## Power loading for CP-OFDM over frequency-selective fading channels (2003)

Venue: | in Proc. IEEE Global Telecommun. Conf |

Citations: | 8 - 5 self |

### BibTeX

@INPROCEEDINGS{Wang03powerloading,

author = {Neng Wang and Steven D. Blostein},

title = {Power loading for CP-OFDM over frequency-selective fading channels},

booktitle = {in Proc. IEEE Global Telecommun. Conf},

year = {2003},

pages = {2305--2309}

}

### OpenURL

### Abstract

Abstract — In this paper we compare cyclic prefix (CP) based single and multicarrier block transmission schemes in frequencyselective fading channels. Analytical comparison shows that at moderate-to-high signal-to-noise ratio (SNR), the uncoded error rate performance of multicarrier transmission is inferior to that of single carrier. We propose new minimum bit error rate (MBER) power loading algorithms for multicarrier transmission. It is also shown that a simpler approximate MBER (AMBER) power loading method has performance close to that of the optimum MBER scheme. Performance of a variety of methods is compared analytically and verified by simulations. I.

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Citation Context ... transmission with the same processing complexity. To overcome this problem, joint power and bit loading has been widely studied in wire-line applications, where the channel can be regarded as static =-=[4]-=-. Wireless systems, however, are time-varying. For simplicity of implementation, power loading alone may be employed as an alternative to joint power and bit loading. A minimum aggregate bit error rat... |

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Citation Context ... using a cyclic prefix (CP) has been receiving growing interest in recent years as countermeasures of frequency selectivity of wireless channels due to simplified equalization in the frequency domain =-=[1]-=-. The time-domain equalization of conventional single carrier (SC) transmission usually has much higher complexity (especially when the channel delay spread is large). Recently, it has been shown that... |

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Citation Context ...is large). Recently, it has been shown that block SC transmission with similar block structure and frequencydomain equalization to CP-OFDM, has similar equalization complexity and performance as OFDM =-=[2]-=-. It has been shown that OFDM without error-control coding suffers from serious error floors in channels with nulls [3]. In this paper, we present a framework for comparison between CP-based MC and SC... |

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Citation Context ...nd corresponding power loading coefficients at γs =20(dB) (N =64). constrained to be diagonal, in order not to introduce ICI. However, if we allow ICI in power loading, a better precoder can be found =-=[12]-=-. The processing complexity of such joint transmit and receive optimization is higher than the power loading algorithms. We note that the optimal precoder and decoder for MC and SC systems will conver... |

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Citation Context ...r-constrained MBER power loading { min P (h, P) = 1 ∑N−1 N k=0 Q ( √2γs|Hk| 2p2 ) k subject to ∑N−1 k=0 p2 , (21) k = N is a convex programming problem, for which there exists a unique global minimum =-=[9]-=-. The solution {p2 k }N−1 k=0 is unique and satisfies [10] (for k =0, 1, ··· ,N − 1) √ γs|Hk| 2 p 2 k e −γs|Hk| 2 p 2 k = µ, (22) which can be solved numerically. The parameter µ is chosen numerically... |

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Citation Context ...| 2 , γ mc mmse,k = γs|Hk| 2 +1. (7) The above SNR’s of MMSE equalization do not take into account the bias in the decision variable, and the increased biased SNR is an artifact of the SNR definition =-=[7]-=-. Since there is no inter-carrier interference (ICI), it can be shown that the error rate performance can be approximately determined by the unbiased SNR 1 . By scaling (6b) to remove the bias, we cal... |

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Citation Context ...power and bit loading. A minimum aggregate bit error rate (BER) power loading algorithm was proposed in [5], which minimizes the block error rate. In this paper, motivated by MBER linear equalization =-=[6]-=-, we propose a minimum average BER power loading algorithm. We also propose a simpler approximate MBER algorithm with closed-form optimization solution and performance close to the optimum MBER scheme... |

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Citation Context ...ext. B. Approximate MBER (AMBER) Power Loading Instead of solving (21) directly, we approximate the objective function to find a suboptimal solution. An expression for the approximate BER is given by =-=[11]-=- Pb ≈ 1 5 e−gγs , (23) where g is a constellation-specific constant, e.g., for BPSK, gBPSK =1. Accordingly, we formulate the AMBER power loading problem as { min 1 5N subject to ∑N−1 k=0 exp(−γs|Hk| 2... |

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Citation Context ...fficients. The noise variance in (13) is given by σ 2 k = N0[(G sc mmse)(G sc mmse) H ]k,k N−1 = N0 N ∑ l=0 |Hl| 2 (1/γs + |Hl| 2 ) 2 def = σ 2 , (15)which is independent of k. Using Beaulieu series =-=[8]-=-, we calculate M∑ P sc mmse(h) ≈ 1 2 − 2 π × sin m=1 m odd ( mωθ0 σ 1 m e− m2ω 2 2 ) N−1 ∏ k=1 cos ( ) mωθk ,(16) σ where the choice of parameters M and ω is described in [8]. III. POWER LOADING IN CP... |

10 |
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Citation Context ...or simplicity of implementation, power loading alone may be employed as an alternative to joint power and bit loading. A minimum aggregate bit error rate (BER) power loading algorithm was proposed in =-=[5]-=-, which minimizes the block error rate. In this paper, motivated by MBER linear equalization [6], we propose a minimum average BER power loading algorithm. We also propose a simpler approximate MBER a... |

9 | Efficient Signaling Schemes for Wideband Space-Time Wireless Channels Using Channel Side Information,” Submitted to
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Citation Context ...N k=0 Q ( √2γs|Hk| 2p2 ) k subject to ∑N−1 k=0 p2 , (21) k = N is a convex programming problem, for which there exists a unique global minimum [9]. The solution {p2 k }N−1 k=0 is unique and satisfies =-=[10]-=- (for k =0, 1, ··· ,N − 1) √ γs|Hk| 2 p 2 k e −γs|Hk| 2 p 2 k = µ, (22) which can be solved numerically. The parameter µ is chosen numerically according to the total power constraint (17). This algori... |