The present invention relates to a method and a system for estimating the speed of a user equipment connected to a wireless network.
As used herein, the term “user equipment” is meant broadly and not restrictively, to include any user terminal or, more generally, any device able to connect to a wireless network (a mobile telephone, a personal digital assistant, a smartphone, a tablet computer for example).
By “user speed” is meant here the real speed, of a user or, more generally, of an entity provided with a user equipment attached to a serving base station of the wireless network. For example, the speed of a user provided with a mobile phone, or that of a vehicle including a device connected to a wireless network.
The wireless network may be any cellular or wide-area network (such as WiMAX, 3G, CDMA, LTE or the like) capable of supporting mobility of user equipments connected thereto.
Estimating the user speed is of crucial interest in such wireless networks. Indeed, the user velocity is a key parameter for different wireless network functions including, among others, mobility and radio resource management. Efficiently estimating the user speed has a high impact on wireless network performances and, consequently, the offered quality of service (QoS).
For instance, regarding mobility management, it is straightforward that handover success rate is directly linked to the user speed: the higher the user speed, the higher is handover frequency with greater risk of call dropping (N. Yaakob et al., “Investigating Mobile Motion Prediction in Supporting Seamless Handover for High Speed Mobile Node”, Proceedings of the International Conference on Computer and Communication Engineering 2008). Accordingly, the optimal adjustment of handover parameters (offsets, hysteresis, timers, and filtering coefficients) should be speed dependent.
The analytical framework proposed by V. Kavitha et al. (“Spatial Queuing for analysis, design and dimensioning of Picocell networks with mobile users”, Performance evaluation, August 2011) illustrates the dependency of the handover losses and of the cell size on the user speed.
Likewise, as regards radio resource management, the most suitable scheduling scheme, either frequency selective or not, depends on the user velocity. Frequency selective scheduling is generally preferred at low user speeds. Otherwise, due to high Doppler conditions, the frequency dependent channel information is not sufficiently accurate. At high speeds, frequency diverse scheduling is preferable.
Thus, as highlighted above by non-exhaustive examples, accurate information on the user velocity is required for optimizing more than one network mechanism.
Up-to-date, solutions for user speed estimation within wireless networks are inefficient and do not meet the accuracy requirements due to various reasons.
Those based on capturing speed-dependent short term variations of received signal strengths measurements are inefficient when the period of measurements is higher than the coherence duration of these fast variations.
In fact, with regards to the sampling frequency of measurements, prior methods mainly aim at analyzing speed dependent fast fading characteristics: the Doppler frequency is derived from the covariance or the power spectrum of the fast fading channel. But, the Nyquist theorem imposes a high sampling frequency of measurements to avoid spectrum aliasing thus erroneous Doppler estimation. Consequently, these methods are suitable only with short sampling periods. Indeed, large sampling periods (in time) of signals limit significantly the maximum observable Doppler thus the maximum observable UE speed.
Moreover, well known solutions (notably, crossing based methods (Zhang Hong et al., “Mobile speed estimation using diversity combining in fading channels”, Global Telecommunications Conference, 2004) and covariance based methods (Rosa Zheng Yahong et al. “Mobile speed estimation for broadband wireless communications over rician fading channels”, IEEE Transactions On Wireless Communications, page 8, jan 2009)) are sensitive to noise, especially for small Doppler spreads. As further problems, most of these solutions need the knowledge of the Signal to Noise Ratio (SNR), are limited to Gaussian noise hypothesis, and are complex to implement.
Various embodiments are directed to addressing the effects of one or more of the problems set forth above. The following presents a simplified summary of embodiments in order to provide a basic understanding of some aspects of the various embodiments. This summary is not an exhaustive overview of these various embodiments. It is not intended to delineate the scope of these various embodiments. Its sole purpose is to present some concepts in a simplified form as a prelude to the more detailed description that is discussed later.
Some embodiments provide methods and apparatus for estimating the speed of a user equipment that efficiently copes with large periods of signal strength measurements, still by taking profit of large or medium scale variations of measurements. This is particularly advantageous when measured signals are configured with large periods of transmission because of limited capacity constraints.
Some embodiments provide methods and apparatus for continuous and adaptive estimation of the user speed.
Some embodiments provide a speed estimator per-block of signal observations.
Some embodiments provide a computationally efficient and real time method with minimized required memory for estimating the speed of a user equipment connected to a wireless network.
Some embodiments provide methods and apparatus for discriminating the speed class interval of a user equipment amongst more than three adjacent non-overlapping speed class intervals.
Various embodiments relate to methods for estimating the speed of a user equipment connected to a base station of a wireless network, the method comprising the following steps:
In accordance with a broad aspect, the above methods further comprise a normalization step of the measured signal power.
In accordance with another broad aspect, the above methods further comprise a filtering step of the measured signal power.
In accordance with another broad aspect, the reference data associates a given user equipment speed with a certain computed standard deviation for a given shadowing decorrelation distance, the shadowing decorrelation distance being relevant to the radio environment of the base station and/or that of the user equipment.
In accordance with another broad aspect, the signal power measurements are performed by the base station on an uplink sounding reference signals transmitted from the user equipment. Alternatively, these signal power measurements may be performed by the user equipment on downlink radio signals transmitted from the base station.
Further, various embodiments relate to a processing unit for estimating the speed of a user equipment connected to a base station of a wireless network, the processing unit comprising
In accordance with a broad aspect, the above processing unit further comprises a low pass filter for filtering the measured signal power.
Further, various embodiments relate to a base station comprising the above processing unit.
Various embodiments further relate to computer program products for performing the above methods.
While the various embodiments are susceptible to various modification and alternative forms, specific embodiments thereof have been shown by way of example in the drawings. It should be understood, however, that the description herein of specific embodiments is not intended to limit the various embodiments to the particular forms disclosed.
It may of course be appreciated that in the development of any such actual embodiments, implementation-specific decisions should be made to achieve the developer's specific goal, such as compliance with system-related and business-related constraints. It will be appreciated that such a development effort might be time consuming but may nevertheless be a routine understanding for those or ordinary skill in the art having the benefit of this disclosure.
The objects, advantages and other features of various embodiments will become more apparent from the following disclosure and claims. The following non-restrictive description of preferred embodiments is given for the purpose of exemplification only with reference to the accompanying drawing in which
With the aim of providing more realistic propagation channel models, extensive measurement campaigns are performed in different environments (e.g. rural, urban, suburban, indoor/outdoor) and scenarios (e.g. Line-of-sight, Obstructed Line-of-sight, Non-line-of-sight) for statistically modeling signal propagation phenomena (namely, path loss, small-scale and large-scale fading) over wireless channels.
Fading results from the presence of reflectors in the radio environment, which generate multi-paths thus superposition (with different attenuations, delays and phases) of the original signal.
In particular, the large-scale fading—also known as shadow fading or shadowing—arises when the signal variation rate is low, relatively to the period of its use. Amplitude and phase of the received signal do not vary much over the period of use. It originates from obstacles between the base station and the user equipment.
Several measurements have been taken to characterize the empirical correlation of shadowing over distance separating two distinct positions, for different environments and at different frequencies.
In this respect, it has been widely acknowledged that shadowing can be well modeled by lognormal processes. Indeed, because of the shadowing, the correlation of signal strength measurements performed at two distant positions of the user equipment with respect to the base station decreases as the distance δ separating these two positions increases.
Moreover, the correlation property of the shadowing is modeled by a widely accepted exponential decaying autocorrelation function (said Gudmunsson model: A. Algans et al., “Experimental analysis of the joint statistical properties of azimuth spread, delay spread, and shadow fading”, IEEE J. Sel. A. Commun. 20, 3, pp. 523-531, September 2006). In other words, the correlation between shadow fading ψ sensed by the base station (eNodeB) for two points separated by distance δ of the user equipment with respect to the base station can be analytically formulated as follows:
where
For a user equipment with speed ν, replacing the travelled distance δ by ντ (τ being the travel time of the distance δ) in the above equation (1) gives
Furthermore, a received signal r(t) by the base station from the user equipment, with zero mean (i.e. μr=0), is considered to be the product of a Rayleigh process and a log-normal exponential process ψ(t) (S. O. Rice, “Mathematical analysis of random noise”, Bell Syst. Tech. J., vol. 23, pp. 46-156, Jan. 1945). The autocorrelation function of such signal r(t) may be written as follows:
R
rr(τ)=[r(t−τ)r(t)] (3)
Deriving the above equation with respect to τ, one obtains
where r′ designates the derivative of r(t) with respect to time t.
Under the assumption of stationarity of the autocorrelation function Rrr, when deriving again equation (4), one gets
which gives from (J. Bendat et al., “Random Data: Analysis and Measurement Procedures”, Wiley Series in Probability and Statistics, 2010)
In particular, the absolute value of the above second derivation of Rrr(τ) when τ tends to 0+ is as follows:
Now, we consider the case of signal r(t) received by the base station from the user equipment at large period of time (for instance, around 40 ms or more). As example of such signal, one can mention Sounding Reference Signal (SRS) (3GPP Technical Specification 36.211, ‘Evolved Universal Terrestrial Radio Access (E-UTRA), Physical Channels and Modulation) which are sent from the user equipment to the base station (eNodeB) for uplink measurement at a relatively large sampling period (generally, with a configurable period typically ranging from 20 ms, 40 ms, 80 ms or more). A vector of signal power measurements r(t) on Sounding Reference Signals is then, advantageously, available on a regular basis.
In such a case, r(t) may be reduced to the large scale fading effect ψ(t) (i.e. shadowing). Therefore, the autocorrelation function of the received signal power Rrr(τ) may be approximated by the autocorrelation function of the shadowing Rψ(τ)
Accordingly, by replacing Rrr(τ) in the equality (6) by the expression of the autocorrelation function of the shadowing Rψ(τ) given in equation (1), one obtains:
In other words, with reference to equations (1) and (6),
Thus, the second-time derivative of the autocorrelation function of the shadowing is proportional to the square of the speed, or equivalently, the speed ν of the user equipment is proportional to the standard deviation of the derivative of the signal power measurements r(t). It results in an approximate estimate of the user equipment speed ν as function of the received signal power r(t):
ν≈D√{square root over ([(rN′(t))2])} (8)
where rN(t) is the normalized received signal power
Given the linear relationship between ν and D in equation (8), an error of x % on the shadowing decorrelation distance D induces equally an error of x % on the estimated speed ν of the user equipment. Hence, propagation environment-dependent values of the shadowing decorrelation distance D are, preferably, predetermined experimentally and/or theoretically, and then stored to be used for online user speed estimation. In others words, reference data that associate a given user equipment speed with a certain standard deviation in a given radio propagation environment (having a shadowing decorrelation distance D) may be established offline and then utilized online on-demand.
In one embodiment, the speed ν of the user equipment is estimated on the basis of the measured signal powers r(t) as follows:
For smoothing fast fading and Doppler variations, the power measurement samples r(t) may, advantageously, be filtered prior to the above procedure steps. As an illustrative example, such filtering step may be achieved through introducing a low pass filter, or through a simple averaging (such as a moving-average process) of the measurement samples rN(t) prior to the derivative calculation. In fact, smoothing the signal in time domain is preferable, particularly when the measurements processed are insufficiently filtered, or when the measurements samples to process are insufficiently averaged (for example, power measurements over narrow bands instead of wide bands).
In one embodiment illustrated in
K being the number of derivatives computed on block i;
In one embodiment, the derivative at order 1 for each element k in block i (Xi=[xi+1, . . . xk, . . . , xi+N]), i>k>N) is computed on mean values over temporal blocks of samples as follows:
where n is the delay between the two points of derivation, T is the measurements sampling period and E[xk] is the mean value computed over a block k of temporal samples.
Likewise, a derivative at order 3 may be computed for each element k in block i (Xi=[xi+1, . . . xk, . . . , xi+N]), i>k>N) as follows (di being the set of all derivatives {dk} calculated on block i).
d
k=¼(6·E[Xk]−E[Xk-n]−2·E[Xk-2n]−3·E[Xk-3n])/(3n·T)
Advantageously, the above derivatives enable to further smooth the signal, thus reduce fast fading, Doppler variations, in order to capture the slow variations of shadowing, only.
In an alternative embodiment illustrated in
In fact,
0≦α≦1 (α is close to 1);
Advantageously, an adaptive speed estimator enables speed tracking: speed estimated at the rate of each new samples arrival. Additionally, the computational cost of its implementation is quite low, which favors its deployment in real networks.
The user speed may be estimated from a set of radio signal power measurements which may be performed either by the serving base station on uplink sounding reference signals or alternatively (given the symmetry of the radio propagation channel) by the user equipment on downlink signals. Accordingly, these measurements may be performed based on downlink or uplink physical signals, then processed as described above by means of dedicated processing units. Such processing units may be comprised in the base station (an eNodeB for LTE and beyond), in the user equipment or in any other system to which the measured signal powers are reported.
(with reference to equation 8) in function of speed ν for different decorrelation distance D, highlight that the dispersion Disp is a linearly increasing function of the speed ν. Moreover, this dispersion Disp increases for decreasing D, as it is expected from the inverse proportionality between D and Disp, pointed out by equation 8.
Accordingly, it is preferable to store in a database previously established reference data associating a given user equipment speed with a certain computed dispersion Dispi (i.e. the standard deviation) for a plurality shadowing decorrelation distance D relevant to different radio propagation environments.
It is to be further noted that the above-described method permits to discriminate the user speed class interval. In particular, according to simulations results, with 11 classes, the probability for a correct classification, including adjacent classes is about 90%, whatever the decorrelation distance D is.
Advantageously, profiting by the relatively large sampling period (generally around 40 ms or more) of sounding reference signals, the variation speed of the slow fading (i.e. large scale fading) is utilized to estimate the real speed of the user. In fact, the slow fading variations (medium and large scale variations) are more or less rapid depending on the user velocity for estimating the real speed.
The disclosed embodiments efficiently cope with large periods of signal strength measurements, by taking profit of correlation properties of slow fading. The computational cost of the proposed method for user speed estimation is very low. An adaptive implementation thereof is easily tractable in real networks, with very limited impact on CPU.
Moreover, the disclosed method and system, advantageously, permit to estimate the velocity of any user equipment connected to a base station (eNodeB) without any additional overhead. In fact, the sounding reference signals (SRS) transmitted by the UE are already specified by the 3GPP LTE (3GPP Technical Specification 36.211, Evolved Universal Terrestrial Radio Access (E-UTRA), Physical Channels and Modulation).
Further, the above-described method and system for user speed estimation, advantageously, enable speed tracking from measurements at large periodicity, while restricting significantly the impact on CPU.
According to an aspect of the disclosed embodiments, the speed class of the user equipment may be estimated on the basis of real time measurements in wireless access network such as 3G, LTE or beyond.
It is to be noted that in the above-described embodiments the user speed is supposed to be averagely constant or slowly variable in time, but they remain valid for time-variant user speed while taking into account this dependency (notably, in equations 2, 7 and 8).
Number | Date | Country | Kind |
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13306001.2 | Jul 2013 | EP | regional |
Filing Document | Filing Date | Country | Kind |
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PCT/EP2014/064918 | 7/11/2014 | WO | 00 |