# US 2021/0278511 A1 · Radar calibration

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- Number: US 2021/0278511 A1
- Document ID: US20210278511A1
- Status: Published application
- Kind: A1
- Application number: 16/807,608
- Filed: 2020-03-03
- Published: 2021-09-09
- Earliest claimed: 2020-03-03
- Assignees: Ford Global Technologies, LLC
- Applicants: Ford Global Technologies, LLC
- Inventors: Krishanth Krishnan; Sangjin Lee; Ankit Girish Vora; Siddharth Agarwal
- Web page: https://patentgrep.com/patent/US20210278511A1

## CPC

- G01S 7/4026: {Antenna boresight}
- G01S 7/497: Means for monitoring or calibrating
- G01S 7/4004: {of parts of a radar system}
- G01S 7/4082: {using externally generated reference signals, e.g. via remote reflector or transponder}
- G01S 13/34: using transmission of continuous, frequency-modulated waves while heterodyning the received signal, or a signal derived therefrom, with a locally-generated signal related to the contemporaneously transmitted signal
- G01S 13/86: Combinations of radar systems with non-radar systems, e.g. sonar, direction finder
- G01S 13/865: {Combination of radar systems with lidar systems}
- G01S 13/931: of land vehicles
- G01S 2013/932: {using own vehicle data, e.g. ground speed, steering wheel direction}
- G01S 2013/93271: {in the front of the vehicles}
- G01S: RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES

## Abstract

A calibration system for a radar sensor and a method of using the system are disclosed. The method may comprise (a) (a) receiving, from a first sensor in a vehicle, a plurality of global navigation satellite system (GNSS) parameters, wherein the plurality of GNSS parameters define a unique terrestrial position of the first sensor; (b) receiving, from a radar sensor in the vehicle, a plurality of radar parameters, wherein the plurality of radar parameters define a position of a calibration target relative to the radar sensor; (c) repeating the receiving of (a) and (b) at additional unique terrestrial positions of the first sensor; (d) using the plurality of GNSS parameters received in (a) and (c) and the plurality of radar parameters received in (b) and (c), determining corresponding positions of the calibration target; and (e) using the corresponding positions of the calibration target, determining radar calibration parameters.

## Claims

### Claim 1

A method, comprising:
(a) receiving, from a first sensor in a vehicle, a plurality of global navigation satellite system (GNSS) parameters, wherein the plurality of GNSS parameters define a unique terrestrial position of the first sensor;
(b) receiving, from a radar sensor in the vehicle, a plurality of radar parameters, wherein the plurality of radar parameters define a position of a calibration target relative to the radar sensor;
(c) repeating the receiving of (a) and (b) at additional unique terrestrial positions of the first sensor;
(d) using the plurality of GNSS parameters received in (a) and (c) and the plurality of radar parameters received in (b) and (c), determining corresponding positions of the calibration target; and
(e) using the corresponding positions of the calibration target, determining radar calibration parameters.

### Claim 2 (depends on 1)

The method of claim 1, wherein (a), (b), and (c) are repeated to receive a threshold quantity of unique terrestrial positions.

### Claim 3 (depends on 1)

The method of claim 1, wherein (e) further comprises: determining the radar calibration parameters using a first transformation matrix relative to a frame of reference of the first sensor and using a second transformation matrix relative to a frame of reference of the second sensor.

### Claim 4 (depends on 3)

The method of claim 3, wherein at least one of the first or second transformation matrices is a rotation matrix.

### Claim 5 (depends on 4)

The method of claim 4, wherein (e) further comprises: determining a plurality of Euclidean differences using the corresponding positions of the calibration target.

### Claim 6 (depends on 5)

The method of claim 5, wherein (e) further comprises: determining a summation of the plurality of Euclidean differences; and determining the radar calibration parameters using an optimization function that determines a set of radar calibration parameters that minimize the summation.

### Claim 7 (depends on 6)

The method of claim 6, wherein the set of radar calibration parameters comprise either: an x-parameter, a y-parameter, and a yaw-parameter.

### Claim 8 (depends on 6)

The method of claim 6, further comprising: determining an upper bound or a lower bound of each of the radar calibration parameters.

### Claim 9 (depends on 1)

The method of claim 1, further comprising: programming a computer or the radar sensor with the radar calibration parameters.

### Claim 10 (depends on 1)

The method of claim 1, wherein the calibration target is fixed during (b) and (c).

### Claim 11 (depends on 1)

The method of claim 1, wherein the first sensor is within a threshold distance of the calibration target during (b) and (c).

### Claim 12 (depends on 1)

The method of claim 1, wherein the radar sensor is a two-dimensional (2D) radar sensor or a three-dimensional (3D) radar sensor, wherein the first sensor is one of a Global Positioning System (GPS) device or a Global Navigation Satellite System (GLONASS) device.

### Claim 13 (depends on 1)

The method of claim 1, wherein the calibration target is a corner reflector.

### Claim 14

A calibration system for a radar sensor in a vehicle, comprising:
a first sensor in the vehicle;
a calibration target; and
a computer, comprising one or more processors and memory storing instructions executable by the one or more processors, the instructions comprising to:
(a) receive, from a first sensor in the vehicle, a plurality of global navigation satellite system (GNSS) parameters, wherein the plurality of GNSS parameters define a unique terrestrial position of the first sensor;
(b) receive, from the radar sensor in the vehicle, a plurality of radar parameters, wherein the plurality of radar parameters define a position of a calibration target relative to the radar sensor;
(c) repeat the receiving of (a) and (b) at additional unique terrestrial positions of the first sensor;
(d) using the plurality of GNSS parameters received in (a) and (c) and the plurality of radar parameters received in (b) and (c), determine corresponding positions of the calibration target; and
(e) using the corresponding positions of the calibration target, determine radar calibration parameters.

### Claim 15 (depends on 14)

The system of claim 14, wherein (e) further comprises to: determine the radar calibration parameters using a first transformation matrix relative to a frame of reference of the first sensor and using a second transformation matrix relative to a frame of reference of the second sensor.

### Claim 16 (depends on 15)

The system of claim 15, wherein (e) further comprises to: determine a plurality of Euclidean differences using the corresponding positions of the calibration target.

### Claim 17 (depends on 16)

The system of claim 16, wherein (e) further comprises to: determine a summation of the plurality of Euclidean differences; and determine the radar calibration parameters using an optimization function that determines a set of radar calibration parameters that minimize the summation.

### Claim 18 (depends on 17)

The system of claim 17, wherein the set of radar calibration parameters comprise either:
an x-parameter, a y-parameter, and a yaw-parameter.

### Claim 19 (depends on 14)

The system of claim 14, wherein the instructions further comprise to: program a computer or the radar sensor with the radar calibration parameters.

### Claim 20 (depends on 14)

The system of claim 14, wherein the calibration target is fixed during (b) and (c).
