum and phase for a first waveform in a circulating coherent storage device;
• and
• determine a spectrum and phase for a next waveform,
• wherein a frequency shifted replica of one of the first waveform or the next waveform coherently combined with one of the first waveform or the next waveform which is not frequency shifted generates a combined waveform that is stored in the circulating coherent storage device and that substantively matches at least a portion of the target broadband waveform.

An apparatus comprising:

• at least one processor;
• and
• at least one memory including one or more sequences of instructions,
• the at least one memory and the one or more sequences of instructions configured to, with the at least one processor, cause the apparatus to perform at least the following:
• determine a target broadband waveform;
• determine a spectrum and phase for a first waveform in a circulating coherent storage device;
• and
• determine a spectrum and phase for a next waveform,
• wherein a frequency-shifted replica of one of the first waveform and the next waveform and a non-shifted waveform of the first waveform and the next waveform are coherently combined to generate a combined waveform that is stored in the circulating coherent storage device and that substantively matches at least a portion of the target broadband waveform.

An apparatus comprising:

• a source of a carrier frequency waveform;
• a modulator configured to impose a next waveform on the carrier frequency waveform;
• a circulating coherent storage device configured to store a coherent interaction between multiple waveforms;
• and
• a frequency shifter configured to generate a shifted replica by frequency shifting, by a frequency shift, one of the next waveform or a waveform in the circulating coherent storage device.

A method for producing a broadband arbitrary waveform, comprising:

• storing a first waveform in a circulating coherent storage device;
• generating a next waveform;
• generating a shifted replica by frequency shifting, by a frequency shift, one of the next waveform or the waveform in the circulating coherent storage device;
• and
• storing a combined waveform by coherently combining the shifted replica and one of the next waveform or the waveform in the circulating coherent storage device which is not frequency shifted.