Reduced Complexity Calculation of LMMSE Filter Coefficients for GFDM

A low-complexity algorithm for calculation of LMMSE filter coefficients for Generalized Frequency Division Multiplexing (GFDM) in a fading multipath environment is derived. The simplification is based on the block circularity of the involved matrices. The proposal reduces complexity from cubic to squared order. The proposed approach can be generalized to other waveforms with circular pulse shaping.

[1]  Robert H. Halstead,et al.  Matrix Computations , 2011, Encyclopedia of Parallel Computing.

[2]  Sigang Qiu.  Block-circulant Gabor-matrix structure and discrete Gabor transforms , 1995 .

[3]  Frank Schaich,et al.  5GNOW: non-orthogonal, asynchronous waveforms for future mobile applications , 2014, IEEE Communications Magazine.

[4]  Pierre Siohan,et al.  Multi-carrier modulation analysis and WCP-COQAM proposal , 2014, EURASIP Journal on Advances in Signal Processing.

[5]  Andrea M. Tonello,et al.  Cyclic block filtered multitone modulation , 2014, EURASIP J. Adv. Signal Process..

[6]  Gerhard Fettweis,et al.  Low Complexity GFDM Receiver Based on Sparse Frequency Domain Processing , 2013, 2013 IEEE 77th Vehicular Technology Conference (VTC Spring).

[7]  Gerhard Fettweis,et al.  Generalized Frequency Division Multiplexing for 5th Generation Cellular Networks , 2014, IEEE Transactions on Communications.

[8]  Gerhard Fettweis,et al.  Generalized Frequency Division Multiplexing in a Gabor Transform Setting , 2014, IEEE Communications Letters.