Linearization of chirp in coherent lidar systems
Disclosed herein are systems and methods for linearizing frequency chirp in a frequency-modulated continuous wave (FMCW) coherent LiDAR system. Exemplary methods can include generating a continuous wave laser signal having a frequency characteristic, in which the frequency characteristic can include a frequency chirp over a frequency band in at least one period; and receiving a signal based on the generated laser signal. The methods can further include mixing the received signal with a local oscillator signal, the local oscillator signal having the frequency characteristic; determining at least one beat frequency based on the mixed signal; sampling the mixed signal at a rate equal to at least two times the beat frequency; determining a correction signal based on the sampled signal; and applying the correction signal to the laser signal.
1. A method for linearizing frequency chirp in a frequency-modulated continuous wave (FMCW) coherent LiDAR system, the method comprising:
generating a continuous wave laser signal having a frequency characteristic, the frequency characteristic comprising a frequency chirp over a frequency band in at least one period;
receiving a signal based on the generated laser signal;
mixing the received signal with a local oscillator signal, the local oscillator signal having the frequency characteristic;
determining at least one beat frequency based on the mixed signal;
sampling the mixed signal at a rate equal to at least two times the beat frequency;
determining a correction signal based on the sampled signal; and
providing the correction signal to a modulator coupled to a laser, the laser configured to generate the continuous wave laser signal, wherein an ideal signal has an ideal frequency characteristic, the ideal frequency characteristic comprising a linear frequency chirp over the frequency band in the at least one period, and for a given sample in the sampled signal, the correction signal indicates a difference between the frequency characteristic of the laser signal and the ideal frequency characteristic.
2. The method of claim 1 , wherein determining at least one beat frequency of the mixed signal comprises determining a maximum beat frequency, and wherein sampling the mixed signal is at a rate equal to at least two times the maximum beat frequency.
3. The method of claim 1 , further comprising scanning a reference reflector with the generated laser signal.
4. The method of claim 1 , wherein the linear frequency chirp comprises a first linear chirp having a positive slope and a second linear chirp having a negative slope.
5. The method of claim 1 , wherein determining the correction signal based on the sampled signal comprises:
determining an average frequency of the sampled signal; and
determining the ideal signal based on the average frequency.
6. The method of claim 1 , wherein the received signal is a reflected signal from a target.
7. The method of claim 6 , further comprising:
determining at least one of a range or a velocity of the target based on the reflected signal.
8. The method of claim 1 , further comprising applying the correction signal to the laser signal.
9. A system for linearizing frequency chirp in a frequency-modulated continuous wave (FMCW) coherent LiDAR system, the system comprising:
a laser configured to generate a continuous wave laser signal having a frequency characteristic, the frequency characteristic comprising a frequency chirp over a frequency band in at least one period;
a mixer coupled to an output of the laser and configured to mix:
a received signal based on the generated laser signal; and
a local oscillator signal having the frequency characteristic;
an analog-to-digital converter coupled to an output of the mixer and configured to sample the mixed signal at a rate equal to at least two times a beat frequency of the mixed signal;
a processor coupled to an output of the converter and configured to determine a correction signal based on the sampled signal; and
a modulator coupled to the laser and configured to apply the correction signal to the laser signal, wherein an ideal signal has an ideal frequency characteristic, the ideal frequency characteristic comprising a linear frequency chirp over the frequency band in the at least one period, and for a given sample in the sampled signal, the correction signal indicates a difference between the frequency characteristic of the laser signal and the ideal frequency characteristic.
10. The system of claim 9 , wherein the beat frequency is a maximum beat frequency and wherein the converter is configured to sample the mixed signal at a rate equal to at least two times the maximum beat frequency.
11. The system of claim 9 , further comprising:
a scanner coupled to the output of the laser and configured to scan at least one of a reference reflector or a target with the generated laser signal.
12. The system of claim 11 , wherein the mixer is configured to receive a reflection signal from the scanner, and wherein the signal is the reflection signal based on the scan of the reference reflector.
13. The system of claim 9 , wherein the linear frequency chirp comprises a first linear chirp having a positive slope and a second linear chirp having a negative slope.
14. The system of claim 9 , wherein the processor is further configured to:
determine an average frequency of the sampled signal; and
determine the ideal signal based on the average frequency.