Abstract

It is well known that redundant filter bank precoders can be used for blind identification as well as equalization of FIR channels. Several algorithms have been proposed in the literature exploiting trailing zeros in the transmitter. In this paper we propose a generalized algorithm of which the previous algorithms are special cases. By carefully choosing system parameters, we can jointly optimize the system performance and computational complexity. Both time domain and frequency domain approaches of channel identification algorithms are proposed. Simulation results show that the proposed algorithm outperforms the previous ones when the parameters are optimally chosen, especially in time-varying channel environments. A new concept of generalized signal richness for vector signals is introduced of which several properties are studied.

Highlights

  • Wireless communication systems often suffer from a problem due to multipath fading which makes the channels frequency-selective

  • We propose a generalized algorithm of which the SGB algorithm proposed in [3] and the MNP algorithm in [5] are both special cases

  • In this paper we proposed a generalized algorithm for blind channel identification with linear redundant precoders

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Summary

INTRODUCTION

Wireless communication systems often suffer from a problem due to multipath fading which makes the channels frequency-selective. In the literature many blind methods have been proposed based on the knowledge of second-order statistics (SOS) or higher-order statistics of the transmitted symbols [1, 2] These methods often need to accumulate a large number of received symbols until channel coefficients can be estimated accurately. An algorithm based on viewing the channel identification problem as finding the greatest common divisor (GCD) of two polynomials is proposed in [5] (which we will call the MNP method). Eventhough it greatly reduces the number of received blocks needed for channel identification, the algorithm has much more computational complexity especially when the block size M is large. Some of the results in the paper have been presented at a conference [6]

Notations
Redundant filter bank precoders
Trailing zeros as transmitter guard interval
The GCD approach
Connection to the earlier literature
A GENERALIZED ALGORITHM
Algorithm description
Q-repetition and shifting operation
Special cases of the algorithm
FREQUENCY DOMAIN APPROACH
GENERALIZED SIGNAL RICHNESS
Measure of generalized signal richness
Connection to earlier literature
Remarks on generalized signal richness
SIMULATIONS AND DISCUSSIONS
Simulations of time domain approaches
Simulations of frequency domain approaches
Complexity analysis
Simulations for time-varying channels
Remarks on choosing the optimal parameters
Noise handling for large J
CONCLUDING REMARKS
Full Text
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