Vehicle radar system that addresses doppler frequency shift and method of using the same
US-2019250249-A1 · Aug 15, 2019 · US
US10996326B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-10996326-B2 |
| Application number | US-201816189045-A |
| Country | US |
| Kind code | B2 |
| Filing date | Nov 13, 2018 |
| Priority date | Nov 13, 2018 |
| Publication date | May 4, 2021 |
| Grant date | May 4, 2021 |
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A system and method to generate a family of orthogonal signals for a code division multiple access (CDMA) radar system involve selecting a first signal of the family of orthogonal signals for transmission by one of a plurality of transmitters of the radar system. The method includes using an algorithm to determine a second signal of the family of orthogonal signals. The algorithm uses cross-correlation values between candidate signals for consideration as the second signal of the family of orthogonal signals and the first signal. The method also includes transmitting the first signal of the family of orthogonal signals and the second signal of the family of orthogonal signals simultaneously from two different transmitters, and obtaining and processing reflections resulting from transmission of the first signal of the family of orthogonal signals and the second signal of the family of orthogonal signals.
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What is claimed is: 1. A method of generating a family of orthogonal signals for a code division multiple access (CDMA) radar system, the method comprising: selecting a first signal of the family of orthogonal signals for transmission by one of a plurality of transmitters of the radar system; using an algorithm to determine a second signal of the family of orthogonal signals, wherein the algorithm uses cross-correlation values between candidate signals for consideration as the second signal of the family of orthogonal signals and the first signal; transmitting the first signal of the family of orthogonal signals and the second signal of the family of orthogonal signals simultaneously from two different transmitters; obtaining and processing reflections resulting from transmission of the first signal of the family of orthogonal signals and the second signal of the family of orthogonal signals; iteratively using the algorithm to determine additional signals of the family of orthogonal signals, wherein the algorithm uses cross-correlation values between each candidate signal for consideration as one of the additional signals of the family of orthogonal signals and all previously determined ones of the family of orthogonal signals; generating each of the candidate signals by changing only a parameter value a from the first signal of the family of orthogonal signals and others of the candidate signals; and deriving factors w, k1 and k2 that are used to generate the candidate signals from the parameter value α as follows: w = α β π k 1 = 2 arctan ( B 2 wT ) k 2 = sec ( k 1 T 2 ) , where B is a bandwidth of each of the candidate signals and T is a duration of each of the candidate signals. 2. The method according to claim 1 , wherein the changing the parameter value a changes a curvature of the candidate signals. 3. The method according to claim 1 , wherein the generating the candidate signals includes determining instantaneous frequency f(t) and phase φ(t) of each of the candidate signals as: f ( t ) = w tan ( k 1 t ) sec ( k 1 t ) k 2 φ ( t ) = 2 π w sec ( k 1 t ) ( k 1 k 2 ) . 4. The method according to claim 1 , wherein the using the algorithm includes obtaining a sum associated with each candidate signal as a sum of the cross-correlation values between the candidate signal and all previously determined ones of the family of orthogonal signals, and identifying a selected signal among the candidate signals as the candidate signal that results in a lowest value of the sum associated with each candidate signal. 5. The method according to claim 1 , wherein the using the algorithm includes identifying a maximum associated with each candidate signal as a maximum value among the cross-correlation values between the candidate signal and all previously determined ones of the family of orthogonal signals that is less than or equal to a threshold value, and identifying a selected signal among the candidate signals as the candidate signal that results in a minimum of the maximum associated with each candidate signal. 6. The method according to claim 5 , further comprising increasing the threshold value when the selected signal is not identified. 7. The method according to claim 1 , wherein the using the algorithm includes identifying a maximum associated with each candidate signal as a maximum valu
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