# US 5,703,592 A · Method and apparatus for estimating the detection range of a radar

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- Number: US 5,703,592 A
- Document ID: US5703592A
- Status: Granted
- Kind: A
- Application number: 08/583,508
- Filed: 1996-01-05
- Granted: 1997-12-30
- Earliest claimed: 1995-01-17
- Assignees: Racal Radar Defence Systems Limited
- Inventors: Simon Watts
- Web page: https://patentgrep.com/patent/US5703592A

## CPC

- G01S 7/2927: {by deriving and controlling a threshold value}
- G01S 13/5244: {Adaptive clutter cancellation (specially adapted for airborne MTI, G01S13/5242)}
- G01S 13/5246: {post processors for coherent MTI discriminators, e.g. residue cancellers, CFAR after Doppler filters}
- 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 method and apparatus estimate the detection range R.sub.1 of a radar in the presence of noise and clutter. The radar return signals from a range cell under test and from a plurality of surrounding range cells on either side of the range cell under test are measured. From the values of the return signals from the surrounding cells, a factor .alpha. is determined. The mean value of those signals is then multiplied to form a threshold value for determining the presence or absence of a target. A desired false alarm rate is maintained, however. A number of radar return signals sufficient substantially to average out local variations in clutter are used to determine a mean clutter value m.sub.c. A value which is a function of .alpha. and m.sub.c is output as the estimate of detection range R.sub.1.

## Claims

### Claim 1

A method of estimating a detection range R.sub.1 of a radar when noise and clutter are present comprising the steps of:
measuring radar return signals from successive range cells under test,
determining a factor .alpha. by which the mean value of those signals is to be multiplied to form a threshold value for determining the presence or absence of a target whilst maintaining a desired false alarm rate,
determining, from a number of radar return signals sufficient substantially to average out local variations in clutter, a mean clutter value m.sub.c, and
outputting as the estimate of detection range R.sub.1 a value which is a function of .alpha. and m.sub.c.

### Claim 2 (depends on 1)

A method as claimed in claim 1, wherein R.sub.1 is given by ##EQU7## where k is a constant for given values of the radar antenna gain G in the direction of the target, the mean noise level m.sub.n and minimum radar cross section .sigma. of a target which is to be detectable.

### Claim 3 (depends on 2)

A method as claimed in claim 2, wherein ##EQU8## where K.sub.r is a constant determined by the radar operating parameters and characteristics.

### Claim 4 (depends on 1)

A method as claimed in claim 1, wherein the value of .alpha. is obtained by a process in which it is continuously adjusted by means of a feedback loop to provide said desired false alarm rate.

### Claim 5 (depends on 4)

A method as claimed in claim 4, wherein the value of .alpha. is incremented by a small amount every time there is an alarm and is decremented by a larger amount at fixed intervals.

### Claim 6 (depends on 1)

A method as claimed in claim 1, wherein the value of .alpha. is calculated directly from the values in the range cells.

### Claim 7 (depends on 1)

A method as claimed in claim 1, and further comprising the step of measuring radar return signals from a plurality of surrounding range cells on either side of each range cell under test.

### Claim 8 (depends on 7)

A method as claimed in claim 7, wherein said factor .alpha. is determined from values of said radar return signals from the surrounding range cells.

### Claim 9

An apparatus for estimating a detection range R.sub.1 of a radar when noise and clutter are present comprising:
means for measuring radar return signals from successive range cells under test,
means for determining a factor .alpha. by which the mean value of those signals is to be multiplied to form a threshold value for determining the presence or absence of a target whilst maintaining a desired false alarm rate,
means for determining, from a number of radar return signals sufficient substantially to average out local variations in clutter, a mean clutter value m.sub.c, and
means for outputting as the estimate of detection range R.sub.1 a value which is a function of .alpha. and m.sub.c.

### Claim 10 (depends on 9)

An apparatus as claimed in claim 9, wherein said means for determining a factor .alpha. further comprises a feedback loop for continuous adjustment of the value of .alpha. to provide said desired false alarm rate.

### Claim 11 (depends on 10)

An apparatus as claimed in claim 10, wherein said means for determining a factor .alpha. is adapted to increment the value of .alpha. every time there is an alarm and to decrement the value of .alpha. by a larger amount at fixed intervals.

### Claim 12 (depends on 9)

An apparatus as claimed in claim 9, wherein said means for determining a factor .alpha. comprises means to calculate the value of .alpha. directly from the values in the range cells.

### Claim 13 (depends on 9)

An apparatus as claimed in claim 9, further comprising a display adapted such that different colours are used to separate regions with different probabilities of detection for a given size of target.

### Claim 14 (depends on 9)

An apparatus as claimed in claim 9, further comprising a display adapted such that regions with different probabilities of detection for a given size of target are separated by contour lines.

### Claim 15 (depends on 9)

An apparatus as claimed in claim 9, wherein the means for measuring radar return signals also measures radar return signals from a plurality of surrounding range cells on either side of each range cell under test.

### Claim 16 (depends on 15)

An apparatus as claimed in claim 15, wherein said factor .alpha. is determined from values of said radar return signals from the surrounding range cells.
