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IRJET- Compressed Sensing based Modified Orthogonal Matching Pursuit in DTTV Systems
1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1658 COMPRESSED SENSING BASED MODIFIED ORTHOGONAL MATCHING PURSUIT IN DTTV SYSTEMS K Durgakumari1, A Ramanjaneyulu2, V Srinivas3 1K Durgakumari: Dept. of Electronics and Communication Engineering, SIET College, AP, India. 2A Ramanjaneyulu: Asst. Prof., Dept. of Electronics and Communication Engineering, SIET College, AP, India. 3V Srinivas: Assoc. Prof., Dept. of Electronics and Communication Engineering, SIET College, AP, India. ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - Digital Terrestrial Television(DTTV) system offers television services with excellent image and sound quality. The technique used here is Modified Orthogonal Matching Pursuit (MOMP) which is used to calculate the impulse response in time domain by compressed sensing (CS) channel estimation. The Compressed Sensing(CS) based channel estimation(CE) is used at the receiver to eliminate spares information. Denoising is very important, in a Compressed Sensing(CS) basedchannelestimation, toimprove the quality of received signals using a determined amount of data. Essentially, it is a challenging problem to remove the noise because of the high frequencycharacteristicsofthenoise while preserving data signals. Thresholding is used to eliminate the effect of noise in this Compressed Sensing based channel estimation, and efficiently improve the data signals. The BER can be calculated by using the impulse response of the DTTV system. Simulation results shows that the BER decreases, if the received signal power from different transmitters are almost equal. Key Words: Digital Terrestrial Television(DTTV), Compressed Sensing(CS), Modified Orthogonal Matching Pursuit(MOMP), Channel Estimation(CE),Orthogonal Matching Pursuit(OMP), BitErrorRate(BER),Signal toNoise Ratio(SNR). 1. INTRODUCTION A signal processing scheme for perfectly reconstructingand obtaining a signal is compressed sensing (or compressive sampling or sparse sampling or compressive sensing). By finding solutions to undetermined linear systems the compressed sensing channel estimation is used. This is depend on the principle that, through optimization, the sparsity of a signal can be abused to reconstruct it from far fewer samples than needed by the Nyquist–Shannon sampling theorem. There are two conditions under which reconstruction is possible. The first one is sparsity, which needs the signal to be sparse in some domain. The second one is incoherence, which is enforced through the isometric property, which is acceptable for sparse signals. A common goal of the engineering field of signal processing is to recover a signal from a series of sampling measurements. In general, this task is impractical because there is no way to recover a signal during the times that the signal is not estimated. Nevertheless, with prior knowledge or hypothesis about the signal, it turns out to be desirable to perfectly recover a signal from a series of estimations (acquiring this series of measurements is called sampling). Over time, engineers have enhanced their understanding of which hypothesis is practical and how they can be generalized. An early development in signal processing was the Nyquist– Shannon sampling theorem. It states that if a real signal's highest frequency is lower than half of the sampling rate (or less than the sampling rate, if the signal is complex),thenthe signal can be recovered perfectly by means of sins. Themain idea is that with prior knowledge about necessity on the signal's frequencies, fewer samples are required to recover the signal. 2. LITERATURE SURVEY The capability of a basis to implement a sparse representation depends on how well the signal characteristics meet the characteristics of the basis vectors. Because the vectors in the dictionary are not a directly independent set, the signal illustrationinthedictionaryisnot unique. However, by generating a redundant dictionary, you can extend your signal in a set of vectors that conform to the time-frequency or time-scale characteristics of your signal. You are free to generatea dictionary includingoftheunionof several bases. For example, you can create a basis for the space of square- integral functions including of a wavelet packet basis and a local cosine basis. A waveletpacketbasisiswellconformedto signals with distinctbehaviorindifferentfrequencyintervals. A local cosine basis is well conformed to signals with distinct behavior in different time intervals. The capability to choose vectors from each of these bases highly increases your capability to sparsely represent signals with varying characteristics. Orthogonal Matching Pursuit(OMP) is an iterative greedy algorithm. In general, the noise is present in the OMP algorithm. Standard CS algorithms have been used to reconstruct the original spectrum, such as orthogonal matching pursuit (OMP). We propose to modify the standard OMP algorithm by using prior knowledge of channel estimation (CE) to improve the reconstruction performance, thus further reducing the Bit-Error-rate.
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1659 We have introduced two Basic Pursuit (BP) based reconstruction algorithms considering prior knowledge and their limitations. To overcome these, we propose a modified OMP. There are some cooperative wideband spectrum sensing algorithms modified upon standard Compressed Sensing (CS) algorithms usingsharedknowledgeoftheusers, under the assumption that there is channel to share information. Simulation shows that the modified OMP algorithm has much better reconstruction performance in mean square error (MSE). 3. METHODOLOGY For fast Compressed Sensing of natural signal, where the original signal is divided into small blocksintheBlock-based model sampling and each block is sampled independently using the same measurement operator. The imageisdivided into small blocks with size of N×N each in block based Compressed Sensing and sampled with the same operator. Fast Fourier transform is carried out for each block after dividing the images into blocks. Threshold is calculated according to noise level, after transforming the signal in sparse domain. The sensing processisdone,aftercalculating the threshold and the MOMP reconstruct the noise free signal. The below fig -1 shows the receiver block diagram. Fig -1: Receiver block diagram 4. IMPLEMENTATION Fig -2 shows the block diagram of Modified Orthogonal Matching Pursuit, where ğh(t) and ğh(t) are horizontal and vertical branch high noise impulse responses respectively. These impulse responses are received from the receiving antennas. Compressedchannel estimationisappliedonboth branches at the same time. After completing the channel estimation process the signal is fed to the horizontal and vertical branches separately.OMP is applied on horizontal branch for calculating gain and the delay. The delayfrom the horizontal branch fed to the vertical branch. Thus reduces the delay by applying the LS on vertical branch for calculating the gain. The delay is calculated only once. After calculating the delay and gain on both t he branches, filter operation is performed for further reducing unwanted signal. Finally, the low noise time domain impulse response can be obtained. Fig -2: Block diagram of MOMP 5. RESULTS AND DISCUSSIONS In this section, describe the simulator parameters and demonstrate, through simulation results, that the performance of our proposed STBC transmission scheme is better than that of the conventional system. 2- Rayleigh fading channel and ideal channel estimation are assumed in the simulation. Quadrature phase-shift keying (QPSK) modulation is applied. We measured the bit error rate (BER) performance versus signal to noise ratio(SNR) for the proposed technique. 5 10 15 20 25 10 -6 10 -5 10 -4 10 -3 10 -2 10 -1 signal to noise ratio(db) BitErrorRate power difference at 0db power difference at -3db power difference at -6db power difference at -9db Fig -3: BER performance at transmitting end Above fig -3 shows the Bit Error Rate (BER) performance for different power differences between the Divide Blocks FFT Threshold calculation Compressed sensing MOMPIFFTFusion noise Input signal Noise free signal ğh(t) ğv(t) Channel Impulse Response Estimator using Compressed Sensing OMP for horizontal branch LS for vertical branch Filter Filter gh(t) gv(t) Delay
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1660 two base stations at the transmitting end. The BER performance improves if the approaches to 0 which means both base station A and B have the same signal power at the receiver. The table -1 below shows the different power differences for both the base stations. Table -1: Simulation results at transmitting end Technique Bit Error Rate(b/s) Signal to noise ratio(db) Power difference at 0db 0.03 10 Power difference at -3db 0.02 10 Power difference at -6db 0.001 15 Power difference at -9db 0.0004 15 -18 -16 -14 -12 -10 -8 -6 -4 -2 0 10 -6 10 -5 10 -4 10 -3 10 -2 signal to noise ratio(db) BitErrorRate linear interpolation OMP MOMP Fig -4: BER performance Vs signal to noise ratio at base station 1 The below fig -4 shows the Bit Error Rate(BER) Vs Signal to Noise ratio, if one of the base station(i.e. base station 1) received power fixed. The received power at another base station(i.e. base station 2) is varied. In this figure, the DTTV system performance is improved when compared with the previous technique. The table -2 below shows the different SNR for different bit error rates at base station 1. Table -2: Simulation results for base station 1 Technique Bit Error Rate(b/s) Signal to noise ratio(db) Linear interpolation 0.0008 -12 OMP 0.0008 -12 MOMP 0.0002 -10 The below fig -5 shows the Bit Error Rate(BER) Vs Signal to Noise ratio, if one of the base station(i.e. base station 2) received power fixed. The received power at another base station (i.e. base station 1) is varied. In this figure, the DTTV system performance is improved when compared with the previous techniques. -18 -16 -14 -12 -10 -8 -6 -4 -2 0 10 -4 10 -3 10 -2 10 -1 signal to noise ratio(db) BitErrorRate linear interpolation OMP MOMP Fig -5: BER performance Vs signal to noise ratio at base station 2 The table -3 below shows the different SNR for different bit error rates at base station 2. Table -3: Simulation results for base station 2 Technique Bit Error Rate(b/s) Signal to noise ratio(db) Linear interpolation 0.012 -12 OMP 0.009 -10 MOMP 0.0042 -8 6. CONCLUSION A modern broadcasting technology Digital terrestrial television (DTTV), which permitted users to offer television services with excellent image and sound quality. Many countries assigned with a new digital television(DTTV) standardization process. The modern digital broadcasting system to achieve additional BER and channel gains, the MIMO transmission scheme is utilized. An investigation of two base stations based SFN-STBC DTTV system, and provided the corresponding simulated performance under the 2- Rayleigh fading channel. IntheDTTVsystem,thesignal power variation of base stations results to different received powers in the receiver side. Thus, improved BER performance can be achieved through the MOMP technique.
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of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1661 REFERENCES 1. A. Mattsson, “Single frequency networks in DTTV,” IEEE Transactions on Broadcasting, vol. 51, no. 4, pp. 413–422, 2005. View at Publisher • View at Google Scholar 2. D. Donoho, “Compressed sensing(CS),” IEEE Transactions on Information Theory, vol. 52, no. 4, pp. 1289–1306, 2006. 3. K. Hayashi, M. Sakai,T.Karnenosono,andM.Kaneko, Compressed sensing based channel estimation for uplink OFDMA systems, AsiaPacific Signal and Information Processing Association, 2014 Annual Summit andConference (APSIPA),pp.1-7,Dec2014. 4. A. Gilbert and J. Tropp“Signalrecoveryfromrandom measurements via orthogonal matching pursuit,” IEEE Transactions on Information Theory, vol. 53, no. 12, pp. 4655–4666, 2007. 5. A. Gilbert and J.TroppSignalRecoveryfromRandom Measurements via Orthogonal Matching Pursuit, IEEE Trans. on Information Theory, vol.53, no.12, Dec. 2007. 6. B. G. (2006), Evans. DVB: The future. In Proceedings of the IET Seminar on Digital Video Broadcasting over Satellite: Present and Future, (Vol. 1, pp. 101– 105). London, UK. 7. G. Giannakis and Z. Tian “Compressed sensing for wideband cognitive radios,” in IEEE International Conference on Acoustics, Speech and Signal Processing, vol. 4, pp. 1357–1360, 2007. 8. Wu, H. C & Feng, X.(2011). Injection-level optimisation for digital television transmitter identification systems using Kasami sequences. IET Communications, 5(16), 2397–2406. 9. Y. Wang, Y. Polo, A. Pandharipande, and G. Leus, “Compressive wideband spectrum sensing,” in IEEE International Conference on Acoustics, Speech and Signal Processing, pp. 2337 –2340, 19-24 2009. 10. S. I., Lee, Park J. Y., Kim, H. M., & Oh, W. (2008). Transmitter identification signal analyzer for single frequency network. IEEE Transactions on Broadcasting, 54(3), 383–393. 11. Z., Gui, Lijun, L., Yantao, Q., & Wenjun, Z. (2004). Obtaining diversity gain for DTV by using MIMO structurein SFN. IEEE Transaction on Broadcasting, 50(1), 83–90. 12. P., Arrinda, A., Prieto, Atanes,G., Angueira, P., Velez, M. M. Prieto, P. (2009, April). MIMO performance of the next generation DVB-T. In Proceedings of VTC Spring 2009, Barcelona, Spain, pp. 1–5. 13. Y., Helard, J.-F., Nasser, & Crussiere, M. (2007). 3D MIMO scheme for broadcasting future digital TV in single-frequency networks. IET Electronics Letters, 44(13), 829–830. 14. J. & Meuel, Robert, H., (2010, June). MIMO channel analysis using DVB-T signals.In IEEE symposiumon ISCE 2010, Braunschweig, Germany, pp. 1–5. 15. C., Cu’ellar, L., de Haro L., & Mart’inez, G’omez- Calero, R. (2009, May) A 22 novel MIMO testbed for DVB-T2 systems.InIEEEsymposiumonBMSB2009, Bilbao, Spain, pp. 1–5. 16. ETSI. (2009). Digital Video Broadcasting (DVB); Framestructurechannel coding and modulation for a second generation digital terrestrial television broadcasting system (DVB-T2). ETSI EN 302 755 V1.1.1. 17. ETSI. (2009, February). Implementation guidelines for a second generation digital terrestrial television broadcasting system (DVB-T2). DVB Document A133. 18. L., Benvenuto, N., Tomasin, S., Nokes, Vangelista, C., Stott, J., Filippi, A., et al. (2009). Key technologies for next-generation terrestrial digital television standard DVB-T2. IEEE Communications Magazine, 47, 146–153. 19. G., Eizmendi, I., Velez, M., Prieto, Berjon-Eriz, G., Correia, S., Arrinda, A. et al. (2010, March). Laboratory tests for testing DVB-T2 mobile performance. In IEEE symposium on BMSB 2010, Shanghai, China, pp. 1–5. 20. Z., Xiao-lin, Z., Zhan, & Yan-zhong, Z. (2010, July).On dual timing modulator forChinese digital terrestrial multimedia broadcasting. In Proceedings of ITCS 2010, Kiev, Ukraine, pp. 273–276.
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