滤波多音调制（FMT）在WLAN环境下的技术研究
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摘要
为实现未来移动通信的高速宽带和可靠传输，以正交频分复用(OFDM)为代表的多载波调制(MC)技术，因其良好的抗多径能力和克服码间干扰(ISI)的能力而获得了深入研究和广泛应用，其中OFDM已经被多个标准采用，并作为第四代宽带移动通信(4G)系统的备选关键技术之一。但是OFDM也存在一些内在缺点，如它的正交性在传输中易受破坏，从而需要大量的开销(循环前缀(CP)和虚载波等)、较为严格的现载波与定时同步等来保证系统性能。针对OFDM的这些缺点，本文研究了一种新的多载波调制技术——滤波多音调制(FMT)技术及其在无线通信中的应用。
滤波多音调制是基于滤波器组(filter banks)的多载波技术。该技术的主要特点是各子信道具有很高的频谱约束性，对系统频率偏差不敏感，从而克服了OFDM易受频率偏差影响的弱点。但由于采用了不满足理想重构条件的有限冲激响应(FIR)滤波器作为子信道滤波器，FMT系统引入了码间干扰(ISI)，因此系统接收端需要引入子信道均衡技术，以消除滤波器组的影响。
本文系统介绍了FMT基本概念。由于FMT是基于滤波器组调制的技术，因此我们从多采样率数字信号处理和滤波器组技术的角度，对FMT的基本概念进行了描述，给出了严格采样FMT系统和非严格采样FMT系统的有效实现形式。
在FMT系统中，影响系统性能的关键参数是原形滤波器的性能。本文对FMT系统滤波器组的设计进行了系统的研究。由于FMT系统性能与滤波器组的性能息息相关，因此滤波器组的设计成为FMT技术的关键之一。根据FMT的特点，本文提出FMT系统中滤波器组设计的几项性能指标，给出满足这些指标的滤波器设计方法和实例，同时创新性地提出了一种优化的FMT原型滤波器的设计方案。仿真试验表明，采用该准则设计出的原形滤波器与其他方法相比具有较高的可达比特率和较好的误比特率性能。
系统均衡器的设计。因为FMT系统是采用频带严格受限的滤波器组实现的，因此不可避免地引入了ISI，而有效克服ISI的方式是均衡技术。本文根据FMT的特点提出不同的均衡方案，并通过仿真实验比较它们的性能，提出不同环境，不同要求下的不同的均衡方案，同时研究了基于辅助数据均衡(DAE)技术，创新提出了结合因子图的DAE二次判决算法，将其应用于FMT中，取得了良好的均
Multicarrier modulation technique has recently evoked considerable interests and widespread applications for its attractive qualities in resisting multi-path effects and mitigating ISI. Taken as an example, the OFDM technique has been adopted for some formed standards and even regarded as a candidate for the coming 4G-wideband mobile communication systems. However, OFDM has some intrinsic shortcomings: its orthogonality is susceptible to be destroyed in practical transmission, thus considerable overheads (CP and virtual carriers), strict synchronization and etc. are needed. In order to avoid these disadvantages of OFDM, a new multicarrier modulation technique, named Filtered Multitone Modulation (FMT) is studied for its applications in wireless communication in this thesis, with some related aspects being investigated intensively.
FMT is also a multicarrier modulation technique based on filter bank technology. The main character of this technique is the high-spectral constraint of each subcarrier which results in its non-sensitivity to frequency offset where OFDM enduring. However, FMT has inter-symbol interferences (ISI) which are caused by the non-ideal subchannel filters. ISI has to be eliminated by per-subchannel equalizers.
Firstly, we introduced the basic concept and efficient realization of FMT system in this dissertation. FMT belongs to filter bank technology. Thus we give description of FMT system based on multirate signal processing and filter banks. Efficient realizations of both critically sampling system and non-critically sampling system are deduced.
Secondly, we analyze how to design the filter bank or equavently the prototype filter. For FMT system, one of the most important coefficients is the prototype filter. Its performance affects the performance of the overall system directly. Thus, we first give the design requirements of the prototype filter. Then, we give some examples which could satisfy these requirements. Finally, we deliver a scheme on optimizing the prototype filter. Simulation results show that optimum prototype filter could achieve better error probability performance and achievable bit rates.
Third, we consider how to design the subcarrier equalizers. FMT system should add subcarrier equalizers at the output of the receiver to compensate ISI introduced by
滤波多音调制是基于滤波器组(filter banks)的多载波技术。该技术的主要特点是各子信道具有很高的频谱约束性，对系统频率偏差不敏感，从而克服了OFDM易受频率偏差影响的弱点。但由于采用了不满足理想重构条件的有限冲激响应(FIR)滤波器作为子信道滤波器，FMT系统引入了码间干扰(ISI)，因此系统接收端需要引入子信道均衡技术，以消除滤波器组的影响。
本文系统介绍了FMT基本概念。由于FMT是基于滤波器组调制的技术，因此我们从多采样率数字信号处理和滤波器组技术的角度，对FMT的基本概念进行了描述，给出了严格采样FMT系统和非严格采样FMT系统的有效实现形式。
在FMT系统中，影响系统性能的关键参数是原形滤波器的性能。本文对FMT系统滤波器组的设计进行了系统的研究。由于FMT系统性能与滤波器组的性能息息相关，因此滤波器组的设计成为FMT技术的关键之一。根据FMT的特点，本文提出FMT系统中滤波器组设计的几项性能指标，给出满足这些指标的滤波器设计方法和实例，同时创新性地提出了一种优化的FMT原型滤波器的设计方案。仿真试验表明，采用该准则设计出的原形滤波器与其他方法相比具有较高的可达比特率和较好的误比特率性能。
系统均衡器的设计。因为FMT系统是采用频带严格受限的滤波器组实现的，因此不可避免地引入了ISI，而有效克服ISI的方式是均衡技术。本文根据FMT的特点提出不同的均衡方案，并通过仿真实验比较它们的性能，提出不同环境，不同要求下的不同的均衡方案，同时研究了基于辅助数据均衡(DAE)技术，创新提出了结合因子图的DAE二次判决算法，将其应用于FMT中，取得了良好的均
Multicarrier modulation technique has recently evoked considerable interests and widespread applications for its attractive qualities in resisting multi-path effects and mitigating ISI. Taken as an example, the OFDM technique has been adopted for some formed standards and even regarded as a candidate for the coming 4G-wideband mobile communication systems. However, OFDM has some intrinsic shortcomings: its orthogonality is susceptible to be destroyed in practical transmission, thus considerable overheads (CP and virtual carriers), strict synchronization and etc. are needed. In order to avoid these disadvantages of OFDM, a new multicarrier modulation technique, named Filtered Multitone Modulation (FMT) is studied for its applications in wireless communication in this thesis, with some related aspects being investigated intensively.
FMT is also a multicarrier modulation technique based on filter bank technology. The main character of this technique is the high-spectral constraint of each subcarrier which results in its non-sensitivity to frequency offset where OFDM enduring. However, FMT has inter-symbol interferences (ISI) which are caused by the non-ideal subchannel filters. ISI has to be eliminated by per-subchannel equalizers.
Firstly, we introduced the basic concept and efficient realization of FMT system in this dissertation. FMT belongs to filter bank technology. Thus we give description of FMT system based on multirate signal processing and filter banks. Efficient realizations of both critically sampling system and non-critically sampling system are deduced.
Secondly, we analyze how to design the filter bank or equavently the prototype filter. For FMT system, one of the most important coefficients is the prototype filter. Its performance affects the performance of the overall system directly. Thus, we first give the design requirements of the prototype filter. Then, we give some examples which could satisfy these requirements. Finally, we deliver a scheme on optimizing the prototype filter. Simulation results show that optimum prototype filter could achieve better error probability performance and achievable bit rates.
Third, we consider how to design the subcarrier equalizers. FMT system should add subcarrier equalizers at the output of the receiver to compensate ISI introduced by
引文
[1] Giovanni Cherubini, Evangleos Eleftheriou, Sedat Olcer. Filtered multitone modulation for very high-speed digital subscriber lines. IEEE Journal on Selected Areas in Communications, 2002, 20(5): 1016 -1028.
[2] P Vaidyanathan. Multirate System and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
[3] J. M. Cioffi., Advanced Digital Communication http://www.stanford.edu/class/ee379c/
[4] J.G.Proakis, Digital Communications (Fourth Edition), 电子工业出版社，北京，2001．8
[5] FMT, a compromise solution[S]. ITU-Telecommunication Standardization Sector(Study Group 15), G.vdsl
[6] 胡广书著，数字信号处理——理论、算法与实现，清华大学出版社，2001
[7] A．V．奥本海默 著，刘树棠译，离散时间信号处理，——
[8] [美]维纳．K．恩格尔，约翰．G．普罗克斯著，刘树棠译，数字信号处理——使用MATLAB，西安交通大学出版社，2002
[9] Oppenheim A V, Schafer R., Discrete-Time Signal Processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1989
[10] Rabiner L.R. and Gold B., Theory and Applications of Digital Signal Processing. Englewood Cliffs NJ: Prentice-Hall, 1975
[11] Adams, J.W., FIR digital filters with least-squares stopbnads subject to peak-gain constrains. IEEE Transacitons on Circuits and Systems, VOL 39, NO 4, April, 1991
[12] R．E．克劳切，L．R．拉宾纳，多抽样率数字信号处理，人民邮电出版社，1988年2月pp358—389
[13] 张贤达，现代信号处理，清华大学出版社，1999年7月，pp445—449
[14] Antonio A, Silvano P, Andrea M. T, Analysis of the effects of phase noise in filtered multitone (FMT) modulated systems, IEEE Communications Society, Globecom 2004
[15] R D Wesel and J M Cioffi, Achievable Rates for Tomlinson-Harashima Precoding[J], IEEE Trans On Inform Theory, 1998 2,44(2):824-831
[16] 佟学俭，正交频分复用(OFDM)通信系统内若干关键技术的研究[M]．：北京邮电大学博士学位论文，2001
[17] Yin Changchuan and Yue Guangxin, Performance of the MMSE Time Domain Equalizer in DMT Modulation System[M], :ICCT 98 S13-06 Oct. 22-24 Beijing China, 1998
[18] N. Benvernuto and S Tomasin, Receiver Architectures for FMT Broadband Wireless Systems[J], IEEE 53th VTC Spring Greece, 2001 5,1 pp:643-647
[19] J.M. Cioffi and etc., MMSE Decision-Feedback Equalizers and Coding—Part Ⅰ: Equalization Results", IEEE Trans. On Commun., vol. 43, no. 10, pp.2582-2594, Oct. 1995
[20] N. Al-Dhahir and J. M. Cioffi, "MMSE Decision-Feedback Equalizers: Finite-Length Results", IEEE Trans. On Commun., vol. 41, no. 4, pp.961-971, July 1995
[21] J. M. Cioffi and etc., "Combined Equalization and Coding with Finite-Length Decision Feedback Equalization", --
[22] N. Al-Dhahir and J. M. Cioffi, "Optimum Finite-Length Equalization for Multicarrier Transceivers", IEEE Trans. On Commun., vol.44, no. 1, pp.56-64, Jan. 1996
[23] R. A. Casas and etc., On MMSE Fractionally-Spaced Equalization Design, --
[24] Yin Changchuan and Yue Guangxin, Performance of the MMSE Time Domain Equalizer in DMT Modulation System, ICCT'98, S13-06, Oct.22-24, Beijing, China, 1998
[25] 郭梯云，杨家君，李建东，数字移动通信，人民邮电出版社，1996
[26] 吴伟陵，移动通信中的关键技术，北京邮电大学出版社，2000
[27] Theodore S. Rappaport, Wireless Communications: Principles and Practice (影印版)，电子工业出版社，2001
[28] 朱小刚等，最小均方误差判决和自适应判决反馈均衡器的设计实现，上海交通大学学报，vol．35，no．6，pp．897-901，2003
[29] H. Miyakawa and H Harashima, Information Transmission Rate in Matched Transmission Systems with Peak Transmitting Power Llimitation[J], Nat Conf Rec Inst Electron Inform Commun Eng Of Janpan, pp 1269-1268,Aug. 1969
[30] G. D Forney, Jr and MV Eyuboglu, Combined Equalization and Coding Using Precoding[M], IEEE Commun Mag, 1991 12:25-34
[31] R. D Wesel and J M Cioffi, Precoding and the MMSE-DFE[M], Proc Of the 28th Asilomar Conf On Sign Sys And Comp Monterey (CA), pp1144-1148, Nov 1994
[32] R. D Wesel and J M Cioffi, Achievable Rates for Tomlinson-Harashima Precoding[J]. IEEE Trans On Inform Theory, pp824-831, 1998 2,44(2)
[33] R. F. Fischer and J B Huber, Comparison of Pre-Coding Schemes for Digital Subscribers Lines[J], IEEE Trans On Commun, pp334-343, Mar. 1997, 45(3)
[34] --"Special Issue on Synchronization" IEEE Trans. On Comm.
[35] H.Meyr and G. Ascheid, Synchronization in Digital Communications, vol. 1. Wiley Series in Telecommunications, 1990
[36] W. Lindsey and C.chie, A Survey of Digital Phase-Locked Loops, Proceedings of the IEEE, pp.410-431, Apr,81.
[37] F.Gardner, Interpolation in Digital Modems Part Ⅰ: Fundamentals. IEEE Transactions on Communications, VOL. 41, No. 3, pp501-507, March 1993
[38] Viterbi, A.J., Principles of Coherent Communication, McGraw-Hill, 1966, New York.
[39] K. Cartwright, Fourth power phase estimation with alternative two-dimensional odd-bit constellations, IEEE Communication Letters, pp. 199-201, Jun 2000.
[40] Classen, H. Meyr, and P. Sehier, Maximum likelihood open loop carrier synchronizer for digital radio, Proceedings of ICC, 1993
[41] Daffara, and J. Lamour, Comparison between digital phase recovery techniques in the presence of a frequency shift, Proceedings of ICC, pp.493-497, Feb 1994.
[42] Stuart C. White, Norman C. Beaulieu, On the Application of the Cramer-Rao and Detection Theory Bounds to Mean Square Error of Symbol Timing Recovery, IEEE Transactions on Communications, VOL 40, No. 10, October 1992
[43] 啜刚，王文博，常永宇和李宗豪，移动通信原理与系统，北京邮电大学出版社，2005
[44] M.R. Wibur, T.N. Davidson, and J.Pl Reily, "Efficient design of oversampled NRP GDFT filter Banks," IEEE Trans, Signal Processing, Vol 52, pp1947-1963, July 2004.
[45]T.N.T. Goodman, C.A. Micchelli, G. Rodriguez, and S.Seatzu, Spectral factorization of Laurent polynomials, Adv. Comput. Math, Vol. 7, no. 4, pp. 429-454,1997.
[46] T M Schmidl, D C Cox. Robust frequency and timing synchronization for OFDM. Communications, IEEE Transactions on, 1997, 45(12): 1613-1621.
[47] H Minn, M Zeng, V K Bhargava, On timing offset estimation for OFDM systems. IEEE Communications Letters, 2000,4(7): 242-244.
[48] T Keller, L Hanzo, Orthogonal frequency division multiplex synchronisation techniques for wireless local area networks. Personal, Indoor and Mobile Radio Communications, PIMRC'96. Seventh IEEE International Symposium on, 1996, 3: 963-967.
[49] Van de Beek, J J, Sandell, M, Borjesson, P, O, ML estimation of time and frequency offset in OFDM systems. IEEE Transactions on Signal Processing, 1997,45(7): 1800-1805.
[50]Tureli U, Liu H, Zoltowski MD, OFDM blind carrier offset estimation: ESPRIT. IEEE Transactions on Communications, 2000,VOL 48, September:ppl459—1461.
[51]Blocskei H, Blind estimation of symbol timing and carrier frequency offset in wireless OFDM systems. IEEE Transactions on Communications, 2001,VOL49, June pp988-999.
[52] Gini F. and Giannakis B. G., Frequency Offset and Symbol Timing Recovery in Flat-Fading Channels: A Cyclostationary Appoach. IEEE Transactions on Communications, 1998, VOL.46, NO.3, March, pp400-411
[53] B. Lall, S. D. Joshi, and R. K. P. Bhatt, Second-order statistical characterization of the filterbank and its elements, IEEE Trans. Signal Process., VOL. 47, no. 6, pp. 1745-1749, Jun. 1999
[54] J. Wang, T. Chen, B. Huang, On Spectral Theory of Cyclostationary Signals in Multirate Systems, IEEE Trans. Signal Process, VOL 53, No. 7, July 2005
[55] Y H Kim, I Song, S Yoon, S R Park, An Efficient Frequency Offset Estimator for OFDM Systems and Its Performance Characteristics, IEEE Trans, Vehicular Tech, 2001, 50(5): 1307-1312.
[56]K Bang, et al, A Coarse, Frequency Offset Estimation in an OFDM System Using the Concept of the Coherence Bandwidth. IEEE Trans. Commun, 2001,49(8): 1320-1324.
[57]D Han, J Seo, J.Kim, Fast Carrier Frequency Offset Compensation in OFDM Systems. IEEE Transactions on Consumer Electronics, 2001,47(3):364～369
[58] J. Aris, Comparative RF indoor channel soundings at 2.5-17GHz, Wireless Personal Communications, vol.3 No.4 pp.353-363,1996
[59]P.S. Chow, J.M. Cioffi, and J.A.C. Bingham, A Practical Discrete Multitone Transceiver Loading algorithm for Data Transmission over spectrally shapped channels, IEEE Trans. On Comm., Vol. 43, No.2, Appril 1995, pp773-775
[60] E.Costa, A. Fillippi, etc, Asynchronous Uplink Transmission in FMT-FDMT System, Proceeding of IEEE ISPIMRC14. 2003
[61] Andrea M. Tonello and Francesco Pecile, Synchronization Algorithms for Multiuser Filtered Multitone (FMT) Systems, IEEE 2005
[62] Andrea M. Tenello, Performance Limits for Filtered Multitone Modulation in Fading Channels, IEEE Trans. On Wireless Comm., Vol. 4, No.5, Sept. 2005,pp2121-2135
[63] G. Cherubini, E.Eleftherou, S. Olcer and J.Cioffi, Filter bank modulation techniques for very high-speed digital subscriber lines, IEEE Comm. Mag., VOL. 38, pp. 98-104, May 2000
[64]G. Cherubini, E. Eleftheriou, S. Olcer J.Cioffi and M. Sorbara, Training of FMT transceivers, Committee T1, Study Group TIE1.t, Contribution T1E1. 4/2000-072, Feb.21,2000
[65] G. Cherubini, E.Eleftherou, S. Olcer and J.Cioffi, Frequency-division duplexing for VDSL, ITU-T, Study Group 15/4, Contribution NT-101,Nov. 1-5,1999
[66]Borna, B.; Davidson, T.N., Efficient filter bank design for filtered multitone modulation, IEEE, Proceeding of ICC04, Volume 1, 20-24 June 2004 Page(s):38-42 Vol.1
[67]G. David Foney, Trellis Shaping, IEEE Tran. On Info. Vol. 38, No. 2, March 1992, pp281-300
[68] G. Cherubini, E. Eleftheriou, and S. Olcer, Filtered Multitone modulation for VDSL, in Proc. IEEE Globecom'99, Rio de Janeiro, Brazil, Dec 1999,pp.1139-1144
[69]Proakis. J.G. , Adaptive Nonlinear Filtering Techniques for Data Transmission, IEEE Symp. on Adaptive Processes, Decision and Control,pp.XV.2.1-5,1970
[70]A.Gersho and T.L.Lim, Adaptive Cancellation of Intersymbol Interference for Data Transmission, Bell Syst. Tehc. J,, vol 52, pp. 219-238, February 1973.
[71]M.S. Mueller and J. Salz, A Unified Theory of Data-aided Equalization, Bell Syst. Tech, J,. vol. 6, pp.2023-2038, Nov. 1981.
[72]Z.-N, Wu, J.M. Cioffi, Low-Complexity Iterative Decoding with Decision-Aided Equalization for Magnetic Recording Channels, IEEE J. Select. Areas Commun., vol 19,no.4, pp699-708,. April. 2001.
[73]Cherubini G., Eleftherious E., Olcer S., Filtered multitone modulation for VDSL, Proc IEEE Globecom'99, 1999, pp1139-1144.
[74] Ignacio B., Filtered Multitone Modulation for Broadband Fixed Wireless System. Master dissertation of Cambridge. 2002, Aug.
[75]J. Aris, Compartive RF Indoor channel soundings at 2.5 and 17GHz, Wireless Personal Communicatons, VOL. 3, No. 4, pp. 353-363, 1996.
[76] R. Van Nee, R. Prasad, OFDM for Wireless Multimedia Communications,Artech House Publishers, 2000.
[77]Borna, B.; Davidson, T.N, Efficient design of FMT systems, IEEE Tran. On Commu Vol. 54, No. 5, May 2006, pp794-791
[78] Andrea M. Tonello and Fabio Rossi, Synchronization and Channel Estimation for Filtered Multitone Modulation, Proceedings WPMC04, Sept. 2004
[79] Ali N. Akansu, Pierre Duhamel, Xueming Lin, and Marc de Courville,Orthogonal Transmultiplexers in Communication: A Review, IEEE Tran. On Signal Processing, Vol. 46, No. 4, pp979-995, April 1998
[80] M.Vetterli, Perfect transmultiplexers, in Proc. IEEE ICASSP pp2567-2570 April 1986
[81]M.G. Bellanger and J. L. daguet, TDM-FDM transmultiplexer: Digital polyphase and FFT, IEEE Trans. Commun. Vol. COMM-22, pp1199-1205,Sept. 1974
[82] A. N. Akansu and M. J. Medley, Eds., Wavelet, Subband, and Block Transforms in Communication and Multimedia. Boston, MA: Kluwer 1998
[83] J. Princen and A. Bradley, Analysis/synthesis filter bank design based on time domain aliasing cancellation, IEEE Trans, Acoust., Speech, Signal Processing, Vol ASSP-34, ppl 153-1161, Oct. 1986
[84] A. N. Akansu, M. V. Tazebay, M. J. Medley, and P.K. Das, Wavelet and subband transforms: Fundamentals and communication applications, IEEE Commun. Mag., pp 104-115, Dec. 1997
[85] P.N. Heller, T. Karp, and T. Q. Nguyen, A general formulation of modulated firterbanks, IEEE Trans. Signal Processing, Vol.47, pp.986-1002, Apr. 1999
[86] Z. Cvetkovic, On discrete short-time Fourier analysis, IEEE Trans. Signal Processing, Vol.48, pp. 2628-2640, Sept. 2000
[87] T. N. T. Goodman, C. A. Micchelli, G. Rodriguez, and S. Seatzu, Spectra factorization of Laurent polynomials, Adv. Comput. Math., Vol. 7, No. 4, pp.429-454, Jan. 1993.
[88] R. D. Koilpillai and P. P. Vaidyanathan, A spectral dactorization approach to pseudo-QMF design, IEEE Trans. Signal Processing, Vol. 41, pp. 82-92, Jan, 1993
[89] Gardner W. A., Exploitation of Spectral Redundancy in Syslostationary Signals, IEEE SP. Magzine, Vol 8, Issue 2, pp.14-36, Apr. 1991
[90] 李晨，在FMT系统中降低码间干扰(ISI)的方法与技术研究，山东大学硕士论文，2005
[91] 孙巧云，FMT系统中自适应均衡技术的研究，山东大学硕士论文，2006
[92] H.Ochiai, H. Imai, On the distribution of the peak-to-average power ration in OFDM signals, IEEE Trans. Commu., VOl.49, No. 2, pp282-289, Feb. 2001
[93] S.Shepherd, J. Orriss, S. Barton, Asymptotic limits in peak envelope power reduction by redundant coding in orthogonal frequency-division multiplex modulation, IEEE Trans. Commun., Vol. 46, pp5-10, Jan. 1998
[2] P Vaidyanathan. Multirate System and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
[3] J. M. Cioffi., Advanced Digital Communication http://www.stanford.edu/class/ee379c/
[4] J.G.Proakis, Digital Communications (Fourth Edition), 电子工业出版社，北京，2001．8
[5] FMT, a compromise solution[S]. ITU-Telecommunication Standardization Sector(Study Group 15), G.vdsl
[6] 胡广书著，数字信号处理——理论、算法与实现，清华大学出版社，2001
[7] A．V．奥本海默 著，刘树棠译，离散时间信号处理，——
[8] [美]维纳．K．恩格尔，约翰．G．普罗克斯著，刘树棠译，数字信号处理——使用MATLAB，西安交通大学出版社，2002
[9] Oppenheim A V, Schafer R., Discrete-Time Signal Processing[M]. Englewood Cliffs, NJ: Prentice-Hall, 1989
[10] Rabiner L.R. and Gold B., Theory and Applications of Digital Signal Processing. Englewood Cliffs NJ: Prentice-Hall, 1975
[11] Adams, J.W., FIR digital filters with least-squares stopbnads subject to peak-gain constrains. IEEE Transacitons on Circuits and Systems, VOL 39, NO 4, April, 1991
[12] R．E．克劳切，L．R．拉宾纳，多抽样率数字信号处理，人民邮电出版社，1988年2月pp358—389
[13] 张贤达，现代信号处理，清华大学出版社，1999年7月，pp445—449
[14] Antonio A, Silvano P, Andrea M. T, Analysis of the effects of phase noise in filtered multitone (FMT) modulated systems, IEEE Communications Society, Globecom 2004
[15] R D Wesel and J M Cioffi, Achievable Rates for Tomlinson-Harashima Precoding[J], IEEE Trans On Inform Theory, 1998 2,44(2):824-831
[16] 佟学俭，正交频分复用(OFDM)通信系统内若干关键技术的研究[M]．：北京邮电大学博士学位论文，2001
[17] Yin Changchuan and Yue Guangxin, Performance of the MMSE Time Domain Equalizer in DMT Modulation System[M], :ICCT 98 S13-06 Oct. 22-24 Beijing China, 1998
[18] N. Benvernuto and S Tomasin, Receiver Architectures for FMT Broadband Wireless Systems[J], IEEE 53th VTC Spring Greece, 2001 5,1 pp:643-647
[19] J.M. Cioffi and etc., MMSE Decision-Feedback Equalizers and Coding—Part Ⅰ: Equalization Results", IEEE Trans. On Commun., vol. 43, no. 10, pp.2582-2594, Oct. 1995
[20] N. Al-Dhahir and J. M. Cioffi, "MMSE Decision-Feedback Equalizers: Finite-Length Results", IEEE Trans. On Commun., vol. 41, no. 4, pp.961-971, July 1995
[21] J. M. Cioffi and etc., "Combined Equalization and Coding with Finite-Length Decision Feedback Equalization", --
[22] N. Al-Dhahir and J. M. Cioffi, "Optimum Finite-Length Equalization for Multicarrier Transceivers", IEEE Trans. On Commun., vol.44, no. 1, pp.56-64, Jan. 1996
[23] R. A. Casas and etc., On MMSE Fractionally-Spaced Equalization Design, --
[24] Yin Changchuan and Yue Guangxin, Performance of the MMSE Time Domain Equalizer in DMT Modulation System, ICCT'98, S13-06, Oct.22-24, Beijing, China, 1998
[25] 郭梯云，杨家君，李建东，数字移动通信，人民邮电出版社，1996
[26] 吴伟陵，移动通信中的关键技术，北京邮电大学出版社，2000
[27] Theodore S. Rappaport, Wireless Communications: Principles and Practice (影印版)，电子工业出版社，2001
[28] 朱小刚等，最小均方误差判决和自适应判决反馈均衡器的设计实现，上海交通大学学报，vol．35，no．6，pp．897-901，2003
[29] H. Miyakawa and H Harashima, Information Transmission Rate in Matched Transmission Systems with Peak Transmitting Power Llimitation[J], Nat Conf Rec Inst Electron Inform Commun Eng Of Janpan, pp 1269-1268,Aug. 1969
[30] G. D Forney, Jr and MV Eyuboglu, Combined Equalization and Coding Using Precoding[M], IEEE Commun Mag, 1991 12:25-34
[31] R. D Wesel and J M Cioffi, Precoding and the MMSE-DFE[M], Proc Of the 28th Asilomar Conf On Sign Sys And Comp Monterey (CA), pp1144-1148, Nov 1994
[32] R. D Wesel and J M Cioffi, Achievable Rates for Tomlinson-Harashima Precoding[J]. IEEE Trans On Inform Theory, pp824-831, 1998 2,44(2)
[33] R. F. Fischer and J B Huber, Comparison of Pre-Coding Schemes for Digital Subscribers Lines[J], IEEE Trans On Commun, pp334-343, Mar. 1997, 45(3)
[34] --"Special Issue on Synchronization" IEEE Trans. On Comm.
[35] H.Meyr and G. Ascheid, Synchronization in Digital Communications, vol. 1. Wiley Series in Telecommunications, 1990
[36] W. Lindsey and C.chie, A Survey of Digital Phase-Locked Loops, Proceedings of the IEEE, pp.410-431, Apr,81.
[37] F.Gardner, Interpolation in Digital Modems Part Ⅰ: Fundamentals. IEEE Transactions on Communications, VOL. 41, No. 3, pp501-507, March 1993
[38] Viterbi, A.J., Principles of Coherent Communication, McGraw-Hill, 1966, New York.
[39] K. Cartwright, Fourth power phase estimation with alternative two-dimensional odd-bit constellations, IEEE Communication Letters, pp. 199-201, Jun 2000.
[40] Classen, H. Meyr, and P. Sehier, Maximum likelihood open loop carrier synchronizer for digital radio, Proceedings of ICC, 1993
[41] Daffara, and J. Lamour, Comparison between digital phase recovery techniques in the presence of a frequency shift, Proceedings of ICC, pp.493-497, Feb 1994.
[42] Stuart C. White, Norman C. Beaulieu, On the Application of the Cramer-Rao and Detection Theory Bounds to Mean Square Error of Symbol Timing Recovery, IEEE Transactions on Communications, VOL 40, No. 10, October 1992
[43] 啜刚，王文博，常永宇和李宗豪，移动通信原理与系统，北京邮电大学出版社，2005
[44] M.R. Wibur, T.N. Davidson, and J.Pl Reily, "Efficient design of oversampled NRP GDFT filter Banks," IEEE Trans, Signal Processing, Vol 52, pp1947-1963, July 2004.
[45]T.N.T. Goodman, C.A. Micchelli, G. Rodriguez, and S.Seatzu, Spectral factorization of Laurent polynomials, Adv. Comput. Math, Vol. 7, no. 4, pp. 429-454,1997.
[46] T M Schmidl, D C Cox. Robust frequency and timing synchronization for OFDM. Communications, IEEE Transactions on, 1997, 45(12): 1613-1621.
[47] H Minn, M Zeng, V K Bhargava, On timing offset estimation for OFDM systems. IEEE Communications Letters, 2000,4(7): 242-244.
[48] T Keller, L Hanzo, Orthogonal frequency division multiplex synchronisation techniques for wireless local area networks. Personal, Indoor and Mobile Radio Communications, PIMRC'96. Seventh IEEE International Symposium on, 1996, 3: 963-967.
[49] Van de Beek, J J, Sandell, M, Borjesson, P, O, ML estimation of time and frequency offset in OFDM systems. IEEE Transactions on Signal Processing, 1997,45(7): 1800-1805.
[50]Tureli U, Liu H, Zoltowski MD, OFDM blind carrier offset estimation: ESPRIT. IEEE Transactions on Communications, 2000,VOL 48, September:ppl459—1461.
[51]Blocskei H, Blind estimation of symbol timing and carrier frequency offset in wireless OFDM systems. IEEE Transactions on Communications, 2001,VOL49, June pp988-999.
[52] Gini F. and Giannakis B. G., Frequency Offset and Symbol Timing Recovery in Flat-Fading Channels: A Cyclostationary Appoach. IEEE Transactions on Communications, 1998, VOL.46, NO.3, March, pp400-411
[53] B. Lall, S. D. Joshi, and R. K. P. Bhatt, Second-order statistical characterization of the filterbank and its elements, IEEE Trans. Signal Process., VOL. 47, no. 6, pp. 1745-1749, Jun. 1999
[54] J. Wang, T. Chen, B. Huang, On Spectral Theory of Cyclostationary Signals in Multirate Systems, IEEE Trans. Signal Process, VOL 53, No. 7, July 2005
[55] Y H Kim, I Song, S Yoon, S R Park, An Efficient Frequency Offset Estimator for OFDM Systems and Its Performance Characteristics, IEEE Trans, Vehicular Tech, 2001, 50(5): 1307-1312.
[56]K Bang, et al, A Coarse, Frequency Offset Estimation in an OFDM System Using the Concept of the Coherence Bandwidth. IEEE Trans. Commun, 2001,49(8): 1320-1324.
[57]D Han, J Seo, J.Kim, Fast Carrier Frequency Offset Compensation in OFDM Systems. IEEE Transactions on Consumer Electronics, 2001,47(3):364～369
[58] J. Aris, Comparative RF indoor channel soundings at 2.5-17GHz, Wireless Personal Communications, vol.3 No.4 pp.353-363,1996
[59]P.S. Chow, J.M. Cioffi, and J.A.C. Bingham, A Practical Discrete Multitone Transceiver Loading algorithm for Data Transmission over spectrally shapped channels, IEEE Trans. On Comm., Vol. 43, No.2, Appril 1995, pp773-775
[60] E.Costa, A. Fillippi, etc, Asynchronous Uplink Transmission in FMT-FDMT System, Proceeding of IEEE ISPIMRC14. 2003
[61] Andrea M. Tonello and Francesco Pecile, Synchronization Algorithms for Multiuser Filtered Multitone (FMT) Systems, IEEE 2005
[62] Andrea M. Tenello, Performance Limits for Filtered Multitone Modulation in Fading Channels, IEEE Trans. On Wireless Comm., Vol. 4, No.5, Sept. 2005,pp2121-2135
[63] G. Cherubini, E.Eleftherou, S. Olcer and J.Cioffi, Filter bank modulation techniques for very high-speed digital subscriber lines, IEEE Comm. Mag., VOL. 38, pp. 98-104, May 2000
[64]G. Cherubini, E. Eleftheriou, S. Olcer J.Cioffi and M. Sorbara, Training of FMT transceivers, Committee T1, Study Group TIE1.t, Contribution T1E1. 4/2000-072, Feb.21,2000
[65] G. Cherubini, E.Eleftherou, S. Olcer and J.Cioffi, Frequency-division duplexing for VDSL, ITU-T, Study Group 15/4, Contribution NT-101,Nov. 1-5,1999
[66]Borna, B.; Davidson, T.N., Efficient filter bank design for filtered multitone modulation, IEEE, Proceeding of ICC04, Volume 1, 20-24 June 2004 Page(s):38-42 Vol.1
[67]G. David Foney, Trellis Shaping, IEEE Tran. On Info. Vol. 38, No. 2, March 1992, pp281-300
[68] G. Cherubini, E. Eleftheriou, and S. Olcer, Filtered Multitone modulation for VDSL, in Proc. IEEE Globecom'99, Rio de Janeiro, Brazil, Dec 1999,pp.1139-1144
[69]Proakis. J.G. , Adaptive Nonlinear Filtering Techniques for Data Transmission, IEEE Symp. on Adaptive Processes, Decision and Control,pp.XV.2.1-5,1970
[70]A.Gersho and T.L.Lim, Adaptive Cancellation of Intersymbol Interference for Data Transmission, Bell Syst. Tehc. J,, vol 52, pp. 219-238, February 1973.
[71]M.S. Mueller and J. Salz, A Unified Theory of Data-aided Equalization, Bell Syst. Tech, J,. vol. 6, pp.2023-2038, Nov. 1981.
[72]Z.-N, Wu, J.M. Cioffi, Low-Complexity Iterative Decoding with Decision-Aided Equalization for Magnetic Recording Channels, IEEE J. Select. Areas Commun., vol 19,no.4, pp699-708,. April. 2001.
[73]Cherubini G., Eleftherious E., Olcer S., Filtered multitone modulation for VDSL, Proc IEEE Globecom'99, 1999, pp1139-1144.
[74] Ignacio B., Filtered Multitone Modulation for Broadband Fixed Wireless System. Master dissertation of Cambridge. 2002, Aug.
[75]J. Aris, Compartive RF Indoor channel soundings at 2.5 and 17GHz, Wireless Personal Communicatons, VOL. 3, No. 4, pp. 353-363, 1996.
[76] R. Van Nee, R. Prasad, OFDM for Wireless Multimedia Communications,Artech House Publishers, 2000.
[77]Borna, B.; Davidson, T.N, Efficient design of FMT systems, IEEE Tran. On Commu Vol. 54, No. 5, May 2006, pp794-791
[78] Andrea M. Tonello and Fabio Rossi, Synchronization and Channel Estimation for Filtered Multitone Modulation, Proceedings WPMC04, Sept. 2004
[79] Ali N. Akansu, Pierre Duhamel, Xueming Lin, and Marc de Courville,Orthogonal Transmultiplexers in Communication: A Review, IEEE Tran. On Signal Processing, Vol. 46, No. 4, pp979-995, April 1998
[80] M.Vetterli, Perfect transmultiplexers, in Proc. IEEE ICASSP pp2567-2570 April 1986
[81]M.G. Bellanger and J. L. daguet, TDM-FDM transmultiplexer: Digital polyphase and FFT, IEEE Trans. Commun. Vol. COMM-22, pp1199-1205,Sept. 1974
[82] A. N. Akansu and M. J. Medley, Eds., Wavelet, Subband, and Block Transforms in Communication and Multimedia. Boston, MA: Kluwer 1998
[83] J. Princen and A. Bradley, Analysis/synthesis filter bank design based on time domain aliasing cancellation, IEEE Trans, Acoust., Speech, Signal Processing, Vol ASSP-34, ppl 153-1161, Oct. 1986
[84] A. N. Akansu, M. V. Tazebay, M. J. Medley, and P.K. Das, Wavelet and subband transforms: Fundamentals and communication applications, IEEE Commun. Mag., pp 104-115, Dec. 1997
[85] P.N. Heller, T. Karp, and T. Q. Nguyen, A general formulation of modulated firterbanks, IEEE Trans. Signal Processing, Vol.47, pp.986-1002, Apr. 1999
[86] Z. Cvetkovic, On discrete short-time Fourier analysis, IEEE Trans. Signal Processing, Vol.48, pp. 2628-2640, Sept. 2000
[87] T. N. T. Goodman, C. A. Micchelli, G. Rodriguez, and S. Seatzu, Spectra factorization of Laurent polynomials, Adv. Comput. Math., Vol. 7, No. 4, pp.429-454, Jan. 1993.
[88] R. D. Koilpillai and P. P. Vaidyanathan, A spectral dactorization approach to pseudo-QMF design, IEEE Trans. Signal Processing, Vol. 41, pp. 82-92, Jan, 1993
[89] Gardner W. A., Exploitation of Spectral Redundancy in Syslostationary Signals, IEEE SP. Magzine, Vol 8, Issue 2, pp.14-36, Apr. 1991
[90] 李晨，在FMT系统中降低码间干扰(ISI)的方法与技术研究，山东大学硕士论文，2005
[91] 孙巧云，FMT系统中自适应均衡技术的研究，山东大学硕士论文，2006
[92] H.Ochiai, H. Imai, On the distribution of the peak-to-average power ration in OFDM signals, IEEE Trans. Commu., VOl.49, No. 2, pp282-289, Feb. 2001
[93] S.Shepherd, J. Orriss, S. Barton, Asymptotic limits in peak envelope power reduction by redundant coding in orthogonal frequency-division multiplex modulation, IEEE Trans. Commun., Vol. 46, pp5-10, Jan. 1998