Method and system for synthetically sampling input signal

1. A system for synthetically sampling an input signal to provide a sampled signal, the system comprising:

a sample clock configured to generate a sampling signal having a sampling frequency; and

a mixer configured to receive the sampling signal and the input signal, and to output an intermediate frequency (IF) signal having a first harmonic image by mixing the sampling signal and the input signal, wherein an offset voltage is introduced into the mixer with the sampling signal to add a baseband image to the first harmonic image, the offset voltage being adjusted so that the baseband image of the IF signal has the same magnitude as the first harmonic image of the IF signal.

2. The system of claim 1 , further comprising:

a low-pass filter configured to limit the IF signal output by the mixer to a bandwidth centered on zero and contained between one half of the sampling frequency and negative one half of the sampling frequency, and to output a filtered IF signal as the sampled signal, the sampled signal containing the entire signal content of the input signal.

3. The system of claim 1 , wherein the mixer comprises a doubly balanced mixer.

4. The system of claim 3 , wherein the offset voltage comprises a DC offset.

5. The system of claim 2 , wherein the sampled signal is recorded by an oscilloscope comprising an analog-to-digital converter (ADC), and

wherein the sample clock is phase locked to a digitizing process in the ADC of the oscilloscope, such that a waveform of the sampled signal is digitized at a proper phase.

6. A system for synthetically sampling an input signal to provide a sampled signal, the system comprising:

a sample clock configured to generate an sampling signal having a sampling frequency;

a splitter configured to split the input signal into a first split input signal and a second split input signal;

a mixer configured to receive the sampling signal and the first split input signal, and to output an intermediate frequency (IF) signal having an intermediate frequency by mixing the sampling signal and the first split input signal, the IF signal comprising a first harmonic image; and

a combiner configured to sum the IF signal output by the mixer and the second split input signal having a baseband image output by the splitter, and to output a combined IF signal at the intermediate frequency, wherein a magnitude of at least one of the IF signal and the second split input signal is adjusted, so that a magnitude of the baseband image provided by the second split input signal matches a magnitude of the first harmonic image provided by the IF signal in the combined IF signal output by the combiner.

7. The system of claim 6 , further comprising:

a low-pass filter configured to limit the combined IF signal output by the combiner to a bandwidth centered on zero and contained between one half of the sampling frequency and negative one half of the sampling frequency, and to output a filtered combined signal as the sampled signal, the sampled signal containing the entire signal content of the input signal.

8. The system of claim 7 , wherein the sampling signal has zero offset.

9. The system of claim 7 , wherein the splitter comprises one of a diplexer, a power splitter or an amplifier having two outputs.

10. The system of claim 7 , wherein the combiner comprises a power splitter connected in reverse order or an amplifier having two inputs.

11. The system of claim 7 , further comprising:

a buffer amplifier configured to adjust the magnitude of the IF signal.

12. The system of claim 7 , wherein the sampled signal is recorded by a receiver comprising an analog-to-digital converter (ADC), and

wherein the sample clock is phase locked to a digitizing process in the ADC, such that a waveform of the sampled signal is digitized at a proper phase.

13. A method of synthetically sampling a radio frequency (RF) input signal to provide a sampled signal, the method comprising:

receiving the RF input signal and a sampling signal having a sampling frequency;

mixing at least a portion of the RF input signal and the sampling signal and adding a baseband image to provide an intermediate frequency (IF) signal having a first harmonic image and the baseband image; and

adjusting a magnitude of at least one of the first harmonic image and the baseband image so that the magnitude of the first harmonic image matches the magnitude of the baseband image.

14. The method of claim 13 , further comprising:

filtering the IF signal to limit an upper end of a bandwidth of the IF signal to one half of the sampling frequency to provide the sampled signal, the sampled signal containing the entire signal content of the input signal.

15. The method of claim 13 wherein adding the baseband image comprises introducing a DC offset with the sampling signal to a mixer receiving the RF input signal and the sampling signal, and

wherein adjusting the magnitude of at least one of the first harmonic image and the baseband image comprises adjusting the DC offset to adjust the magnitude of the baseband image to match the magnitude of the first harmonic image of the IF signal.

16. The method of claim 13 , further comprising:

splitting the RF input signal into a first split input signal and a second split input signal, each of the first and second split input signals having a full bandwidth of the RF signal, wherein mixing at least a portion of the RF input signal and the sampling signal comprises mixing the first split input signal and the sampling signal to provide the IF signal having the first harmonic image,

wherein adding the baseband image comprises summing the IF signal having the first harmonic image and the second split signal having the baseband image to provide a combined IF signal.

17. The method of claim 16 , wherein adjusting the magnitude of at least one of the first harmonic image and the baseband image comprises adjusting the magnitude of the first harmonic image of the IF signal before summing the IF signal and the second split input signal.

18. The method of claim 14 , further comprising:

phase locking the sampling signal and the sampled signal; and

digitizing the phase locked sampled signal.

19. The system of claim 2 , wherein signal content of the IF signal outside the bandwidth of the low-pass filter is captured from the first harmonic image, portions of which extend into the bandwidth of the low-pass filter.

20. The system of claim 7 , wherein signal content of the IF signal outside the bandwidth of the low-pass filter is captured from the first harmonic image, portions of which extend into the bandwidth of the low-pass filter.