CN111224765B - Pilot frequency sequence generation method and corresponding signal transmitting and receiving method and device - Google Patents
Pilot frequency sequence generation method and corresponding signal transmitting and receiving method and device Download PDFInfo
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- CN111224765B CN111224765B CN202010016990.3A CN202010016990A CN111224765B CN 111224765 B CN111224765 B CN 111224765B CN 202010016990 A CN202010016990 A CN 202010016990A CN 111224765 B CN111224765 B CN 111224765B
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/003—Arrangements for allocating sub-channels of the transmission path
- H04L5/0048—Allocation of pilot signals, i.e. of signals known to the receiver
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/0413—MIMO systems
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/0202—Channel estimation
- H04L25/0224—Channel estimation using sounding signals
Abstract
The invention provides a pilot sequence generation method and a corresponding signal transmitting and receiving method and device, wherein the pilot sequence generation method is used for pilot sequence generation in a low bit quantization massive MIMO system, and the method comprises the step of generating a pilot sequence with a preset length so that a phase sequence of the generated pilot sequence meets a preset condition. The pilot sequence generated by the method can obtain lower error and higher data transmission precision when used for signal transmission.
Description
Technical Field
The invention relates to the field of wireless communication, in particular to a pilot frequency sequence design method in a low-bit-quantization massive MIMO system and a corresponding signal sending and receiving method and device.
Background
Large-scale multiple-input-multiple-output (massive MIMO) systems have become a key technology required to improve the throughput of fifth generation cellular systems (5G). However, the potentially high power consumption of the massive MIMO system, especially the power consumption of the radio frequency link, has become a bottleneck limiting its practical application. In an uplink system, a future massive MIMO base station will use hundreds of antennas, and each antenna needs to be configured with a radio frequency link, which includes 2 Analog to Digital converters (ADC) modules for respectively processing an in-phase signal and a quadrature signal. The data shows that the ADC is the most power consuming device in the rf link, and its power consumption increases linearly with the sampling rate and exponentially with the resolution of the ADC.
In order to reduce the power consumption of the radio frequency link of the Massive MIMO system, an ADC using low bit quantization is a solution. However, low bit quantization causes loss of signal amplitude and phase information, and the difference between the quantized signal and the signal before quantization is very large, which finally causes serious degradation of signal demodulation performance. Under ideal channel estimation, by means of multi-antenna diversity of Massive MIMO, phase information of signals can be correctly restored after signal combination of large-scale antennas is performed, and although amplitude information is still lost, accurate demodulation of high-order phase modulation such as 16PSK, 64PSK, 256PSK and the like can be realized, so that performance loss caused by Low bit quantization is effectively relieved (see "through output Analysis of Massive MIMO Uplink Low-Resolution ADCs" published by IEEE Transactions on Wireless Communications vol.16, No.6, June 2017).
In the existing research, the pilot sequence used in the low-bit quantized massive MIMO system generally uses the Zadoff-Chu sequence specified in the LTE system, and the pilot length is generally configured by using a pilot length greater than 10 symbols/user in order to obtain better detection performance. However, in an actual system, the length of the pilot sequence is not suitable to be too long, because the time-frequency resource is limited in wireless communication, and increasing the length of the pilot sequence can improve the channel estimation accuracy, but at the same time, reduces the available time-frequency resource for data transmission, but reduces the effective throughput. Therefore, it is necessary to design a shorter pilot sequence to reduce the phase error of the detection signal, thereby improving the transmission accuracy.
The existing pilot sequence does not consider the problem of detection phase error caused by low bit quantization, but reduces the influence of channel estimation error on the detection of high-order modulation signals by increasing the length of the pilot sequence for channel estimation. Since the time-frequency resources available in wireless communications are limited, the use of increased pilot sequence length results in excessive pilot overhead, and the time-frequency resources used to transmit the actual useful data signals are reduced, ultimately resulting in reduced effective throughput.
Disclosure of Invention
The present invention is intended to solve (overcome) the problems of the prior art that the pilot sequence is too long and the detection performance is low when the pilot sequence is short. Aiming at the problem, the invention provides a pilot frequency sequence generation method and a corresponding signal transmitting and receiving method and device. The invention provides an optimal pilot sequence design method, which can obtain a pilot sequence with any length and minimized accumulated absolute detection signal phase error and can more efficiently support the transmission of high-order modulation signals in a low-bit-quantization massive MIMO system.
The inventor of the present application, in performing high-order modulation-related studies in a low-bit quantization massive MIMO system, found that when the pilot sequence length is 1, a multi-antenna signal combination is performed using channel estimation obtained by the pilot symbol, and a phase difference between a phase of a result after the combination and an original signal is not a fixed value, but is a periodic function of a difference value between the phase of the original signal and the phase of the pilot, where the period isThe detected signal phase error may be developed by a fourier series into a sin series with respect to the difference of the original signal phase and the pilot phase. At the same time, the amplitude of the combined result is also a periodic function of the phase of the original signal, and the period is the sameThe amplitude of the detected signal can also be expanded by a fourier series to a cos series with respect to the difference of the original signal phase and the pilot phase. When the length of the pilot sequence is greater than 1, the phase error of the detection signal obtained by using the pilot sequence is the weighted sum of the phase errors of the detection signals based on each pilot symbol, and the weight is in direct proportion to the amplitude of the detection signal based on each pilot symbol. Based on the obtained result of the phase error of the detection signal when the length of the pilot sequence is greater than 1, the optimal pilot sequence is solved by taking the minimum accumulated absolute phase error of the detection signal as an optimization target and the pilot sequence as an optimization variable, and the inventor finally obtains the generation method of the optimal pilot sequence under any pilot sequence length.
According to an aspect of the present invention, there is provided a pilot sequence generation method for use in a low-bit quantization massive MIMO system, comprising generatingTo a length of TPPilot sequence ofSuch that the phase sequence of the pilot sequenceThe following relationship is satisfied:wherein, i is 1,2P,TPIs a positive integer.
In a preferred implementation, the method includes globally phase-shifting the pilot sequence to obtain a new pilot sequence; or the method comprises exchanging the order of the pilot symbols in the pilot sequence to obtain a new pilot sequence.
In another preferred implementation, the amplitude of each pilot symbol in the pilot sequence is 1.
In another preferred implementation, the length of the pilot sequence is greater than or equal to 2, 3, 4, or 5, and less than or equal to 6, 7, 8, 9, or 10.
According to another aspect of the present invention, there is provided a wireless signal transmission method, the method including:
(1) generating a pilot frequency sequence according to the method and transmitting the pilot frequency sequence;
(2) and carrying out high-order signal modulation on the target data and transmitting the target data.
According to another aspect of the present invention, there is provided a wireless signal receiving method including:
(1) receiving a pilot frequency sequence sent by a transmitting terminal by using a plurality of antennas, wherein the pilot frequency sequence is generated by adopting the method;
(2) performing channel estimation based on the pilot sequence;
(3) receiving corresponding high-order modulation data sent by the sending end;
(4) and carrying out multi-antenna combination and demodulation on the received data according to the channel estimation.
In another preferred implementation, the method further comprises: the signal received by each antenna is bit quantized.
According to another aspect of the present invention, there is provided a wireless signal transmitting apparatus, the wireless signal transmitting apparatus includes at least one transmitting antenna, and the wireless signal transmitting apparatus performs pilot sequence generation by using the method described above when performing signal transmission.
According to another aspect of the present invention, there is provided a wireless signal receiving apparatus comprising a plurality of receiving antennas, wherein the wireless signal receiving apparatus is configured to receive a pilot sequence generated by the above method and perform channel estimation based on the pilot sequence.
According to another aspect of the present invention, a signal transmitting/receiving system is provided, wherein the signal transmitting/receiving system includes the above wireless signal transmitting apparatus and the above wireless signal receiving apparatus.
In another implementation, the method further includes performing the phase error Δ based on the following equationt(the progressive theoretical result when the number of antennas is infinite and the signal-to-noise ratio is infinite, although the conditions of infinite number of antennas and infinite signal-to-noise ratio cannot be completely met in the practical system, the progressive theoretical result can be used as a guide when the large-scale antennas have high signal-to-noise ratio),
where atan () represents the arctan function,representing the amplitude, Δ, of the multi-antenna combined signal corresponding to the ith pilot symbolt,iIndicating the phase of the multi-antenna combined signal corresponding to the ith pilot symbol, b01.275 is a constant based on the equation with the pilot phase sequence β as the optimization variable to minimize the accumulated absolute detection signal phase errorThe pilot sequence is determined for optimization purposes.
In another implementation, the length of the pilot sequence is less than or equal to 5 symbols/user. Experiments prove that the effect of reducing the phase error of the detection signal is more obvious when the condition is met.
As mentioned above, the order of each pilot symbol in the pilot sequence obtained by the method of the present invention can be arbitrarily exchanged, because the final phase error is the sum of the corresponding detection results at all pilot points, and the position of the pilot does not affect the final result.
The invention provides a pilot frequency sequence design method for minimizing and accumulating absolute detection signal phase errors in a low-bit quantization massive MIMO system. As verified in the examples, the detected signal phase error using the conventional pilot sequence (i.e., Zadoff-Chu sequence used in LTE) is about 2.4 degrees at maximum. After the pilot frequency sequence generated by the method of the invention is used, the maximum value of the phase error of the detection signal can be reduced to be less than 0.03 degree, and the gain of the phase error of the detection signal can be reduced by 80 times.
The pilot sequence generation method of the invention can be applied to a low-bit quantized massive MIMO communication system.
In addition, the pilot sequence generation method based on the invention can derive more pilot sequences with low phase errors through phase shift and sequence exchange, thereby providing more pilot sequence selections.
Drawings
The invention is illustrated and described only by way of example and not by way of limitation in the scope of the invention as set forth in the following drawings, in which:
fig. 1 shows the phase error between the actual measurement result and the original signal after combining the multiple antennas;
fig. 2 is a comparison between a pilot sequence generated based on a conventional method (i.e., a Zadoff-Chu sequence used in LTE) and a bit error rate after demodulation of a 64PSK signal based on the pilot sequence proposed by the method of the present invention when 1-bit quantization is performed and a base station deploys 1000 antennas;
fig. 3 is a comparison between a pilot sequence generated by a conventional method (i.e., a Zadoff-Chu sequence used in LTE) and a bit error rate of a 128PSK signal demodulated based on the pilot sequence proposed by the method of the present invention when 2-bit quantization is performed and 2000 antennas are deployed in a base station;
fig. 4 is a comparison of the bit error rate after demodulation of 64PSK signals for a pilot sequence generated based on the conventional method (i.e., Zadoff-Chu sequence used in LTE) when 2-bit quantization is performed and 1000 antennas are deployed in a base station.
Detailed Description
In order to make the objects, technical solutions, design methods, and advantages of the present invention more apparent, the present invention will be further described in detail by specific embodiments with reference to the accompanying drawings. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Example 1
The following explains the implementation basis and the application method of the technical scheme in the embodiment by taking 1-bit quantization as an example. The effectiveness of the pilot sequence generation method provided by the invention in reducing the phase error of the detection signal is not limited to 1 bit quantization.
The uplink transmission system in which one user terminal uses a single antenna and the base station uses multiple antennas is taken as an example for explanation. The base station deploys a large-scale MIMO multi-antenna, the number of the antennas is N, N is a positive integer larger than 1, and an uplink channel from a user to the base stationIs a complex vector of dimension Nx 1, specifically expressed asObeying mean value of 0 and covariance matrix of unit matrix INComplex gaussian distribution.
The user terminal firstly adopts a single antenna to externally send a pilot sequence, a receiving terminal of the base station receives the pilot sequence, then the received pilot sequence is utilized to carry out channel estimation, the user terminal sends high-order modulated data to the base station after the channel estimation is finished, and the base station carries out multi-antenna combination and demodulation on the received high-order data. Specifically, the signal Y received by the base station in the channel estimation stagePCan be expressed as:
ρPwhich is indicative of the pilot signal-to-noise ratio,represents a length of TPPilot sequence of, the ith pilot symbolWherein beta isi∈(-π,π]Indicating the phase of the pilot symbol. The sequence of pilot phase bits corresponding to the pilot sequence psi is denoted as Which represents gaussian white noise during the pilot transmission phase.
The signal received on each antenna needs to pass through a 1-bit digital-to-analog converter (ADC) first to perform channel estimation, and then a corresponding channel estimation result is obtained. Thus, the channel estimate is expressed as:
wherein Q () represents a 1-bit quantization function, and since its input is a complex number or complex matrix, the real part and imaginary part of its function input need to be quantized separately and then combined into a complex number or complex matrix.
After channel estimation is completed, the user end sends a high-order modulation signal to the base stationWherein, thetat∈(-π,π]Denotes xtOf the signal r received by the base stationtExpressed as:
where p represents the signal-to-noise ratio of the data transmission phase,a gaussian white noise vector representing the phase of data transmission. The signals received by each antenna can be combined by multiple antennas after passing through a 1-bit digital-to-analog converter (ADC). Quantized signal rtCan be expressed as
Using channel estimationGenerating matched filtered multi-antenna combining vectorsWhere the superscript H denotes the conjugate transpose operation. In this embodiment, a principle description is given by taking an example of matched filtering multi-antenna combining, and actually, the effectiveness of the present invention is not limited to matched filtering multi-antenna combining, but the present invention can still significantly reduce the phase error of the detected signal in other linear schemes such as zero-forcing (ZC) multi-antenna combining, Minimum Mean Square Error (MMSE) multi-antenna combining, and the like. The combined signal (the combined signal is obtained by quantizing the signal r)tMultiplied by the merge vector) is expressed as:
whereinN-th element h representing a channel vector hn,φnDenotes the nth element hnPhase of (1), NP,n,iIs the noise matrix N at the pilot transmission stagePN row and i column elements of (2)t,nRepresenting noise vectors n during data transmissiontThe (n) th element of (a),is based on pilot symbols psiiThe detection signal of (1).
The following is givenProgressive expressions at high signal-to-noise ratios. In a massive MIMO system, the number of base station antennas is large, so the progressive analysis of equation (5) can be performed by the majority theorem. Namely, it is
Where α ═ θt-βi, k is-1, 0. Based on equation (6), it can be further deducedWith the actual transmitted signal xtPhase error between, expressed as:
which represents a convolution of the signals of the first and second,is shown with respect to (theta)t-βi) Has a period ofThe periodic impulse function of (a) is,denotes the truncation of the function f (x) from x-a to x-B. Deltat,iIt is understood that the first pair of deltat,i,mainIs carried out toFor periodic continuation of the period, the extended function is then truncated from-pi to pi. In the same way, can obtainAmplitude of (2)The expression of (a) is as follows:
due to the fact thatAndare all about (theta)t-βi) Has a period ofAnd thus all can be expanded as a fourier series.Can be unfolded as follows:
whereinn-1, 2, … representsOf order n Fourier coefficients anIs a decreasing function with respect to n,the first item of (a)1sin(4(θt-βi) Occupation of99.7% of the power.Can be unfolded as follows:
n-1, 2, … representsN order Fourier coefficients of bn(n-0, 1,2, …) is also a decreasing function with respect to n,the first item b in (1)0Occupy98.8% of the power.
The final phase error is therefore expressed as:
based on the derivation process and equations (10), (11) and (13), the inventors found that reasonably designing the pilot sequence can significantly reduce the phase error of the final detection signal. Therefore, based on the result, the inventor proposes to use the pilot phase sequence β as an optimization variable to minimize the accumulated absolute detection signal phase errorTo optimize the objective, the optimal pilot sequence is solved. Due to the fact thatAndare all about (theta)t-βi) Has a period ofSo that the search for the pilot phase sequence only needs to be at βiE [0, pi/2) in the same way. For ease of solution, the inventors also assume βi-1≤βi(i=2,…,TP). The concrete can be expressed as:
the optimization problem can be solved by an interior point method. The inventors have found that the accumulated absolute detection signal phase error can be minimized as long as the pilot phase sequence satisfies the following condition:
wherein i 1,2P。
Furthermore, the inventors have found that other optimal pilot sequences can be obtained by performing phase shift and position exchange of pilot symbols on the pilot sequence determined by equation (15).
In order to verify the phase error of the optimal pilot sequence generated by the method of the present invention, the inventor performs simulation on the phase error condition of the generated pilot sequence during signal transmission and the phase error condition of the pilot sequence generated by the conventional method during signal transmission by Matlab simulation. The pilot sequence generated by the method can obviously reduce the phase error of the detection signal in the low-bit quantization large-scale MIMO system and reduce the bit error rate of the high-order signal after demodulation in the low-bit quantization large-scale MIMO system. In the simulation, least square channel estimation is used for channel estimation, and the receiving end uses maximum ratio combination.
First, the inventors compared the phase error of the detection signal when the pilot sequence generated by the conventional method (non-optimal pilot sequence, i.e., Zadoff-Chu sequence used in LTE) with the phase error of the detection signal when the pilot sequence generated by the method of the present invention in both cases of pilot length 2 and pilot length 5, and the comparison results are shown in fig. 1. From the simulation of the phase error of the detection signal, it can be seen that: when the pilot lengths are all 2, the conventional pilot sequence is used, and the detected signal phase error thereof is about 4 degrees at the maximum. After the pilot frequency sequence generated by the method of the invention is used, the maximum value of the phase error of the detection signal can be reduced to be less than 0.5 degrees, and the gain of the phase error of the detection signal can be reduced by more than 8 times; when the pilot length is 5, a conventional pilot sequence is used, and the detected signal phase error thereof is about 2.4 degrees at the maximum. After the pilot frequency sequence generated by the method of the invention is used, the maximum value of the phase error of the detection signal can be reduced to be less than 0.03 degree, and the gain of the phase error of the detection signal can be reduced by 80 times.
In addition, the inventor compares the bit error rate of the 64PSK signal based on the conventional pilot sequence and the optimal pilot sequence proposed by the present invention when the base station deploys 1000 antennas with 1-bit quantization, and the comparison result is shown in fig. 2. From the simulation of the bit error rate, it can be seen that the bit error rate of the pilot sequence generated by the method of the present invention is always lower than that of the scheme based on the non-optimal pilot sequence, especially under the condition of high signal-to-noise ratio. When the pilot sequence length is 2 and the pilot sequence length is 5, the bit error rate of the detection signal can be reduced by more than 50 times.
The inventor also compares the bit error rate of the 128PSK signal based on the conventional pilot sequence and the optimal pilot sequence proposed by the present invention when 2-bit quantization is applied to 2000 antennas, and the comparison result is shown in fig. 3. As is apparent from fig. 3, the pilot sequence generated by the method of the present invention can also reduce the bit error rate when quantizing 2 bits, and therefore the method of the present invention is not limited to 1 bit quantization.
In addition, the inventor also compares the bit error rates of the pilot sequences obtained by the conventional method and the method of the present invention after demodulation of 64PSK signals when 2-bit quantization is performed and 1000 antennas are deployed at the base station, and the comparison result is shown in fig. 4. As can be seen from fig. 4, in this simulation situation, the pilot sequence generated by the method of the present invention can also significantly reduce the bit error rate compared to the pilot sequence generated by the conventional method.
Having described embodiments of the present invention, the foregoing description is intended to be exemplary, not exhaustive, and not limited to the embodiments disclosed. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the described embodiments. The terminology used herein is chosen in order to best explain the principles of the embodiments, the practical application, or improvements made to the technology in the marketplace, or to enable others of ordinary skill in the art to understand the embodiments disclosed herein.
Claims (10)
1. A pilot sequence generation method for low bit quantization massive MIMO system, characterized in that the method comprises generating length TPPilot sequence ofSuch that the phase sequence of the pilot sequenceThe following relationship is satisfied:wherein, i is 1,2PLength T of the pilot sequencePIs a positive integer of 3 or more.
2. The method of claim 1, comprising phase-shifting the pilot sequence as a whole to obtain a new pilot sequence;
or the method comprises exchanging the order of the pilot symbols in the pilot sequence to obtain a new pilot sequence.
3. The method of claim 1, wherein the amplitude of each pilot symbol in the pilot sequence is 1.
4. The method of claim 1, wherein the length T of the pilot sequence is equal to the length T of the pilot sequencePIs a positive integer of 4 or more, or 5, or less, or 6, 7, 8, 9, or 10.
5. A method of wireless signal transmission, the method comprising:
(1) generating and transmitting a pilot sequence according to the method of one of claims 1 to 4;
(2) and carrying out high-order signal modulation on the target data and transmitting the target data.
6. A wireless signal receiving method, characterized in that the signal receiving method comprises:
(1) receiving a pilot sequence transmitted by a transmitting terminal by using a plurality of antennas, wherein the pilot sequence is generated by adopting the method of one of claims 1 to 4;
(2) performing channel estimation based on the pilot sequence;
(3) receiving corresponding high-order modulation data sent by the transmitting terminal;
(4) and carrying out multi-antenna combination and demodulation on the received data according to the channel estimation.
7. The method of claim 6, further comprising: the signal received by each antenna is bit quantized.
8. A wireless signal transmitting apparatus, the signal transmitting apparatus comprising at least one transmitting antenna, wherein the wireless signal transmitting apparatus performs pilot sequence generation by using the method of any one of claims 1 to 4 when performing signal transmission.
9. A wireless signal receiving apparatus, the wireless signal receiving apparatus comprising a plurality of receiving antennas, wherein the wireless signal receiving apparatus is configured to receive a pilot sequence generated by the method of any one of claims 1 to 4, and perform channel estimation based on the pilot sequence.
10. A signal transmission/reception system comprising the wireless signal transmission apparatus according to claim 8 and the wireless signal reception apparatus according to claim 9.
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CN109257309A (en) * | 2018-10-24 | 2019-01-22 | 东南大学 | A kind of high performance extensive MIMO downlink transmission channel estimation method |
CN110149285A (en) * | 2019-04-28 | 2019-08-20 | 中国科学院计算技术研究所 | A method of reducing phase error in the high order modulation of low bit quantization |
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