Iterative Decision Feedback Equalization Research Articles

Low Complexity Iterative Rake Decision Feedback Equalizer for Zero-Padded OTFS Systems

This paper presents a linear complexity iterative rake detector for the recently proposed orthogonal time frequency space (OTFS) modulation scheme. The basic idea is to extract and coherently combine the received multipath components of the transmitted symbols in the delay-Doppler grid using maximal ratio combining (MRC) to improve the SNR of the combined signal. We reformulate the OTFS input-output relation in simple vector form by placing guard null symbols or zero padding (ZP) in the delay-Doppler grid and exploiting the resulting circulant property of the blocks of the channel matrix. Using this vector input-output relation we propose a low complexity iterative decision feedback equalizer (DFE) based on MRC. The performance and complexity of the proposed detector favorably compares with the state of the art message passing detector. An alternative time domain MRC based detector is also proposed for even faster detection. We further propose a Gauss-Seidel based over-relaxation parameter in the rake detector to improve the performance and the convergence speed of the iterative detection. We also show how the MRC detector can be combined with outer error-correcting codes to operate as a turbo DFE scheme to further improve the error performance. All results are compared with a baseline orthogonal frequency division multiplexing (OFDM) scheme employing a single tap minimum mean square error (MMSE) equalizer.

Iterative Equalization with Decision Feedback based on Expectation Propagation

This paper investigates the design and analysis of minimum mean square error (MMSE) turbo decision feedback equalization (DFE), with expectation propagation (EP), for single carrier modulations. Classical non iterative DFE structures have substantial advantages at high data rates, even compared to turbo linear equalizers - interference cancellers (LE-IC), hence making turbo DFE-IC schemes an attractive solution. In this paper, we derive an iterative DFE-IC, capitalizing on the use of soft feedback based on expectation propagation, along with the use of prior information for improved filtering and interference cancellation. This DFE-IC significantly outperforms exact turbo LE-IC, especially at high spectral efficiency, and also exhibits various advantages and performance improvements over existing variants of DFE-IC. The proposed scheme can also be self-iterated, as done in the recent trend on EP-based equalizers, and it is shown to be an attractive alternative to linear self-iterated receivers. For time-varying (TV) filter equalizers, an efficient matrix inversion scheme is also proposed, considerably reducing the computational complexity relative to existing methods. Using finite-length and asymptotic analysis on a severely selective channel, the proposed DFE-IC is shown to achieve higher rates than known alternatives, with better waterfall thresholds and faster convergence, while keeping a similar computational complexity.

Iterative Decision Feedback Equalization for SC-FDE Systems Without Fine Timing Synchronization

This letter deals with frequency domain equalization (FDE) in the presence of residual timing offsets. A novel iterative decision feedback equalizer for single-carrier FDE systems is proposed. Different from conventional schemes based on explicit point time-delay estimates, the proposed scheme operates directly on the oversampled matched filter output. For each iteration, FDE is performed first, and based on which, joint posterior distribution of the channel and timing parameters is obtained. A set of weights obtained from the corresponding posterior distribution, rather than explicit point time-delay estimate, are utilized for the time-delay compensation, eliminating the need of fine timing synchronization. Simulation results show that the proposed scheme enables evident performance improvement in terms of symbol error rate compared with conventional schemes under relative low sampling rate.

Frequency-Domain Iterative SDFE for MIMO-OFDM Systems

This paper proposes a frequency-domain iterative soft decision feedback equalization (SDFE) scheme for multiple-input---multiple-output orthogonal frequency division multiplexing communication systems in multi-path fading channels. Error propagation can seriously affect the performance of the adaptive decision feedback equalization. We propose an iterative SDFE to not only combat error propagation but also be suitable for multilevel modulation systems. Under a Gaussian approximation of the a priori information and the SDFE output, the output of an equivalent AWGN channel and expressions for the a posteriori log likelihood ratio (LLR) and the extrinsic LLR are derived for multilevel modulation. In addition, we also investigate the iterative receivers by employing irregular low-density parity check codes (LDPC) and turbo codes. The performance of the LDPC-coded iterative receiver is better than that of the turbo-coded iterative receiver. Some simulation examples are given to show the effectiveness and comparisons of the proposed receiver.

Efficient Transmitter and Receiver Designs for SC-FDMA Based Heterogeneous Networks

In this manuscript, we consider the uplink of a single carrier frequency division multiple access (SC-FDMA) based system, where a set of small-cells coexist with a macro-cell using the same spectrum. To deal with both the inter-carrier interference (ICI) and inter-system interference, we combine interference alignment (IA) precoding at the small-cell transmitters with iterative decision feedback equalization at the macro-receiver. The transmitter and receiver design is performed jointly by considering both full-coordination and limited inter-system information exchange between macro- and small-cells. At the small cells side, we assume that the access points are connected through a limited capacity backhaul network to a central unit, where the separation of a quantized version of the small-cell signals is performed. For this case, the iterative feedback equalizer is designed by explicitly taking into account the impact of signal quantization. Moreover, a semi-analytical approach for the performance of the proposed schemes is provided. The results show that the proposed schemes are robust to both inter-system and inter-carrier interferences and thus are able to efficiently separate the macro- and small-cells spatial streams under limited information exchange.

Iterative Frequency Domain Equalization for Single-Carrier Space Time Diversity Systems

Single carrier frequency domain equalization (SC-FDE) has been receiving much attention for its advantage of suppressing inter-symbol interference (ISI). We proposed a frequency domain iterative decision feedback equalization (FD-IDFE) algorithm for single carrier space time block coding (STBC) systems. The paper use the multi-antenna transmit and Alamouti signaling scheme to achieve the significant diversity gain. We design the feedback equalization structure by Mean Square Error (MSE) criterion and Lagrange optimization method, and we also consider the parameters estimation. At last, we compare the proposed algorithm with the conventional equalization schemes, the simulation results illustrate that our method has excellent performance.

Iterative Frequency Domain Decision Feedback Equalization and Decoding for Underwater Acoustic Communications

Iterative Frequency Domain Decision Feedback Equalization and Decoding for Underwater Acoustic Communications

Partial PIC-MRC Receiver Design for Single Carrier Block Transmission System over Multipath Fading Channels

Single carrier block transmission (SCBT) system has become one of the most popular modulation systems due to its low peak-to-average power ratio (PAPR), and it is gradually considered to be used for uplink wireless communication systems. In this paper, a low complexity partial parallel interference cancellation (PIC) with maximum ratio combining (MRC) technology is proposed to use for receiver to combat the intersymbol interference (ISI) problem over multipath fading channel. With the aid of MRC scheme, the proposed partial PIC technique can effectively perform the interference cancellation and acquire the benefit of time diversity gain. Finally, the proposed system can be extended to use for multiple antenna systems to provide excellent performance. Simulation results reveal that the proposed low complexity partial PIC-MRC SIMO system can provide robust performance and outperform the conventional PIC and the iterative frequency domain decision feedback equalizer (FD-DFE) systems over multipath fading channel environment.

Low-Complexity Iterative Frequency Domain Decision Feedback Equalization

Single-carrier transmission with frequency-domain equalization (SC-FDE) offers a viable design alternative to the classic orthogonal frequency-division multiplexing (OFDM) technique. However, SC-FDE using a linear equalizer may suffer from serious performance deterioration for transmission over severely frequency-selective fading channels. An effective method of solving this problem is to introduce nonlinear decision feedback equalization (DFE) to SC-FDE. In this paper, a low-complexity iterative DFE operating in the frequency domain of single-carrier systems is proposed. Based on the minimum-mean-square-error (MMSE) criterion, a simplified parameter estimation method is introduced to calculate the coefficients of the feedforward and feedback filters, which significantly reduces the implementation complexity of the equalizer. Simulation results show that the performance of the proposed simplified design is similar to the traditional iterative block DFE under various multipath fading channels, but it imposes a much lower complexity than the latter.

Iterative decision feedback equalizer with cyclic detection for DFT-S OFDM system

One of the most challenging problems in high-data-rate wireless transmission is to reduce inter-symbol interference (ISI) resulted from the time dispersion caused by multi-path propagation. To solve this problem, equalization is introduced. Generally, efficient decision feedback equalizer (DFE) holds better performance than linear equalizer for the cancellation of ISI without noise enhancement. However, its inherent error propagation has some limitation for further improvement. In fact, as shown later in simulation results, conventional frequency domain DFE (FD-DFE) almost cannot be used in Discrete Fourier Transform-Spread Orthogonal Frequency Division Multiplex (DFT-S OFDM) system in Evolved-UMTS (Universal Mobile Telecommunications System) Terrestrial Radio Access (E-UTRA) uplink transmission [3GPP, TR 25.814 V1.2.3. Physical layer aspects for evolved UTRA. May 2006 [release 7]]. Unique word (UW) is proposed in the literatures, as a known symbol sequence, can make error propagation beyond one FFT-block impossible since the last symbols of every block are always decided correctly. But the UW-based scheme is not appropriate for DFT-S OFDM, so it must be modified. This paper proposes a simple DFE-based equalization algorithm for DFT-S OFDM. Through cyclic detection and iteration, the new algorithm obtains a noticeable gain than conventional DFE, and is almost as effective as the modified UW-based methods but with much higher bandwidth efficiency. Furthermore, it does not need to change the frame structure of existing protocol.

Block iterative DFE for single carrier modulation

An iterative block decision feedback equaliser (IB-DFE) for single carrier modulation is proposed. Filtering operations are implemented by discrete Fourier transforms (DFTs) which yield a reduced computational complexity, for both filter design and signal processing, when compared to existing DFEs. Moreover, the new IB-DFE operates on blocks of the receive signal, thus allowing the use of error correction codes on the feedback data signal.

Turbo-equalisation for symbol-spread block transmission system

The authors consider coded block transmission over a memoryless Rayleigh fading channel based on an orthonormal transform. A new block-turbo equaliser is designed and its performance investigated and compared to an improved iterative block decision feedback equaliser.

Equaliser techniques for QAM transmissions over dispersive mobile radio channels

Channel equalisation of 32 Mbit/s data transmissed via 16-level QAM at 1.9 GHz over dispersive fading channels is addressed using computer simulations. The multipath propagation channels used had three independent Rayleigh fading paths. The conventional equaliser systems were found to be unsatisfactory and an alternative system was conceived based on a RAKE-type equaliser controlling an iterative decision feedback equaliser. Although complex, simulations showed this equaliser system to yield an order of magnitude reduction in BER compared to that for a linear equaliser at SNRs in excess of 15 dB. Advantages are presented of using error correction coding in the conventional way and in an iterative manner to aid convergence of the equaliser. Gains of 2 to 3 dB were achieved by iterative decoding but at the expense of considerable increase in complexity. When second order spatial diversity was used we achieved improvements of about 5 to 7 dB when both systems were uncoded despite the inherent diversity that can be gained from equalising a wideband channel. By operating at SNRs greater than 25 dB, we were able to simulate transmission at 32 Mbit/s with a BER below 10−3.