Many issues in signal processing involve the inverses of Toeplitz matrices. One widely used technique is to replace Toeplitz matrices with their associated circulant matrices, based on the well-known fact that Toeplitz matrices... more
Many issues in signal processing involve the inverses of Toeplitz matrices. One widely used technique is to replace Toeplitz matrices with their associated circulant matrices, based on the well-known fact that Toeplitz matrices asymptotically converge to their associated circulant matrices in the weak sense. This often leads to considerable simplification. However, it is well known that such a weak convergence
The turbo detection of turbo coded symbols over correlated Rayleigh flat fading channels generated according to Jakes’ model is considered in this paper. We propose a method to estimate the channel signal-to-noise ratio (SNR) and the... more
The turbo detection of turbo coded symbols over correlated Rayleigh flat fading channels generated according to Jakes’ model is considered in this paper. We propose a method to estimate the channel signal-to-noise ratio (SNR) and the maximum Doppler frequency. These statistics are required by the linear minimum mean squared error (LMMSE) channel estimator. To improve the system con- vergence, we redefine the channel reliability factor by taking into account the channel estimation error statistics. Simulation results for rate 1 = 3 turbo code and two different normalized fading rates show that the use of the new reliability factor greatly improves the performance. The improvement is more substantial when channel statistics are unknown
