Frequency-domain Channel Estimation Research Articles

Time-domain channel estimator for polarization interleaving direct-detection orthogonal frequency-division multiplexing passive optical network

We propose an efficient time-domain channel estimation method for polarization interleaving orthogonal frequency-division multiplexing passive optical network with direct detection. Compared with the frequency-domain least-square channel estimator and intrasymbol frequency-domain averaging, the time-domain channel estimator with overhead reduction demonstrates better system robustness against transmission impairments, such as optical noise, chromatic dispersion, and polarization mode dispersion.

Time and Frequency Domain Channel Estimation in MIMO-OFDM Co-operative Communication

Time and Frequency Domain Channel Estimation in MIMO-OFDM Co-operative Communication

Time-Domain Least Square Channel Estimation for Polarization-Division-Multiplexed CO-OFDM/OQAM Systems

Suppressing the intrinsic imaginary interference (IMI) effect induced by the multiple-path fading channel is the key technology for maintaining the good performance of the orthogonal frequency-division multiplexing offset-quadrature amplitude modulation (OFDM/OQAM) systems. Recently, the first theoretical discussion on the IMI effect and the corresponding frequency-domain channel estimation method for polarization-division-multiplexed (PDM) coherent optical OFDM/OQAM (CO-OFDM/OQAM) system has been studied. The full-loaded and the half-loaded channel estimation methods have been proposed to mitigate the IMI effect. However, for these frequency-domain methods, the condition that the symbol interval is much longer than the maximum channel delay spread has to be satisfied. When the transmission distance is long, the frequency-domain residual errors induced by the chromatic dispersion (CD) and polarization mode dispersion (PMD) reduce the channel estimation accuracy evidently. In this paper, we systematically discuss the time-domain channel transmission model for PDM CO-OFDM/OQAM systems. With the analysis of the distribution of the received additive noise, we propose the time-domain least square (TDLS) channel estimation method for PDM CO-OFDM/OQAM systems. Compared with the frequency-domain methods, the TDLS method promotes the system robustness against both the IMI effect and the additive noise significantly. The computational complexities and the transmission performance have been compared for both the TDLS and the frequency-domain full-loaded methods. The theoretical analysis is validated by numerical Monte Carlo simulations of the PDM CO-OFDM/OQAM system.

Frequency-Domain Channel Estimation for Polarization-Division-Multiplexed CO-OFDM/OQAM Systems

Intrinsic imaginary interference (IMI) induced by a multiple-path fading channel is an important impairment for orthogonal frequency division multiplexing/offset-quadrature amplitude modulation (OFDM/OQAM) systems. Therefore, the accurate channel estimation is highly desired for such a system. Recently both the simulation studies and the experimental demonstrations for coherent optical OFDM/OQAM (CO-OFDM/OQAM) have been reported. However, there are no theoretical discussions on the IMI effect and the channel estimation method for polarization-division-multiplexed (PDM) CO-OFDM/OQAM systems so far. In this paper, we systematically analyze the frequency-domain optical fiber channel transmission model for PDM CO-OFDM/OQAM systems with the IMI effect induced by chromatic dispersion (CD) and polarization mode dispersion (PMD). The full loaded (FL) and the half loaded (HL) frequency-domain channel estimation methods are discussed to mitigate the IMI effect. The computational complexities and robustness against CD and PMD are also compared for both of the FL and the HL methods. The theoretical analysis is validated by numerical Monte Carlo simulations of PDM CO-OFDM/OQAM systems.

A Simplified Time-Domain Channel Estimation Approach for OFDM System

OFDM usually incorporates pilot tones in the frequency domain (FD) or training symbols in the time-domain (TD) to facilitate channel estimation algorithms. TD channel estimation becomes more attractive in quasi-static channels because channel estimation scheme will optimize the spectral efficiency by re-using the training symbols designated for FD channel estimation. A channel estimation method based on time domain averaging algorithm is proposed. Due to the principle of centralized energy in time domain, the effective channel impulse response length can be detected by setting of threshold for the estimated channel impulse response length. Computer simulation demonstrates the performance of the proposed algorithms in terms of bit error rate performance.

Training-Aided Frequency-Domain Channel Estimation and Equalization for Single-Carrier Coherent Optical Transmission Systems

Frequency-domain equalization supported by training-aided 2 × 2 multi-input multi-output channel estimation (CE) is proposed for coherent optical transmission systems. In particular, novel training sequence (TS) schemes based on a constant amplitude zero auto-correlation code, efficient CE algorithms and equalizer-tap updating solutions are derived from the theoretical linear fiber channel model and investigated through simulations. The robustness of the proposed methods is demonstrated with respect to the main degrading optical propagation effects, such as amplified spontaneous emission noise, chromatic dispersion, polarization-mode dispersion, polarization-dependent loss, time misalignment between received and reference TS, frequency offset between transmitter and receiver lasers, as well as dynamic state of polarization rotation.

Frequency domain channel estimation for MIMO SC-FDMA systems with CDM pilots

In this paper, we investigate the frequency domain channel estimation for multiple-input multiple-output (MIMO) single-carrier frequency-division multiple-access (SC-FDMA) systems. In MIMO SC-FDMA, code-division multiplexed (CDM) pilots such as cyclic-shifted Zadoff-Chu sequences have been adopted for channel estimation. However, most frequency domain channel estimation schemes were developed based on frequency-division multiplexing of pilots. We first develop a channel estimation error model by using CDM pilots, and then analyze the mean-square error (MSE) of various minimum MSE (MMSE) frequency domain channel estimation techniques. We show that the cascaded one-dimensional robust MMSE (C1D-RMMSE) technique is complexity-efficient, but it suffers from performance degradation due to the channel correlation mismatch when compared to the two-dimensional MMSE (2D-MMSE) technique. To improve the performance of C1D-RMMSE, we design a robust iterative channel estimation (RITCE) with a frequency replacement (FR) algorithm. After deriving the MSE of iterative channel estimation, we optimize the FR algorithm in terms of the MSE. Then, a low-complexity adaptation method is proposed for practical MIMO SC-FDMA systems, wherein FR is performed according to the reliability of the data estimates. Simulation results show that the proposed RITCE technique effectively improves the performance of C1D-RMMSE, thus providing a better performance-complexity tradeoff than 2D-MMSE.

176Tb/s Nyquist PDM 16QAM signal transmission over 714km SSMF with the modified SCFDE technique

Nyquist pulse shaping is a promising technique for high-speed optical fiber transmission. We experimentally demonstrate the generation and transmission of a 1.76Tb/s, polarization-division-multiplexing (PDM) 16 quadrature amplitude modulation (QAM) Nyquist pulse shaping super-channel over 714km standard single-mode fiber (SSMF) with Erbium-doped fiber amplifier (EDFA) only amplification. The superchannel consists of 40 subcarriers tightly spaced at 6.25GHz with a spectral efficiency of 7.06b/s/Hz. The experiment is successfully enabled with the modified single carrier frequency domain estimation and equalization (SCFDE) scheme by performing training sequence based channel estimation in frequency domain and subsequent channel equalization in time domain. After 714km transmission, the bit-error-rate (BER) of all subcarriers are lower than the forward error correction limit of 3.8 × 10(-3).

A Frequency-Domain LOS Angle-of-Arrival Estimation Approach in Multipath Channels

In this paper, we deal with the line-of-sight angle of arrival (AoA) estimation in a multipath channel, assuming that the first arrival path (FAP) contains the AoA information. We consider pulse transmission with a low duty cycle from the source and reception using an antenna array. We propose a simple approach that comprises the following four steps: 1) coarse frame synchronization; 2) frequency-domain channel estimation; 3) frequency-domain identification of the FAP delay with a threshold-based method; and 4) AoA estimation from the FAP coefficient. We compare the method with the joint angle and delay estimation multiple-signal classification (JADE MUSIC) algorithm. Despite the high complexity of the JADE MUSIC, our approach exhibits smaller root-mean-square error (RMSE) in the AoA estimation for various multipath channel scenarios that are characterized by different values of delay spread and angular spread correlation.

Semiblind Turbo Equalization Scheme for LTE Uplink Receiver

An advanced receiver scheme for long-term evolution (LTE) uplink is proposed. The scheme combines semiblind channel estimation and turbo equalization and is based on an approximate expectation-maximization (EM) algorithm. The receiver iterates between demodulation of the data symbols using frequency-domain soft interference cancelation, turbo decoding, and semiblind channel estimation that utilizes the soft symbols extracted from the turbo decoder output. It is shown that, using the proposed scheme, one can replace most of the dedicated pilots used in the current LTE scheme with data information and obtain significantly better performance with the same bandwidth. Moreover, an efficient implementation of the proposed algorithm utilizing the discrete/fast Fourier transform (DFT/FFT) properties used in the single-carrier orthogonal frequency-division multiplexing (SC-OFDM) scheme is presented.

Training sequence based frequency-domain channel estimation for indoor diffuse wireless optical communications

Channel estimation is a key technology for wireless optical communication (WOC) systems. Based on the training sequence (TS), this article develops three frequency domain (FD) channel estimation approaches for diffuse wireless optical channels. Considering the propagation property of light and the characteristics of optical modulation, this article establishes a link model for the indoor WOC systems. Using the established link model, three FD channel estimation methods, such as the LS method, the minimum mean square error (MMSE) method and the ORL-MMSE method are proposed. The computational complexity analysis gives time complexities of the three channel estimation methods in FD. This article also evaluates the performance of the proposed three methods by computer simulation, measuring in terms of MSE and BER, respectively. Further more, based on the Cramer–Rao Bound theorem, optimal TSs are found and tabulated for different channel responses and TS lengths. By using the optimal TSs, channel estimation errors measured by BER performance are also investigated.

A frequency domain multiple-antenna and channel estimation approach for facilitation of UWB technologies coexistence in heterogeneous WPANs

Ultra wideband (UWB) communications is a promising technology which provides high data rates for short-range communications. There are currently two proposals as UWB standards, namely, multiband orthogonal frequency division multiplexing (MB-OFDM) UWB and direct-sequence (DS) UWB. These two standards can cause interference on each other and also to other wireless technologies when they are located in their vicinity. In this paper, we focus on the mutual interference of these two UWB standards. In the first part of the paper, we address the channel estimation issue for DS-UWB receiver, in the presence of multi-user interference (MUI) and MB-OFDM interference within the framework of wireless personal area networks (WPANs). In fact, we use the minimum mean square error estimation (MMSE) to estimate the channel based on a pilot transmission scheme. In the second part, we propose a simple but effective design for the receiver structure of the DS-UWB which utilizes a frequency domain multiple-antenna approach in order to mitigate MUI as well as the MB-OFDM external interference. Channel estimation performed in part one will be used in the detection process in part two. Numerical results are provided to evaluate the effectiveness of the proposed techniques for interference mitigation in DS-UWB.

Correlation Canceling-Type Feedback Canceler Based on Decision-Directed Pilot Symbols for T-DMB Repeaters

This paper presents a novel correlation canceling-type feedback canceler based on decision-directed pilot symbols for a terrestrial digital multimedia broadcasting (T-DMB) on-channel repeater (OCR). In order to guarantee an additional isolation of the OCR, two types of the feedback cancelers have been investigated: a correlation canceling (CC)-type feedback canceler and a frequency-domain channel estimation (FDCE)-type feedback canceler. While both of the feedback cancelers suppress the feedback signal effectively, they can operate complementarily each other with their own respective advantages. To achieve these complementary properties of the two types of feedback cancelers, we adopt a CC-type feedback canceling structure based on the frequency-domain estimated pilot symbols. The proposed feedback canceler improves the feedback channel estimation accuracy of the conventional CC-type feedback canceler as well as increases the channel estimation speed of the conventional FDCE-type feedback canceler. Simulation results show that the proposed feedback canceler has better feedback canceling performance and tracking ability for dynamic feedback channels.

Performance Analysis of Multiband OFDM System Over Ultra Wide Band Channels Using Kalman Filter

In this paper a modified version of Saleh-Valenzuela (S-V) channel model has been proposed for Ultra Wide Band (UWB) Orthogonal Frequency Division Multiplexing (OFDM) system and the performance has been estimated. In the proposed model, Poisson process has been modified for ray arrival rate and found that the proposed model is optimum for modeling ray arrival rate as compared to S-V model. Also Nakagami fading distribution has been considered in UWB channel model which suits for time varying multipath radio environment. The performance of the proposed channel model has been statistically analyzed over multiband OFDM by considering frequency domain channel estimation technique. The estimated coefficients have been tracked using Kalman filter technique and found that it gives more accurate prediction of channel coefficients as compared with Least Squares and Minimum Mean Square Estimation channel estimation techniques.

Iterative Channel Estimation with Frequency Replacement for SC-FDMA Systems

Single-carrier frequency division multiple access (SC-FDMA) is an attractive air interface scheme for broadband wireless communications. For the coherent demodulation of SC-FDMA systems, the receiver performs channel estimation to obtain the channel frequency response by using the reference signals multiplexed in the transmitted signal. In this paper, we propose an iterative frequency domain channel estimation scheme for SC-FDMA systems. To prevent severe noise enhancements due to the Gaussianity of the frequency domain data signal, we consider two low complexity algorithms, namely, hard and soft frequency replacements. We first analytically derive the mean square error (MSE) to characterize the effects of frequency replacement and post iterative filtering. By analyzing MSE performance, we present a design framework to develop the optimal frequency replacement. Based on the design framework, hard and soft frequency replacement algorithms are optimized in the MSE sense. Then, their low complexity adaptation methods are proposed for practical SC-FDMA systems, where the proposed frequency replacement is performed according to the reliability of the data estimates. Simulation results show that the proposed iterative channel estimation techniques effectively compensate for noise enhancements, and thus give good MSE and frame error rate performances.

An Accurate and Efficient Two-Stage Channel Estimation Method Utilizing Training Sequences with Closed Form Expressions

A novel two-stage frequency domain channel estimation method especially suitable for the estimation of long channels such as ultra wide band channels is proposed. The proposed method can efficiently use the sequences with closed form analytical expressions such as the Legendre sequences. (The suggested method does not require a computationally intense search for good training sequences which is infeasible for long training sequences.) The method is shown to present a minor improvement in the total estimation error variance when compared with the conventional single stage frequency domain channel estimation. In addition, the proposed method has a very efficient time domain implementation requiring at most 2N multiplications, where N is the training sequence length, in comparison to O(N log N) multiplications required for the conventional method.

Interpolation-Based QR Decomposition and Channel Estimation Processor for MIMO-OFDM System

This paper presents a modified interpolation-based QR decomposition algorithm for the grouped-ordering multiple input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems. Based on the original research that integrates the calculations of the frequency-domain channel estimation and the QR decomposition for the MIMO-OFDM system, this study proposes a modified algorithm that possesses a scalable property to save the power consumption for interpolation-based QR decomposition in the variable-rank MIMO scheme. Furthermore, we also develop the general equations and a timing scheduling method for the hardware design of the proposed QR decomposition processor for the higher-dimension MIMO system. Based on the pro posed algorithm, a configurable interpolation-based QR decomposition and channel estimation processor was designed and implemented using a 90-nm one-poly nine-metal CMOS technology. The processor supports 2 × 2, 2 × 4 and 4 × 4 QR-based MIMO detection for the 3GPP-LTE MIMO-OFDM system and achieves the throughput of 35.16 MQRD/s at its maximum clock rate 140.65 MHz.

Interference Cancellation Techniques for Digital On-Channel Repeaters in T-DMB System

Digital on-channel repeater (DOCR) is regarded as a desirable solution to effectively build a wide-area network of mobile terrestrial-digital multimedia broadcasting (T-DMB) services. On the other hand, the DOCR mainly suffers from interference effects caused by a strong feedback signal and a time-varying channel dispersion. In this paper, we propose a novel DOCR for use in the T-DMB system in order to mitigate effectively both interference effects. First, we present an energy equalizer using the scarce pilot structure of T-DMB system to estimate a channel state information on every OFDM symbol. An optimum frequency domain channel estimation (FDCE) algorithm is then derived for the energy equalizer. In addition, a moving average filter (MAF) is employed to mitigate the phase distortion of truncated equalizer coefficients in deep null channel. Finally, in the performance evaluations, it is shown that the optimum FDCE outperforms a perfect FDCE. It is also shown that the DOCR equipped with the proposed interference cancellation can solve the problems caused by a limited channel information update, a phase distortion of the equalizer, and a residual feedback signal.

Feedback Cancellation for T-DMB Repeaters Based on Frequency-Domain Channel Estimation

This paper presents a novel feedback canceller for a terrestrial digital multimedia broadcasting (T-DMB) on-channel repeater (OCR). There is a crucial requirement for an OCR that the isolation between the transmitter and the receiver antennas should be sufficiently secured to prevent unwanted oscillation. The required isolation, however, may not be satisfied by some physical or technical limitations. In order to overcome these obstacles, undesired feedback signals have been usually reduced by feedback cancellation techniques based on pilot-aided frequency-domain channel estimation (FDCE). In case of the T-DMB system, however, there are no pilot symbols except for the phase reference symbols (PRSs), which are transmitted only once every 76 OFDM symbols. Consequently, the convergence speed and the tracking capability of the FDCE-type feedback cancellers may not meet the required robustness in coping with dynamic feedback channels. To improve the immunity to time-varying channels, we increase the usable number of updates in our feedback canceller, where the PRS is divided into several sub-PRSs during the PRS period and pseudo pilots are generated by decision-directed estimation in the data-symbol duration. Simulation results show that the proposed methods do improve the convergence speed and the tracking capability of the conventional method in both static and dynamic feedback channels.

Kalman smoothing-based adaptive frequency-domain channel estimation for uplink multiple-input multiple-output orthogonal frequency division multiple access systems

This study investigates Kalman smoothing (KS)-based frequency-domain channel estimation for uplink multiple-input multiple-output (MIMO) orthogonal frequency division multiple access (OFDMA) systems with time-varying channels. The proposed KS channel estimation scheme significantly outperforms the recursive least squares (RLS) channel estimation in the high signal-to-noise ratio (SNR) range, because of more effective exploitation of the signal information. In addition, channel interpolation is employed to improve the channel estimation accuracy by exploiting the correlation between adjacent subcarriers. The proposed KS channel estimator can also achieve a bit error rate (BER) performance which is close to the case with perfect channel state information (CSI) with a training overhead of only 5%.