EP1317831A2 - Verfahren und ofdm-empfänger zum verringern des einflusses harmonischer störungen auf ofdm-übertragungssysteme - Google Patents
Verfahren und ofdm-empfänger zum verringern des einflusses harmonischer störungen auf ofdm-übertragungssystemeInfo
- Publication number
- EP1317831A2 EP1317831A2 EP01978126A EP01978126A EP1317831A2 EP 1317831 A2 EP1317831 A2 EP 1317831A2 EP 01978126 A EP01978126 A EP 01978126A EP 01978126 A EP01978126 A EP 01978126A EP 1317831 A2 EP1317831 A2 EP 1317831A2
- Authority
- EP
- European Patent Office
- Prior art keywords
- interference
- ofdm
- signal
- channel
- transmission
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Ceased
Links
Classifications
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
- H04L27/2647—Arrangements specific to the receiver only
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0045—Arrangements at the receiver end
- H04L1/0054—Maximum-likelihood or sequential decoding, e.g. Viterbi, Fano, ZJ algorithms
Definitions
- the invention relates to a method and an OFDM receiver for reducing the influence of harmonic interference on OFDM transmission systems according to the preamble of claims 1 and 3, respectively.
- OFDM Orthogonal Frequency Division Multiplexing
- PLC powerline communication
- frequency-selective channel properties are detected almost regularly due to reflections, which are recorded analytically by a corresponding transmission function and clearly described.
- An important reason for the selection of OFDM transmission technology is the robust system behavior in frequency-selective channels and the relatively low processing effort for equalizing the received signals.
- interference signals are also referred to as "inter-carrier interferences", “adjoining sub-carrier interferences” (AsCI) or “adjacent carrier interferences” (ACI) and influence the transmission quality (residual / bit error rate) of a relevant receiver Data transmission system based on OFDM technology, negative.
- Such AsCI effects generally arise from additive stationary, harmonic interference components on the transmission channel, through duplication Interference components that arise as a result of a moving receiver, or else due to phase noise processes of the receiver oscillator, the interference spectrum of which contains significant energy components outside the OFDM sub-carrier bandwidth.
- windowing or windows used here has so far only been used on the transmitter side for spectrum shaping and on the receiving side for improving the adjacent channel suppression.
- An application of the window or the window for the reduction of so-called "spectral leaks" and thus for the suppression of adjacent channels is known for example from the document EP 0 802 649 AI.
- the object of the present invention is to reduce a negative influence on the transmission quality (residual / bit error rate) of a data transmission system based on OFDM technology by narrowband harmonic interference signals occurring on a reception side and thereby to increase the transmission quality of the data transmission system.
- this object is achieved according to the invention by the method steps of claim 1. This object is further achieved according to the invention with respect to a receiver by the features of claim 3.
- Both the method according to the invention and the receiver according to the invention are based on the idea of using two separate technical measures and these at the same time, in order thereby to obtain an enormously high immunity to interference of the transmission system.
- One of the two technical measures alone is not enough to maintain this enormously high immunity to interference.
- OFDM transmission technology is already very robust in frequency-selective channels. However, this robustness is expanded again by the measures according to the invention. Interference situations are now included in which additive harmonic signals that are characteristic of PLC applications occur.
- the high immunity to interference and thus the high performance of a transmission system in question is achieved by the simultaneous use of a window function and a determined reliability information.
- the window function is a Nyquist-shaped window function which, in particular, generates low secondary lobes in the subcarrier and interference spectra, but at the same time leaves the orthogonality of the subcarriers unchanged.
- To determine the reliability information for example, a measurement is carried out when a so-called zero symbol is sent in order to detect the currently active interference signals. The reliability information is then derived from the measured values obtained. If this subcarrier-specific information is taken into account in a so-called Viterbi decoder, the enormous immunity to interference is achieved.
- the interference power of a harmonic signal can have a high dynamic range. Measurements have shown that a logarithmic normal distribution is useful for the model description of these disturbance situations.
- sloping window flanks that is to say, for example, larger rolloff factors, can be used in order to lower the secondary peaks of the resulting interference spectra even further, and on the other hand a lower code rate can be taken into account in the convolutional encoders in order to improve them significantly To achieve error correction.
- the processing effort in the receivers is increased only insignificantly.
- the task of measuring interference power in the zero symbol and considering the reliability information in the Viterbi decoder marginally increases the processing effort.
- the cosine rolloff window only slightly increases the overhead by extending the guard interval.
- FIG. 1 shows a diagram with respect to a spectrum of an OFDM
- FIG. 2 shows a diagram relating to the influence of neighboring subcarriers by a harmonic interference with a relative frequency offset
- FIG. 3 shows a diagram relating to interference power as a function of the subcarrier spacing with a relative frequency offset of the interference as a parameter
- FIG. 4 shows a diagram relating to an error floor in the event of a disturbance due to a harmonic signal (16-QAM, uncoded, AWGN channel)
- FIG. 6 shows a graph with regard to damping the secondary maxima of the harmonic interferer by cosine rolloff windowing as a function of the invention the rolloff factor
- FIG. 7 shows a diagram with respect to a received OFDM symbol with a cosine rolloff window
- FIG. 8 shows a diagram with regard to an effect of the cosine rolloff window evaluation on an uncoded QPSK transmission in the AWGN with an interferer as a function of the interference power
- FIG. 11 shows a graph relating to an estimate of a harmonic disturbance in the AWGN noise
- FIG. 12 shows a diagram with regard to a residual bit error rate of an encoded transmission with reliability information for different bandwidth efficiencies (1 to 3 bits / s / Hz)
- FIG. 14 shows a graph relating to a residual bit error rate of a coded transmission with 2 useful bits / subcarrier
- Figure 16 is a graph relating to an OFDM receiver according to the invention.
- the OFDM transmission technology considered in this report is based on the subdivision of the system bandwidth B into N FT equidistantly at intervals ⁇ _f on the sub-channels arranged on the frequency axis.
- the subchannels or the subcarriers are orthogonal to one another and there is no mutual interference between adjacent subcarriers.
- a rectangular modulation pulse is used in each subchannel, so that, taking into account the guard interval of length T G, the following transmission signal is generated for the kth subcarrier.
- a complex modulation symbol S n , k is applied to each individual subcarrier k at time n.
- the subcarrier signals are modulated separately and transmitted in parallel as a sum signal.
- the nth OFDM symbol is calculated analytically by an additive superposition of the individual subcarrier signals and represented by the following equation:
- an OFDM symbol can be represented by an additive superposition of complex exponential functions, each of which is weighted with the modulation symbol S n , k.
- the subcarrier spectra Due to the rectangular pulse shaping, the subcarrier spectra have a si-shaped course
- G k (f) Tsi ( ⁇ T (f - kAf)).
- Figure 1 shows the equidistant arrangement of the individual subcarriers on the frequency axis.
- One of the subcarriers is marked with the number 1.
- the other subcarriers have a corresponding course.
- the specially selected subcarrier spacing completely prevents intercarrier interference (ICI) between neighboring subchannels.
- ICI intercarrier interference
- the transmission system is sensitive to narrow-band interference signals.
- the received signal r n (t) is first correlated with the subcarrier-specific modulation pulses g k (t) of the th subcarrier. As a result, the received signal is divided into the various orthogonal subcarrier signal components. In this processing step, the orthogonality of the subcarrier signals is completely preserved even when transmitted in frequency-selective channels. This characteristic characterizes an important advantage of OFDM transmission technology. ⁇ ⁇ -.- ⁇ ⁇ r . (*), Ft ( «- « D>.
- the duration of the interference signals is considerably longer than the symbol duration T s of the OFDM useful signal.
- the interference amplitude a ⁇ is assumed to be constant within the symbol duration, and a harmonic interference signal with a random frequency fj is generated for a short time.
- a suitable (statistical) model of the interference signals to be expected should first be developed and described analytically.
- a narrowband interference signal can act as a complex exponential function
- ⁇ n (t) a ⁇ ⁇ e j * - flt + ⁇ l
- the resulting interference signal is interpreted as a stochastic process, with equally distributed frequencies _fj and equally distributed phases ⁇ j in the interval [0; 2 ⁇ ].
- the received signal r (t) is represented with the above-described assumptions and, if the frequency-selective channel influence is neglected, by an additive superimposition of the transmitted signal, the harmonic interference signals and an additive noise process n mGN (t).
- the effects of a single interference signal on the OFDM useful signal should first be examined in more detail. Due to the assumed constant amplitude aj within the symbol duration T s , the interference signal spectra are identical to those of the subcarrier spectra and show a S -shaped course. However, the frequency position of the interference spectra can be regarded as random and independent of the useful signal spectrum. Due to the additive superimposition between useful and interference signal components in the receiving At the output of the FFT, signal r (t) also produces an additive superposition between the useful and interference signal components.
- the si-shaped signal spectra shown in FIG. 1 have high side lobes.
- a random spectrum of interference in the frequency position not only interferes with a single one, but generally for a large number of neighboring OFDM subcarriers. This situation is clearly shown in FIG. 2.
- the interference spectrum shown in FIG. 2 is marked with the number 2.
- OFDM subcarrier is located. This figure clearly shows the interference effect on neighboring subcarriers. Due to the center frequency considered here, even relatively distant subcarriers are still significantly disturbed by the high secondary peaks of the Si-shaped interference spectra.
- Bit error rate of the overall OFDM system is influenced in particular by the frequency position of the interference signal relative to the OFDM useful signal and also by the respective power of the interference signal.
- the resulting effect of the interference signal as a function of the frequency position is indicated quantitatively in FIG.
- the ratio between useful and interference signal power should serve as a measure of the strength of the interference signals. This procedure has the advantage that this variable is independent of the relative frequency offset
- the total interference power distributed to all OFDM subcarriers is calculated as follows:
- the ratio between useful and interference signal power can be calculated as follows:
- a received OFDM symbol is processed in the time domain by means of cyclic rotation of the OFDM receive symbol and subsequent Nyquist windowing in such a way that the interference spectrum is reduced outside the subcarrier bandwidth.
- Such a reduction occurs because the bandwidth in which the interference has an influence on the signal-to-noise ratio of the individual orthogonal carriers is minimized.
- a channel estimate of the channel transmission function is carried out at the subcarrier level in parallel with the first, and the signal-to-noise ratio is calculated or estimated by means of an estimate of the interference power at the subcarrier level.
- This information relating to the noise power is then taken into account as channel status information in the case of error decoding by means of, for example, a Viterbi decoder. The consequence of this is an optimization of the decoder metric.
- Nyquist window functions which can be implemented as cosine rolloff windows, are used to reduce the spectral side lobes. This is the filter form usually used for sending pulse shaping with the change that the course of the signal is interchanged in the time and frequency domain. The following applies: fflrS ⁇ teJI ⁇ lr ⁇ 1 + '
- the calculated window function f C ⁇ o (n) has a so-called Nyquist edge in the time domain, which is characterized by point symmetry at the limits of the useful symbol duration T s .
- This property initially leads in the frequency domain to the still desired equidistant zeros in the distance between the OFDM subcarriers and thus avoids the occurrence of inter-carrier interference between the individual OFDM subcarriers.
- the side lobes in the interference signal spectra are significantly reduced. This can significantly reduce the sensitivity of the entire OFDM system to interference.
- N W and W values are to be arranged before and after the useful symbol duration T s . The efficiency of an OFDM system with window evaluation is thus
- part a) there is an OFDM symbol consisting of the guard interval (GI) of length N Gu ard, the front and rear protection intervals for the cosine rolloff windowing, each with Nwi n do w samples and the useful interval of length N FFI shown.
- GI guard interval
- Nwi n do w samples and the useful interval of length N FFI
- an arbitrarily selected subcarrier signal (green), a harmonic interference signal (red) and the cosine rolloff window function (blue) are shown.
- the received signal is first weighted using the window function, resulting in the signals specified in part b). This weighting leads to an attenuation of the received signal in the area of the window flanks.
- the signal components in the protection intervals are additively superimposed on the weighted received signals in the useful interval on the basis of part b).
- the signal thus created and shown in part c) is transformed into the frequency domain with an FFT of length N FT . Due to the symmetry properties in the cosine rolloff window function, the orthogonality of the OFDM subcarrier signals is completely preserved because of the uniform period length T s . This fact can be clearly seen from the following equation and from part c).
- the principle of window evaluation is a purely passive procedure to reduce the influence of narrowband and tonal interferers. It has the decisive advantage that neither the transmitter nor the receiver needs to have precise information about the frequency and power of the interference in order to improve the transmission performance. Only a slightly longer guard interval is required for the system design. It is possible to compensate for the rolloff factor r between the required robustness of the system and the somewhat reduced bandwidth efficiency. Even with relatively small rolloff factors r, good suppression of the side lobes in the subcarrier and interference spectra can be achieved. Rolloff factors r ⁇ 0.1 already lead to satisfactory results.
- the BER remains very high even at relatively high SIR values, because in every situation at least one of the subcarriers leads to faulty transmission due to the harmonic interferer.
- the error pattern changes depending on the different window functions and the number of subcarriers that are disturbed, but the resulting BER remains very high in all the cases considered.
- both the frequency position and the phase of the interference signal were chosen at random.
- the BER shown in FIG. 8 and created in the overall system contains the average error rate of all subcarriers.
- the subcarrier-specific BER which is shown in FIG. 9 for a SIR value of 4 dB, is much more revealing.
- a harmonic interference signal leads to interference with approximately 80 of the 256 subcarriers used. For this reason, a BER of around 15% arises.
- the harmonic interfering signal always causes a burst-like error structure that has to be processed in the area of channel coding, for example by interleaver techniques.
- the second technical measure is based on an interference situation in which directly adjacent subcarriers are disturbed by harmonic signals. Such disturbances result in burst-like error structures. These error structures are subsequently processed using a special error correction procedure. For this purpose, a convolutional code of the rate R is considered in connection with a frequency interleaver.
- a maximum likelihood (ML) decoding is implemented in the receiver by the Viterbi algorithm.
- the conditional probability with which a symbol R is received is thereby maximized.
- the symbol Ri is received on the assumption that a symbol S ⁇ has been sent. This optimization criterion is equivalent to the task of finding the transmission symbol sequence that is at a minimal Euclidean distance from the existing reception symbol sequence.
- the analytical derivation of an ML decoding is considered first.
- the complex reception symbol Ri of a single subcarrier i can be represented analytically as follows.
- 2 and the noise power ⁇ 5 ⁇ 2 must be known.
- the transmission factors are
- a metric was used in the Viterbi decoder that describes the channel using an AWGN model. The influence of the interference signal was initially completely ignored in the metric.
- a significant improvement in the decoding behavior can, however, already be achieved if additional information describing the instantaneous fault state is taken into account in the decoding.
- the current interference power is estimated specific to the subcarrier and used in the Viterbi decoder as reliability information RI.
- This measurement can, for example, be carried out relatively easily in a symbol duration T s in which there is no transmission symbol on the line. In other words, this measurement is carried out when a so-called zero symbol is sent.
- the signal level measured in this case at the FFT output (amount of the complex reception Symbols) is used directly as reliability information in the Viterbi algorithm.
- the background noise which is always present and is distributed stochastically, is determined.
- the deterministic interference signals are also measured at the same time. Such a measurement result is shown by way of example in FIG.
- the noise values are masked out in a suitable quantization step and the interference signal amplitudes are used as reliability information for the decoding of the subsequent OFDM useful signals in the Viterbi algorithm.
- FIG. 12 shows the residual bit error rate for the transmission with different bandwidth efficiencies (from 1 to 3 bits / s / Hz) in the AWGN channel, taking into account the reliability information.
- the clear difference in system robustness depending on the bandwidth efficiency of the process is remarkable. If the residual bit error rate in a coded QPSK transmission is low even with strong interference, the same robustness can only be achieved when the number of bits per carrier is doubled when the signal power is 6 dB higher.
- a cosine rolloff window with two different factors r is taken into account. The picture clearly shows the dramatic improvement achieved by combining the two measures.
- FIG. 14 shows the residual bit error rate of a coded transmission with 2 useful bits / subcarriers in the AWGN channel.
- the total interference power is calculated from the sum of the individual interference services. This is taken into account in the illustration, so that the loss of approximately 3dB when the number of interferers is doubled does not arise due to an increased interference power, but due to the interference in separate frequency ranges. The occurrence of multiple interferers can greatly increase the interference power of a single subcarrier.
- FIG. 16 shows a receiver according to the invention for carrying out the method described above.
- this receiver has both means for detecting narrow-band interference signals and means for Nyquist windowing.
Abstract
Description
Claims
Applications Claiming Priority (3)
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DE10045088 | 2000-09-12 | ||
DE10045088 | 2000-09-12 | ||
PCT/DE2001/003507 WO2002023844A2 (de) | 2000-09-12 | 2001-09-12 | Verfahren und ofdm-empfänger zum verringern des einflusses harmonischer störungen auf ofdm-übertragungssysteme |
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EP1317831A2 true EP1317831A2 (de) | 2003-06-11 |
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US (1) | US7366088B2 (de) |
EP (1) | EP1317831A2 (de) |
WO (1) | WO2002023844A2 (de) |
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US6959050B2 (en) * | 2001-06-15 | 2005-10-25 | Motorola, Inc. | Method and apparatus for synchronizing an OFDM signal |
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2001
- 2001-09-12 WO PCT/DE2001/003507 patent/WO2002023844A2/de active Application Filing
- 2001-09-12 EP EP01978126A patent/EP1317831A2/de not_active Ceased
- 2001-09-12 US US10/380,339 patent/US7366088B2/en not_active Expired - Lifetime
Non-Patent Citations (1)
Title |
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See references of WO0223844A2 * |
Also Published As
Publication number | Publication date |
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US7366088B2 (en) | 2008-04-29 |
WO2002023844A3 (de) | 2002-05-10 |
US20040022175A1 (en) | 2004-02-05 |
WO2002023844A2 (de) | 2002-03-21 |
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