Abstract
Wireless communication link at the physical layer can be described as a signal transmission over multiple propagation paths which are different in the gain and the delay. But in reality there are only a few significant paths responsible for the most signal energy transmission between transmitter and receiver. Such a sparse nature of the propagation environment promotes the use of the compressed sensing methods for channel impulse response estimation in the receiver. Unfortunately, a typical band-limited transmission violates the strict channel sparsity making the impulse response reconstruction more complex. The paper presents an analysis of channel impulse response estimation with the Orthogonal Matching Pursuit algorithm. A modification of the classical OMP method is proposed in order to improve both the channel estimation and the data transmission qualities in case of a weak condition of the impulse response sparsity. This proposition is numerically evaluated for the general case of the OFDM transmission over a sixth path urban channel model. The results are compared to the ones obtained for the strict sparse impulse response instance.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Failli, M.: Digital land mobile radio communications COST 207. Technical report, European Commission (1989)
Guidelines for evaluation of radio transmission technologies for imt-2000. Technical Report Rec. ITU-R M.1225, ITU (1997)
Dai, L., Wang, J., Wang, Z., Tsiaflakis, P., Moonen, M.: Spectrum- and energy-efficient OFDM based on simultaneous multi-channel reconstruction. IEEE Trans. Signal Process. 61(23), 6047–6059 (2013). https://doi.org/10.1109/TSP.2013.2282920
Dai, L., Wang, Z., Yang, Z.: Compressive sensing based time domain synchronous OFDM transmission for vehicular communications. IEEE J. Sel. Areas Commun. 31(9), 460–469 (2013). https://doi.org/10.1109/JSAC.2013.SUP.0513041
Ding, W., Yang, F., Pan, C., Dai, L., Song, J.: Compressive sensing based channel estimation for OFDM systems under long delay channels. IEEE Trans. Broadcast. 60(2), 313–321 (2014). https://doi.org/10.1109/TBC.2014.2315913
Dziwoki, G., Izydorczyk, J.: Iterative identification of sparse mobile channels for TDS-OFDM systems. IEEE Trans. Broadcast. 62(2), 384–397 (2016). https://doi.org/10.1109/TBC.2016.2529288
Tropp, J., Gilbert, A.: Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inf. Theor. 53(12), 4655–4666 (2007). https://doi.org/10.1109/TIT.2007.909108
Needell, D., Tropp, J.: Cosamp: iterative signal recovery from incomplete and inaccurate samples. Appl. Comput. Harmonic Anal. 26(3), 301–321 (2009). https://doi.org/10.1016/j.acha.2008.07.002
Qaisar, S., Bilal, R.M., Iqbal, W., Naureen, M., Lee, S.: Compressive sensing: from theory to applications, a survey. J. Commun. Netw. 15(5), 443–456 (2013). https://doi.org/10.1109/JCN.2013.000083
Candes, E., Wakin, M.: An introduction to compressive sampling. IEEE Signal Process. Mag. 25(2), 21–30 (2008). https://doi.org/10.1109/MSP.2007.914731
Haykin, S.: Adaptive Filter Theory, 5th edn. Pearson, Harlow (2014)
Dziwoki, G., Izydorczyk, J.: Stopping criteria analysis of the OMP algorithm for sparse channels estimation. In: Gaj, P., Kwiecień, A., Stera, P. (eds.) CN 2015. CCIS, vol. 522, pp. 250–259. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-19419-6_24
Dziwoki, G.: Averaged properties of the residual error in sparse signal reconstruction. IEEE Signal Process. Lett. 23(9), 1170–1173 (2016). https://doi.org/10.1109/LSP.2016.2588728
Baraniuk, R.G., Cevher, V., Duarte, M.F., Hegde, C.: Model-based compressive sensing. IEEE Trans. Inf. Theor. 56(4), 1982–2001 (2010). https://doi.org/10.1109/TIT.2010.2040894
Acknowledgement
This work was supported by the Ministry of Science and Higher Education funding for statutory activities (BK-232/RAu-3/2017).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Dziwoki, G., Kucharczyk, M., Izydorczyk, J. (2018). Modified OMP Algorithm for Compressible Channel Impulse Response Estimation. In: Gaj, P., Sawicki, M., Suchacka, G., Kwiecień, A. (eds) Computer Networks. CN 2018. Communications in Computer and Information Science, vol 860. Springer, Cham. https://doi.org/10.1007/978-3-319-92459-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-92459-5_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-92458-8
Online ISBN: 978-3-319-92459-5
eBook Packages: Computer ScienceComputer Science (R0)