The invention is related to a frequency modulation continuous wave (FMCW) system, in particularly, to a time division duplexed (TDD) FMCW system.
A frequency modulated continuous wave (FMCW) radar system is a special type of radar system that measures both distance and velocity of moving objects. The measurement is achieved by continuously varying the frequency of the transmitted signal by a modulating signal at a known rate over a fixed time period. A variety of frequency modulation techniques, such as sawtooth modulation, triangular modulation, sine wave modulation, square wave modulation, and stepped modulation, can be used in FMCW radar system. Sawtooth and triangular wave modulations are most widely used to change the frequency pattern of the FMCW radar system.
FMCW radar systems measure the frequency difference (Δf, due to time of flight) between the transmitted and received echo signal for calculating the distance, and it also measures the phase difference of a motion of an object for calculating the velocity of the object.
In a 1T1R FMCW radar system, the transmitter antenna emits FMCW signals, and the reflected FMCW signals from the target are received by the receiver antenna. The output of the receiver antenna is given to the mixer of the receiver circuit chain via a low noise amplifier. In the mixer circuit, a part of the transmitted FMCW signal is mixed with the reflected FMCW signal, producing an intermediate frequency (IF) signal, which can be used to determine the distances and/or velocities of the objects according to the frequency differences and phase differences of the objects. The frequency of the IF signal is the difference between the frequency of the transmitted FMCW signal and reflected FMCW signal.
However, a 1T1R FMCW radar system is not enough to analyze the angles of objects. Multiple transmitter antennas and multiple receiver antennas provide better angular information for analyzing the direction of the objects. Conventional multiple transmitting and receiving antennas use multiple transmitter circuit chains and multiple receiver circuit chains, one dedicated transmitter chain for each transmitter path and one dedicated receiver chain for each receiver path, thus the FMCW radar system consumes a lot of power and takes a lot of area.
An embodiment provides a time division duplexed (TDD) frequency modulation continuous wave (FMCW) radar system. The TDD FMCW radar system includes P transmitter circuit chains and M receiver circuit chains. The P transmitter circuit chains are used to transmit a plurality of FMCW signals. A pth transmitter circuit chain is coupled to a single pole Op throw (SPORT) radio frequency (RF) switch, the SPQPT RF switch is coupled to Op antennas, Qp and P are positive integers, and p is a positive integer not larger than P. The M receiver circuit chains are used to receive a plurality of reflected FMCW signals. An mth receiver circuit chain is coupled to a single pole Nm throw (SPNmT) radio frequency (RF) switch, the SPNmT RF switch is coupled to Nm antennas, Nm and M are positive integers, and m is a positive integer not larger than M.
Another embodiment provides a method for time division duplexed (TDD) frequency modulation continuous wave (FMCW) radar system. The method includes transmitting a plurality of FMCW signals through P transmitter circuit chains, wherein a pth transmitter circuit chain is coupled to a single pole Op throw (SPQPT) radio frequency (RF) switch, the SPQPT RF switch is coupled to Op antennas, Qp and P are positive integers, and p is a positive integer not larger than P; and receiving a plurality of reflected FMCW signals through M receiver circuit chains, wherein an mth receiver circuit chain is coupled to a single pole Nm throw (SPNmT) radio frequency (RF) switch, the SPNmT RF switch is coupled to Nm antennas, Nm and M are positive integers, and m is a positive integer not larger than M.
These and other objectives of the present invention will no doubt become obvious to those of ordinary skill in the art after reading the following detailed description of the preferred embodiment that is illustrated in the various figures and drawings.
where c is the speed of light.
In the FMCW radar system 100, the time delay td is derived with the following approach. The time delay td causes a frequency offset fb (the beat frequency) between the transmitted signal 202 and the reflected signal 204 since the signals are modulated as chirps. Therefore, with the mixer 114 mixing the transmitted signal 202 and the reflected signal 204 to generate an intermediate frequency (IF) signal 206, the beat frequency fb can be obtained by performing fast Fourier transform (FFT) on the IF signal 206. The slope of chirp is a constant, so the time delay td can be also calculated as follows:
Therefore, the range R can be calculated as follows:
where c is the speed of light, fb is the beat frequency measured from the IF signal 206, T is the period of chirp, and B is the bandwidth of chirp.
By using this formula, the range of an object can be determined. If there are multiple objects with different ranges detected by the FMCW radar system, there will be multiple peaks in the FFT spectrum of IF signal. Each peak can generate a range by
thus generating all ranges of the objects.
In addition, the range resolution and the maximum range of the FMCW radar system 100 can be estimated as follows:
where c is the speed of light, B is the bandwidth of chirp, T is the period of chirp, and Fs is the sampling frequency of the analog to digital convertor (ADC). Therefore, the range resolution can be designed according to the bandwidth B, and the maximum detecting range can be defined by the sampling frequency Fs of the ADC.
where ω is the phase difference, T is the period of chirp, v is the velocity of the object (the direction is away from the radar system), and λ is a wavelength of the FMCW signal.
Therefore, to calculate the phase difference ω is to calculate the velocity of the object v. In
where ωn is the phase difference of the nth object, T is the period of chirp, vn is the velocity of the nth object (the direction is away from the radar system), and λ is a wavelength of the FMCW signal.
In addition, the velocity resolution and the maximum velocity of the FMCW radar system can be estimated as follows:
where λ is the wavelength of the FMCW signal, T is the period of a chirp, and Tf is the total measuring time with multiple chirps. Therefore, the velocity resolution can be designed according to the total measuring time Tf, and the maximum detecting velocity can be designed by the period of a chirp T.
To estimate the angle θ of the detected object, the number of the receiver antennas should be larger than 1.
Where λ is the wavelength of the FMCW signal, d is the distance between the two receiver antennas, and θ is the angel of arrival (AoA) from the object to the FMCW radar system. Therefore, when the range and velocity of an object are obtained in the diagram 306, the phase difference of signals in Rx1402 and Rx2404 can be calculated. Then, the angle of arrival (AoA) can be obtained as follows:
For an FMCW radar system with multiple receivers (more than 2), the phase differences of signals of the diagram 306 can be analyzed by using an FFT operation to obtain the AoA θ. The peak in the diagram 306 represents object with different velocities and ranges. The results of applying the FFT operation on the signals in multiple receiver antennas in the same peak in velocity and range diagram represents phase differences among the receiver antennas. Therefore, the angle of arrival (AoA) can be estimated with the following equations:
Where λ is the wavelength of the FMCW signal, dis the distance between the two receiver antennas, θn is the angel of arrival (AoA) from the nth object to the FMCW radar system, and Δϕn is the phase difference of the nth object.
In addition, the angle resolution and the maximum angle of the FMCW radar system can be estimated as follows:
where λ is the wavelength of the FMCW signal, n is the number of receiver antennas, d is the distance among the receiver antennas, and θ is the dependent angle. Therefore, the distance of antennas is often set to λ/2 to obtain the maximal angle measurement. And the resolution of AoA mainly depends on the number of receiver antennas.
Therefore, the corresponding receiving signals S1, S3, S1′, and S3′ can be calculated as follows:
The benefit of transmitting signals simultaneously by the transmitter antennas Tx1 and Tx3 with BPM modulation is to increase signal to noise ratio (SNR) by 3 dB, and the benefit of receiving reflected signals simultaneously by the receiver antennas Rx1 and Rx3 is to estimate AoA by the phase difference between the two receiver antennas Rx1 and Rx3. Secondly, the SPDT RF switch 510 is coupled to a transmitter antenna Tx2, the SPDT RF switch 512 is coupled to a transmitter antenna Tx4, the SPDT RF switch 514 is coupled to the receiver antenna Rx1, and the SPDT RF switch 516 is coupled to the receiver antenna Rx3. The transmitted FMCW signals transmitted by the two transmitter antennas Tx2 and Tx4 are modulated by binary phase modulation (BPM) represented by 1 and −1 in
Therefore, the corresponding receiving signals S2, S4, S2′, and S4′ can be calculated as follows:
Thirdly, the SPDT RF switch 510 is coupled to the transmitter antenna Tx1, the SPDT RF switch 512 is coupled to the transmitter antenna Tx3, the SPDT RF switch 514 is coupled to a receiver antenna Rx2, and the SPDT RF switch 516 is coupled to a receiver antenna Rx4. The transmitted FMCW signals by two transmitter antennas are modulated by binary phase modulation (BPM) represented by 1 and −1 in
Therefore, the corresponding receiving signals S1, S3, S1′, and S3′ can be calculated as follows:
At last, the SPDT RF switch 510 is coupled to the transmitter antenna Tx2, the SPDT RF switch 512 is coupled to the transmitter antenna Tx4, the SPDT RF switch 514 is coupled to the receiver antenna Rx2, and the SPDT RF switch 516 is coupled to the receiver antenna Rx4. The transmitted FMCW signals by two transmitter antennas are modulated by binary phase modulation (BPM) represented by 1 and −1 in
Therefore, the corresponding receiving signals S2, S4, S2′, and S4′ can be calculated as follows:
By applying BPM on the two transmitted signals, the SNR can be increased by 3 dB, and the AoA can be calculated by applying two receiving signals in two receiver antennas. However, the present invention is not limited to BPM, when the P transmitter antennas transmit the FMCW signals simultaneously, a P phase modulation (PPM) can be applied to the P transmitters.
In conclusion, the 4T4R time division duplexed (TDD) FMCW radar system reduces the power consumption and area of circuit to obtain a better AoA performance compared to the prior art.
Those skilled in the art will readily observe that numerous modifications and alterations of the device and method may be made while retaining the teachings of the invention. Accordingly, the above disclosure should be construed as limited only by the metes and bounds of the appended claims.
This application claims the benefit of U.S. Provisional Application No. 63/594,418, filed on Oct. 30, 2023. The content of the application is incorporated herein by reference.
Number | Date | Country | |
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63594418 | Oct 2023 | US |