This application claims priority from German Patent Application No. 10 2006 031 351.8, which was filed on Jul. 6, 2006, and is incorporated herein in its entirety by reference.
The present invention refers to a method and a device for measuring a phase deviation, or difference, in particular to a device for measuring a linearity of a frequency deflection, such as is used in automotive radar systems, for example.
In automotive engineering, so-called FMCW radar systems (FMCW=frequency modulated continuous wave) are used in driver assistance systems, for example, to reduce the number of car accidents, among other things. In a FMCW radar system, a linearly frequency-modulated high-frequency signal (HF signal) is used. Thus, a time-dependent transmitting frequency fHF(t) of the HF signal linearly increases in a time interval Δt by an amount ΔfHF, for example, or is deflected by ΔfHF. This frequency deflection is referred to as a so-called frequency sweep. Through a run time td during a signal propagation of the HF signal to a reflector, the transmitting frequency of the HF signal changes in the meantime, to fHF(t+td) due to the frequency deflection, so that one can obtain with a mixer a low-frequency signal with a frequency fNF(t+td)=fHF(t+td)−fHF(t) from the difference between the current transmitting frequency fHF(t+td) and the receiving frequency fHF(t) reflected by the reflector. The frequency fNF(t+td) is proportional to a reflector distance d. Thus, in FMCW radar systems, the run time td is converted to the frequency fNF(t+td). If the frequency sweep is linear, the frequency fNF(t+td) of the low-frequency mix signals will remain constant during the sweep operation.
In FMCW radar systems, the linearity properties of the transmitted frequency sweep are of great importance. Nowadays, typical frequency sweep bandwidths ΔfHF range from several hundred MHz to some GHz. For automotive radar applications, for example, a frequency band at 77 GHz is reserved. In comparison to a center frequency and the bandwidth ΔfHF of the frequency sweep, a non-linearity of the frequency sweep is very small and, for this reason, difficult to measure.
According to one embodiment, the present invention includes a device for measuring a phase deviation with a sampler having a first input for a periodic measurement signal comprising a steady-state or a variable frequency, a second input for a reference signal replicating an idealized phase trajectory of the measurement signal, and an output for a sample value of the reference signal sampled by use of the measurement signal, a reference signal generator with an output coupled to the second input of the sampler, and a phase deviation identifier with an input coupled to the output of the sampler.
Embodiments of the present invention further provide a method for measuring a phase deviation comprising a step of providing a periodic measurement signal comprising a steady-state or a variable frequency, a step of providing a reference signal replicating an idealized phase trajectory of the measurement signal, a step of sampling the reference signal by use of the measurement signal for generating a sample value of the reference signal, and a step of identifying the phase deviation of the measurement signal from the reference signal of the sample value of the reference signal.
In the following, embodiments of the present invention will be explained in detail with reference to the accompanying drawings, wherein:
a shows a diagrammatic illustration of a frequency sweep plotted versus time;
b shows a diagrammatic illustration of a measurement signal with variable frequency;
c shows a phase diagram for explaining of the measurement principle of the phase deviation according to an embodiment of the present invention; and
It should be noted that with respect to the following description, identical functional elements or functional elements operating in the same way have identical reference numbers in the different embodiments, and, thus, the descriptions of these functional elements in the different embodiments illustrated in the following are interchangeable.
Known systems for linearity measurement of a frequency sweep are based on the use of so-called digital storage oscilloscopes (DSO). Such a system is illustrated by way of example in
A simple and known approach to linearity measurement of a frequency sweep is to down-convert a time-dependent frequency fHF(t) of the output signal sHF(t) of the signal source 100 with the frequency divider 110 by a factor N, for example. The measurement signal down-converted in its frequency by the factor N and comprising an at least approximately linear frequency sweep, i.e., a linear frequency deflection, is further down-converted by means of the mixer 120 and the local oscillator 130 comprising a frequency fLO, and is sampled with the digital storage oscilloscope 150 after low-pass filtration with the low-pass filter 140. Thus, the mixed and low-pass filtered measurement signal smeas(t) comprises a frequency fmeas(t)=fHF(t)/N−fLO.
A phase information may now be determined from the so-called analytical signal of the measurement signal smeas(t), for example. One obtains the analytical signal by adding an imaginary portion resulting from the Hilbert-transform of the real measurement signal smeans(t) to the measurement signal smeas(t). To calculate a phase error of the analytical signal of the measurement signal, a mathematically generated ideal phase trajectory φref(t) of the analytical signal, for example, is adapted to the measured data, and the different signal of the ideal phase trajectory φref(t) is compared with the phase trajectory φmeas(t) of the measurement signal.
Instead of the digital storage oscilloscope, an analog-to-digital converter, for example, may also be used. In the end, however, a complex and expensive signal management system still remains necessary to obtain the result of the linearity measurement of the frequency sweep.
The use of a phase frequency detector is a further common approach to linearity measurement of a frequency sweep. A diagrammatic block diagram of such a measurement system is shown in
In the measurement system shown in
As in the measurement system described in the foregoing on the basis of
Finally, the principle of FMCW radar systems itself may also be used for linearity measurement of a frequency sweep. For this purpose, the measurement signal smeas(t) is mixed with the frequency ramp resulting from the frequency deflection, such as a time-shifted version smeas(t+td) thereof, for example. For this purpose, a coaxial cable may be used, for example, as a delay line with a known electrical length and a mixer mixing both of the time-shifted signals smeas(t) and smeas(t+td). In an ideal linear frequency sweep, the low-frequency signal resulting at the mixer output comprises only a single component at a frequency fNF=fmeas(t+td)−fmeas(t) corresponding to the time delay, whereas in the case of a non-linearity of the frequency sweep, the spectrum of the resulting signal is broadened. Here, too, a sampling must be performed using an analog-to-digital converter, and the result is to be evaluated by means of software in a PC, for example.
After known systems for linearity measurement of a frequency sweep have been described in the foregoing on the basis of
A measurement method according to one embodiment of the present invention is based on the principle of a direct digital synthesizer (DDS). A direct digital synthesizer numerically calculates in a clock cycle of the duration Tclk a phase φ of a 2π periodic signal using a so-called phase accumulator. A so-called tuning word forms a phase increment Δφ of the phase accumulator. For example, in a clock cycle n, the phase φ(n·Tclk) of the phase accumulator is increased by the phase increment Δφ, thus, φ(n·Tclk)=φ((n−1)Tclk)+Δφ. A digital phase word of the phase accumulator consists of a specified number of bits, such as j bits. Each time the phase accumulator overflows, i.e. in a transition from φ(n·Tclk)=2j−1 to φ((n+1)·Tclk), a complete period of the periodic signal is generated. For this reason, the phase increment Δφ of the phase accumulator and a clock frequency fclk=1/Tclk of the direct digital synthesizer define an output frequency fout generated by the direct digital synthesizer. By increasing the tuning word, i.e., the phase increment Δφ, from one clock cycle to the next, a linear frequency sweep may be synthesized, for example.
According to embodiments of the present invention, the output of the digital phase accumulator is sampled at times of zero crossings of the rising signal edge of the periodic measurement signal. In the process, the phase accumulator generates the reference frequency sweep by making available phase values of the reference sweep at a high digital resolution and with a clock rate fclk suitable for the bandwidth of the frequency sweep. Since the phase of the measurement signal at the time of the sampling comprises a value which is a multiple of 2π, the value of the phase accumulator at this sample time represents a measure of a phase deviation of the frequency sweep of the measurement signal from the ideal linear frequency sweep of the reference signal.
Device 300 comprises a sampler 310 including a first input 310a, a second input 310b, and an output 310c. Device 300 further includes a reference signal generator 320 with an output 320a coupled to the second input 310b of the sampler 310. Device 300 further includes a phase deviation identifier 330 having an input 330a coupled to the output 310c of the sampler 310. As indicated by the dotted line 340, the phase deviation identifier may be coupled, e.g., to the reference signal generator 320.
Via the input 310a, a periodic measurement signal smeas(t) that may comprise a steady-state or a variable frequency fmeas(t) is supplied to the sampler 310. A digital reference signal sref(t) generated by the reference signal generator 320 with a clock frequency fclk and replicating an idealized frequency trajectory fref(t), or phase trajectory φref(t), of the analog periodic measurement signal smeas(t) present at the input 310a is present at the second input 310b of the sampler 310, i.e. sref(t)=φref(t).
One frequency trajectory fmeas(t), which is possible in principle, of the periodic measurement signal smeas(t) present at the input 310a of the sampler 310 is shown in
For better illustration, this connection is represented yet again in
A periodic signal of the form as is shown in
s
meas(t)=0 and (1)
ds
meas(t)/dt>0 (2)
If conditions (1) and (2) are satisfied, the phase φmeas(t) of the periodic measurement signal smeas(t) comprises a value, which at least approximately corresponds to a multiple of 2π, i.e. φmeas(t)=i*2π(i=0, 1, 2 . . . ). The measurement signal smeas(t) will typically comprise a frequency response which does not take an ideal linear course, as is indicated in
By the reference signal generator 320, a digital reference signal sref(t) replicating an idealized linear phase trajectory φref(t) of the measurement signal is generated, as is indicated by reference number 400 in
c shows a phase diagram comprising a phase indicator 420 comprising a position corresponding to a phase value according to a multiple of 2π. The phase indicator 420 corresponds to the phase indicator of the measurement signal smeas(t) at the sample times.
It is to be understood that in embodiments of the present invention, sample times other than the times of zero crossings of the rising signal edge are also possible. For example, the sampler 310 could sample the reference signal sref(t) within a predetermined range of zero crossings of the falling signal edge of the periodic measurement signal smeas(t). The phase φmeas(t) of the periodic measurement signal smeas(t) would then comprise a value which at least approximately corresponds to an odd-number multiple of π, i.e. φmeas(t)=(2i+1)*π(i=0, 1, 2, . . . ). The sampler 310 could further sample the reference signal sref(t) generally within a predetermined range of zero crossings of the periodic measurement signal smeas(t). The phase φmeas(t) of the periodic measurement signal smeas(t) would then comprise a value which at least approximately corresponds to a multiple of π, i.e. φmeas(t)=i*π(i=0, 1, 2, 3, . . . ).
With the phase deviation identifier 330 shown in
φsamp(t)=φref(t)−φmeas(t), (3).
the phase value φmeas(t), related to a period of the measurement signal, comprising at least approximately a value of zero due to the zero crossings, i.e. φmeas(t)=0. The phase deviation φdiff(t) may thus be determined according to
φdiff(t)=φmeas(t)−φref(t)=−φsamp(t)=−φref(t) (4).
As already described in the foregoing, this value φdiff(t) is sampled at a sample frequency corresponding only to the momentary frequency fmeas(t) of the measurement signal smeas(t). By contrast, in the concepts described on the basis of
For most practical applications, this measurement data φdiff(t), which is not uniformly sampled, has to be resampled again at a constant sample rate. However, with suitable signal processing in the phase deviation identifier 330, it is also possible to work with the measurement data φdiff(t), which is non-uniformly sampled. A frequency difference φdiff(t) between the reference signal and the measurement signal smeas(t) may be determined by a numeric differentiation of the phase measurement data, for example, φdiff(t)=dφdiff(t)/dt.
Embodiments of the present invention may allow a real-time measurement with minimum hardware costs, and thus allow an in-system frequency sweep evaluation and possibly even a sweep linearization.
The time-varying frequency fHF(t) of the periodic measurement signal sHF(t) with the sweep bandwidth ΔfHF of the measurement signal source 100 is down-converted, by means of the frequency divider 110 and the mixer 120, to a frequency fmeas(t) and a bandwidth Δfmeas that are suitable for conventional digital logic technologies. Further, the measurement signal smeas(t) is down-converted in its frequency is used as a clock signal for the sampler 310, as described in the foregoing, to sample the momentary values φref(t) of the phase accumulator 510 and then to determine therefrom a phase deviation of the measurement signal from the reference signal in accordance with a procedure according to an embodiment of the present invention. The phase increment generator 500 and the phase accumulator 510 generate the frequency sweep ideally expected by the measurement signal smeas(t). The measurement signal source 100 may be the transmitter of an automotive radar system, for example. Automotive radar systems work in a frequency band at 77 GHz, for example, and generate frequency sweeps of a bandwidth ΔfHF of approximately 1 GHz. Since a frequency fref generated by a direct digital synthesizer is typically within a range of several hundred MHz to 1 GHz, the original measurement signal sHF(t) of the measurement signal source 100 is down-converted in its frequency. The clock rate fclk of the phase accumulator 510 should be large enough to cover the necessary signal bandwidth of the down-converted measurement signal smeas(t). If the output of the phase accumulator 510 comprises a word width of j bits, a time-varying frequency of the reference signal may be represented by means of a time-varying phase increment Δφref(t) according to
In this context, the time response of the phase increment Δφref(t) of the phase increment generator 500 is controlled by the controller 330, for example.
Thus, embodiments of the present invention have the advantage that in-system measurements of a linearity of a frequency sweep over large bandwidths are allowed with few hardware requirements. Thus, embodiments of the present invention may allow real-time measurement with minimum hardware expenditure, and thus, an in-system frequency sweep evaluation and possibly even a sweep linearization.
In particular, it should be understood that depending on the circumstances, the inventive scheme may also be implemented in to software. The implementation may be made on a digital storage medium, in particular a disc or a CD with control signals that can be read out electronically and can co-operate with a programmable computer system so the respective method is carried out. In general, the invention also exists as a computer program product comprising a program code, stored on a machine-readable carrier, to perform the inventive method, when run on a computer. In other words, the invention may be realized as a computer program comprising a program code for performing the method, when the run on a computer.
While this invention has been described in terms of several embodiments, there are alterations, permutations, and equivalents which fall within the scope of this invention. It should also be noted that there are many alternative ways of implementing the methods and compositions of the present invention. It is therefore intended that the following appended claims be interpreted as including all such alterations, permutations, and equivalents as fall within the true spirit and scope of the present invention.
Number | Date | Country | Kind |
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10 2006 031 351.8 | Jul 2006 | DE | national |