In this paper, design and comparative analysis outline strategy for trans-multiplexer (TMUX) system for communication with different windowing techniques are analyzed. In this scheme four adjustable window techniques viz., Blackman window, Saramaki window, Kaiser Window and ultra-spherical windows with different modulation techniques are used for designing a multi-channel filter bank trans-multiplexer FB-TMUX. A comparative study of performance of these four windowing functions with different modulation techniques such as Cosine, sine, complex and Extended lapped transform (ELT) for the recommended roll-off factor (RF) and stop band attenuation (As) is designed for trans-multiplexer is presented. The objective functions of the design to reduce Inter-symbol-interference (ISI) and specifically inter-channel-interference (ICI).

Multirate, Filter Bank Transmultiplexer, Filter Bank, Extended lapped transform, ultraspherical window

[1]. Harris, F. J. (2004). Multirate signal processing for communication systems. Prentice Hall PTR.
[2]. Sohn, S. W., Lim, Y. B., Yun, J. J., Choi, H., & Bae, H. D. (2012). A filter bank and a self-tuning adaptive filter for the harmonic and interharmonic estimation in power signals. IEEE Transactions on Instrumentation and Measurement, 61(1), 64-73.
[3]. Taskovski, D., & Koleva, L. (2012). Measurement of harmonics in power systems using near perfect reconstruction filter banks. IEEE Transactions on Power Delivery, 27(2), 1025-1026.
[4]. Le, T. K. (2012, July). Automated method for scoring breast tissue microarray spots using quadrature mirror filters and support vector machines. In 2012 15th International Conference on Information Fusion (pp. 1868-1875). IEEE.
[5]. Chandran, S. (2003). Scheme for subband adaptive beamforming array implementation using quadrature mirror filter banks. Electronics Letters, 39(12), 891-892.
[6]. Chan, S. C., Pun, C. K., & Ho, K. L. (2004). New design and realization techniques for a class of perfect reconstruction two-channel FIR filterbanks and wavelets bases. IEEE Transactions on Signal Processing, 52(7), 2135-2141.
[7]. Afonso, V. X., Tompkins, W. J., Nguyen, T. Q., & Luo, S. (1999). ECG beat detection using filter banks. IEEE transactions on biomedical engineering, 46(2), 192-202.
[8]. Chiang, H. T., Phoong, S. M., & Lin, Y. P. (2007). Design of nonuniform filter bank transceivers for frequency selective channels. EURASIP Journal on Applied Signal Processing, 2007(1), 142-142.
[9]. Kumar, A., Pooja, R., & Singh, G. K. (2016). An efficient closed-form design method for nearly perfect reconstruction of non-uniform filter bank. ISA transactions, 61, 167-178.
[10]. Zhao, Y., & Swamy, M. N. S. (2013). The analysis and design of two-dimensional nearly-orthogonal symmetric wavelet filter banks. Multidimensional Systems and Signal Processing, 24(1), 199-218.
[11]. Dolecek, G. J. (2009). Design of wideband CIC compensator filter for a digital IF receiver. Digital Signal Processing, 19(5), 827-837.
[12]. Vaidyanathan, P. P. (1993). Multirate systems and filter banks. Pearson Education India.
[13]. Vishwakarma, A., Kumar, A., & Singh, G. K. (2016). Transmultiplexer filter bank systems: a research overview. International Journal of Signal and Imaging Systems Engineering, 9(3), 146-155.
[14]. Saxena, C., Murarka, P. D., & Gupta, H. K. Noise Reduction in ECG Signals Using Notch Filter.
[15]. Zhou, J., Wang, C., Li, X., & Zhou, X. (2015). Fast approximate hash table using extended counting Bloom filter. IJCSE, 11(4), 380-390.
[16]. Leelavathi, M. V., & SahanaDevi, K. J. (2016). Efficient Deep Learning for Big Data: A Review. IJCSE, 4(3), 30-35.
[17]. Lavania, K. K., & Kumar, R. (2012). Image enhancement using filtering techniques. International Journal on Computer Science and Engineering, 4(1), 14.
[18]. Mian, A. S., Bennamoun, M., & Owens, R. (2009). U.S. Patent Application No. 12/017,643.
[19]. Creusere, C. D., & Mitra, S. K. (1995). A simple method for designing high-quality prototype filters for M-band pseudo QMF banks. IEEE Transactions on Signal Processing, 43(4), 1005-1007.
[20]. kumar Soni, R., Jain, A., & Saxena, R. (2013). A design of IFIR prototype filter for Cosine Modulated Filterbank and Transmultiplexer. AEU-international Journal of Electronics and Communications, 67(2), 130-135.
[21]. Soni, R. K., Jain, A., & Saxena, R. (2010). An improved and simplified design of pseudo-transmultiplexer using Blackman window family. Digital Signal Processing, 20(3), 743-749.
[22]. Martin, P., Cruz-Roldán, F., & Saramaki, S. (2004, May). A new window for the design of cosine-modulated multirate systems. In 2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No. 04CH37512) (Vol. 3, pp. III-529). IEEE.
[23]. Vishwakarma, A., Kumar, A., & Singh, G. K. (2015). A prototype filter design for cosine modulated transmultiplexer using weighted constrained least squares technique. AEU-International Journal of Electronics and Communications, 69(6), 915-922.
[24]. Kumar, A., Singh, G. K., & Kuldeep, B. (2011). An improved and simplified approach for designing cosine modulated filter bank using window technique. Journal of Mathematical Modelling and Algorithms, 10(3), 213-226.
[25]. Kumar, A., & Kuldeep, B. (2012). Design of M-channel cosine modulated filter bank using modified Exponential window. Journal of the Franklin Institute, 349(3), 1304-1315.
[26]. Datar, A., Jain, A., & Sharma, P. C. (2013). Design and performance analysis of adjustable window functions based cosine modulated filter banks. Digital Signal Processing, 23(1), 412-417.
[27]. Kumar, A., Singh, G. K., & Anand, R. S. (2011). A simple design method for the cosine-modulated filter banks using weighted constrained least square technique. Journal of the Franklin Institute, 348(4), 606-621.
[28]. Bergen, S. W., & Antoniou, A. (2007). An efficient closed-form design method for cosine-modulated filter banks using window functions. Signal Processing, 87(5), 811-823.
[29]. Kumar, A., Singh, G. K., & Anand, R. S. (2011). An improved closed form design method for the cosine modulated filter banks using windowing technique. Applied Soft Computing, 11(3), 3209-3217.
[30]. Hameed, K. A., & Elias, E. (2005, December). Extended lapped transforms with linear phase basis functions and perfect reconstruction. In 2005 12th IEEE International Conference on Electronics, Circuits and Systems (pp. 1-4). IEEE.
[31]. Alhava, J., Viholainen, A., & Renfors, M. (2003, May). Efficient implementation of complex exponentially-modulated filter banks. In Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS`03. (Vol. 4, pp. IV-IV). IEEE.
[32]. Cruz-Roldán, F., Amo-López, P., Maldonado-Bascón, S., & Lawson, S. S. (2002). An efficient and simple method for designing prototype filters for cosine-modulated pseudo-QMF banks. IEEE signal processing letters, 9(1), 29-31.