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![Fig. 3. Exact PEP [7] and the upper bound of an error event in a...](profile/Chintha-Tellambura/publication/3154075/figure/fig2/AS:670698561347596@1536918406258/Exact-PEP-7-and-the-upper-bound-of-an-error-event-in-a-Rayleigh-fading-with-ideal_Q320.jpg)
![Fig. 6. Simulation, the approximate P b , and the bound [43] of the...](profile/Chintha-Tellambura/publication/3154075/figure/fig5/AS:670698561355796@1536918406296/Simulation-the-approximate-P-b-and-the-bound-43-of-the-eight-state-trellis-code_Q320.jpg)
This paper presents new upper bounds on the pairwise error
probability (PEP) of trellis-coded modulation (TCM) schemes over
nonindependent Rician fading channels. Cases considered are coherent and
pilot-tone-aided detection and differential detection of trellis-coded
multilevel phase-shift keying (TC-MPSK) systems. The average bit-error
probability...
Contexts in source publication
Context 1
... system under consideration, as described in [11] and [12], is shown in Fig. 1. Binary input data is convolution- ally encoded at rate , where is the number of information bits per encoding interval. The encoded bit words are block interleaved and mapped into a sequence of -ary PSK symbols, which constitute a normalized constellation, meaning that for all symbols. The receiver deinterleaves and then applies ...
Context 2
... performance of pilot-tone-aided detection is shown in Figs. 8 and 9. Once again, the approximate is quite accurate for , implying that this amounts to almost ideal interleaving. Fig. 10 shows the case of differential detection. Unfortu- nately, for an exponential covariance model, the quality of the channel estimates degrades rapidly even for small Doppler rates [see (45)]. This causes the bound (39) to be quite weak. ...
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Citations
... Theorem 7: If the channel is exponentially correlated and Σ í µí°ís the channel covariance matrix for an error event of weight í µí±, í µí± (Σ í µí°´)µí°´) ≤ í µí± (Σ í µí±í µí± (í µí±)). The result of Theorem 7 has been utilized as an (unproven) " folk theorem " in some previous work (such as [6] and [20]) ...
New, simple bounds are presented for the probability of error in a binary hypothesis test for communications using diversity signaling in correlated Rayleigh fading. The bounds are developed in the context of pairwise error-event probabilities in decoding an error-correction code. A long-standing conjecture regarding the form of worst-case error events in exponentially correlated Rayleigh fading is also proven. The utility of the results is illustrated by their application to transfer-function bounds on the probability of bit error for a system using a convolutional code. The closed-form transfer-function bounds are shown to be tighter than previously developed transfer-function bounds for communications in exponentially correlated Rayleigh fading.
... In order to address system performance in realistic operating environment, there has recently been growing interest in the performance analysis of coded systems with imperfect CSI and imperfect interleaving. However, earlier analyses did not model the CSI accuracy as a function of the Doppler spread [9], or used simple assumptions, such as noninterleaved codes [10], or discussed the tradeoff from simulation results without providing any analytical analysis [8]. The analysis on the estimation-diversity tradeoff, we believe, was first presented in [7], where the authors derived the optimal memory lengths and the error exponent bounds for joint estimation and decoding, assuming a block-fading channel. ...
In this paper, we derive the Chernoff bound of the pairwise error probability (PEP) and the exact PEP of convolutional codes in a time-varying Rician fading channel. With the assumptions that the channel estimator is a finite impulse response filter and the interleaving depth is finite, we are able to investigate the estimation-diversity tradeoff resulting from the effects of the Doppler spread on the system performance via the channel-estimation accuracy and the channel diversity. In addition, we verify that, in the special case when the pilot signal-to-noise ratio is infinitely large and the channel estimator is well-designed, our analysis leads to the same result as the existing perfect channel-state information analysis. Finally, the analytical results are compared with results from Monte Carlo simulation, and the comparison shows that the analytical results match well with the simulation results
... Perfect interleaving implies N d being infinity. However, in practical cases, fairly small values of N d are sufficient [21]. ...
Selected mapping (SLM) and partial transmit sequence (PTS) are well-known techniques for peak-power reduction in orthogonal frequency-division multiplexing (OFDM). We derive a simplified maximum likelihood (ML) decoder for SLM and PTS that operates without side information. This decoder exploits the fact that the modulation symbols belong to a given constellation and that the multiple signals generated by the PTS or SLM processes are widely different in a Hamming distance sense. Pairwise error probability (PEP) analysis suggests how SLM and PTS vectors should be chosen. The decoder performs well over additive white Gaussian noise (AWGN) channels, fading channels, and amplifier nonlinearities.
... in some previous work (such as [20]). Note that Theorem 5.1 and Theorem 5. ...
