The Design of a Multiple Cavity Equalizer

A simplified design method for a group delay equalizer with multiple poles has been developed, which replaces the conventional approach of cascading several C- and D-type equalizers by one equalizer with multiple poles. A prototype 4-pole equalizer has been designed and tested with satisfactory performance.     

Synthesis of a self-equalized dual-passband filter

This letter describes synthesis method for a self-equalized dual-passband filter. Compared to a conventional dual-passband filter, the self-equalized dual-passband filter can reduce bit-error rate (BER) in digital data communications and does not need an external equalizer for group delay equalization. To validate the synthesis method described in this letter, a 10-pole dual-passband filter which has two self-equalized five-pole elliptic-response passbands is synthesized.     

Waveguide Bandpass Filters for Millimeter-Wave Radiometers

A fundamental requirement for most mm-wave heterodyne receivers is the rejection of the input image signal which is located close to the local oscillator frequency. For this purpose we use a bandpass filter, which for heterodyne receivers is also called an image rejection filter. In this paper we present a systematic approach to the design of a waveguide bandpass filter with a passband from 100 to 110 GHz and upper rejection bandwidth in the range from 113 to 145 GHz. We consider two non-tunable filter configurations: the first one is relatively selective with 11 sections (poles) whereas the second one is simpler with 5 sections. We used established design equations to propose an initial guess for the geometries of the filters, optimized the geometries, constructed the filters using two different milling methods, measured their transmission and reflection characteristics, and compared the measurements with numerical simulations. Measurements of both filters agree well with simulations in frequency response and rejection bandwidth. The insertion loss of the 11-pole filter is better than 10 dB and that of the 5-pole filter is better than 5 dB. The 11-pole filter has a sharper attenuation roll-off compared with the 5-pole filter. The upper out-of-band rejection is better than 40 dB up to 145 GHz for the 11-pole filter and up to 155 GHz for the 5-pole filter.     

应用于LTE上行链路的D-MMSE-FE 均衡算法

为克服线性均衡性能的局限性及避免传统判决反馈均衡器的高复杂度,提出了一种判决反馈均衡算法D-MMSE-FE。该均衡器先是分析线性MMSE均衡的结果成分,并根据最小均方误差准则计算出均衡器的前、后向传递函数,形成反馈链路,提高均衡器性能。将该种均衡器应用于TDD-LTE 1×2 SIMO上行链路中,在协议中常用的信道下进行了计算机仿真,仿真结果表明,TDD-LTE 1×2 SIMO均衡器相对于线性均衡器使系统性最多可提高达2 dB。     

两种小型谐振器在微带均衡器中的应用

本文阐述了新型发卡式谐振器和矩形螺旋形谐振器及其在微带均衡器中的应用,利用上述两种谐振器分别设计了两种微带均衡器单子结构电路,通过仿真发现采用新型发卡式谐振器的均衡器单子结构电路具有频率调谐功能;而采用螺旋形谐振器的均衡器单子结构电路不仅具有频率调谐功能,而且具有衰减幅度调节功能,解决了由于实际加工误差引起的频率和衰减偏移问题。最后根据实际需要采用这种螺旋形谐振器设计了一个微带均衡器并给出了其频率曲线。     

A blind decision feedback equalizer incorporating fixed lagsmoothing

A new type of blind decision feedback equalizer (DFE) incorporating fixed lag smoothing is developed in this paper. The structure is motivated by the fact that if we make full use of the dependence of the observed data on a given transmitted symbol, delayed decisions may produce better estimates of that symbol. To this end, we use a hidden Markov model (HMM) suboptimal formulation that offers a good tradeoff between computational complexity and bit error rate (BER) performance. The proposed equalizer also provides estimates of the channel coefficients and operates adaptively (so that it can adapt to a fading channel for instance) by means of an online version of the expectation-maximization (EM) algorithm. The resulting equalizer structure takes the form of a linear feedback system including a quantizer, and hence, it is easily implemented. In fact, because of its feedback structure, the proposed equalizer shows some similarities with the well-known DFE. A full theoretical analysis of the initial version of the algorithm is not available, but a characterization of a simplified version is provided. We demonstrate that compared to the zero-forcing DFE (ZF-DFE), the algorithm yields many improvements. A large range of simulations on finite impulse response (FIR) channels and on typical fading GSM channel models illustrate the potential of the proposed equalizer     

High-speed CMOS continuous-time complex graphic equalizer formagnetic recording

A high-speed continuous-time CMOS analog adaptive equalizer for use in magnetic recording read channels is presented. The equalizer is implemented as the summation of several bandpass filters covering different frequency bands as in a graphic equalizer. The outputs from each filter are weighted by a complex coefficient and summed, which results in a linear combiner structure guaranteed to converge under least mean square (LMS) adaptation. System-level simulations of our “complex graphic equalizer (CGE)” show that its performance is comparable to that of a ten-tap finite impulse response (FIR) equalizer following a fourth-order low-pass filter when tested with two different sequence detectors: EPR4-MLSD and fixed delay tree search with decision feedback (FDTS/DF). A five-band tunable CGE has been fabricated using a 0.8-μm CMOS technology. The highest band of the fabricated CGE was centered at 80 MHz (corresponding to channel data rate of about 200 Msymbols/s). Measured dynamic range was 68 dB, and measured total harmonic distortion was only -75 dB while consuming 97 mW at 3.3 V. The measured CGE performance agreed within 0.2 dB with the simulation results for an FDTS/DF system with an ideal CGE operating at 2.5 user bits/PW50     

An adaptive line equalizer LSI for ISDN subscriber loops

An adaptive line equalizer LSI applied to a time-compression multiplexing transmission system, which transfers 320-kb/s AMI coded signals to provide the 144-kb/s (2B+D) transmission capacity recommended by CCITT, is described. The √f equalizer can adaptively equalize up to 53-dB cable loss at Nyquist frequency (160 kHz), using switched-capacitor filter (SCF) technology. The equalizer transfer function is optimized in the time domain. The coarse automatic gain control circuit is composed of a fourth-order SCF. A high-speed operational amplifier, with wide output voltage swing and excellent stability against load capacitance variation, has been developed. The equalizer enables 5.5-km transmission over 0.5-mm diameter cable with two bridged taps because of its wide gain dynamic range and the use of decision feedback. A small chip size, 6.2×6.6 mm, and low power consumption, 80 mW (from a 5-V single supply), are achieved in 3-μm CMOS technology     

缺陷地结构在微带均衡器设计中的应用

本文将缺陷地结构应用到微带功率均衡器的设计中。文中对比分析了加载缺陷地结构前后均衡器谐振枝节的特性以及缺陷地结构参数对谐振枝节性能的影响,在此基础上设计了缺陷地结构微带功率均衡器。加载缺陷地结构后可以得到更大的均衡量,同时也拓展了带宽,因而可以用较少的谐振枝节来实现更宽的均衡网络,保证了器件的小型化,为微带功率均衡器的设计提供了新的结构。     

超精密磁悬浮工作台的一种低功耗磁悬浮设计

超精密磁悬浮工作台的磁悬浮部分的设计，将直接影响到系统的动力学性能、空间结构以及热性能等。针对这些性能上的要求，给出了一种三磁极电磁铁及相应的磁悬浮设计，并结合常规双磁极电磁铁的情况，对性能进行了分析和比较。相比之下，该设计可使静态功耗(或发热量)降低50％，具有更合理的空间结构。只需要两个这样的电磁铁便可以实现工作台的磁悬浮(采用双磁极电磁铁则通常需要四个)。最后通过一个应用实例及实验结果，验证了该设计的正确性和有效性。     

A Simplified Two-Stage Equalizer with a Reduced Number of Multiplications for Data Transmission over Voiceband Telephone Links

The paper presents an equalization scheme based on the two-stage equalizer originally introduced by Proakis. Mostly additions are required for implementation of the equalizer structure and the adaptation algorithm. The equalizer can be applied to data transmission Systems which use four-phase modulation, especially in 1200/2400 bit/s modems, thus replacing the fixed equalizer recommended by CCITT. The results presented in the paper deal with the analog and digital implementation of the proposed equalizer. Its performance is compared to the performance of the conventional transversal equalizer, a decision-feedback equalizer, an ideal linear canceller, and an ideal QPSK system.     

An adaptive algorithm for differentially coherent detection in the presence of intersymbol interference

An adaptive equalization method is proposed for use with differentially coherent detection of M-ary differential phase-shift keying (DPSK) signals in the presence of unknown carrier frequency offset. A decision-feedback or a linear equalizer is employed, followed by the differentially coherent detector. The equalizer coefficients are adjusted to minimize the post-detection mean squared error. The error, which is a quadratic function of the equalizer vector, is used to design an adaptive algorithm of stochastic gradient type. The approach differs from those proposed previously, which linearize the post-detection error to enable the use of least mean squares (LMS) or recursive least squares (RLS) adaptive equalizers. The proposed quadratic-error (Q) algorithm has complexity comparable to that of LMS, and equal convergence speed. Simulation results demonstrate performance improvement over methods based on linearized-error (L) algorithm. The main advantages of the technique proposed are its simplicity of implementation and robustness to carrier frequency offset, which is maintained for varying modulation level.     

Decision-Feedback Equalization for Pulse-Position Modulation

In this paper, we propose a minimum mean squared error (MMSE) decision feedback equalizer (DFE) for pulse position modulated (PPM) signals in the presence of intersymbol interference (ISI). While traditional uses of PPM may not have had ISI, PPM is increasingly being considered for use in situations where ISI is an issue, such as high-performance optical communication systems and ultrawideband communications. First, we review previous work on the subject which used the zero-forcing criterion under strict assumptions about the channel and equalizer lengths. Then, we derive a computationally efficient MMSE equalizer which removes these restrictions, and is suitable for use with training-based stochastic gradient-descent algorithms. Finally, we demonstrate the performance of the proposed equalizer with simulations.     

Equalization of a hard-limited slowly-fading multipath signal usinga phase equalizer with time-reversal structure

Describes a low-complexity equalization technique for improving the reliability of portable radio links in the presence of multipath time delay spread. A technique that operates on hard-limited received signals, with only the phase information available, is presented. Suboptimum receivers based on a maximum likelihood estimation criterion are discussed, including a sequence estimator and a decision feedback phase detector. A low-complexity adaptive phase equalizer structure using decision-directed phase tracking is proposed. The equalizer does not require the multiplication operations required in most conventional equalization algorithms. The author also proposes a receiver that includes a time-reversal structure and a joint estimator for optimum timing recovery and equalizer training. The time-reversal structure plays a crucial role in maximizing the compensation capability of the phase equalizer. The combined use of phase equalization and diversity reception is also considered     

双模曲折悬置带线环四极微波滤波器

该文研制了双模曲折悬置带线环四极微波滤波器。采用全波技术对该种滤波器特性进行的计算表明,它具有优良的窄通带、高选择性和小体积,与同类型二极滤波器相比,过渡带更陡峭。采用优化设计方法设计出了滤波器电路尺寸,制造了以r=2.8的Teflon为介质基片的滤波器,测试得到的双模曲折悬置带线四极滤波器的中心频率为f0=1.194 GHz,△f=19.4 MHz,通带插入损耗LP4.3 dB,阻带衰减Ls50 dB,实验结果和CAD预测作了比较,两者基本一致。这种滤波器可望在多种微波系统和移动通信系统中应用。     

The impact of both a priori information and channel estimation errors on the MAP equalizer performance

To combat the effects of intersymbol interference (ISI), the optimal equalizer to be used is based on maximum a posteriori (MAP) detection. In this paper, we consider the case where the MAP equalizer is fed with a priori information on the transmitted data and propose to study analytically their impact on the MAP equalizer performance. We assume that the channel is not perfectly estimated and show that the use of both the a priori information and the channel estimate is equivalent to a shift in terms of signal-to-noise ratio (SNR) for which we provide an analytical expression. Simulation results show that the analytical expression approximates well the equalizer behavior.     

Adaptive bit rate maximizing time-domain equalizer design for DMT-based systems

The classical discrete multitone receiver as used in, e.g., digital subscriber line (DSL) modems, combines a channel shortening time-domain equalizer (TEQ) with one-tap frequency-domain equalizers (FEQs). In a previous paper, the authors proposed a nonlinear bit rate maximizing (BM) TEQ design criterion and they have shown that the resulting BM-TEQ and the closely related BM per-group equalizers (PGEQs) approach the performance of the so-called per-tone equalizer (PTEQ). The PTEQ is an attractive alternative that provides a separate complex-valued equalizer for each active tone. In this paper, the authors show that the BM-TEQ and BM-PGEQ, despite their nonlinear cost criterion, can be designed adaptively, based on a recursive Levenberg-Marquardt algorithm. This adaptive BM-TEQ/BM-PGEQ makes use of the same second-order statistics as the earlier presented recursive least-squares (RLS)-based adaptive PTEQ. A complete range of adaptive BM equalizers then opens up: the RLS-based adaptive PTEQ design is computationally efficient but involves a large number of equalizer taps; the adaptive BM-TEQ has a minimal number of equalizer taps at the expense of a larger design complexity; the adaptive BM-PGEQ has a similar design complexity as the BM-TEQ and an intermediate number of equalizer taps between the BM-TEQ and the PTEQ. These adaptive equalizers allow us to track variations of transmission channel and noise, which are typical of a DSL environment.     

Nonsingular Constant Modulus Equalizer for PDM-QPSK Coherent Optical Receivers

Adaptive electronic equalizers using the constant modulus algorithm (CMA) algorithm often converge to a singular coefficient matrix that produces the same signal at multiple outputs. We address this issue in the context of optical communications systems with polarization-division multiplexing and coherent receivers. We study, by computer simulation, the performance of multiuser CMA equalizer, an enhanced CMA equalizer initially proposed for use in wireless multiuser and later multiple-input/multiple-output communications systems. We show that the proposed adaptive electronic equalizer does not exhibit singularities and, therefore, is superior to the commonly used CMA equalizer.     

Fast computation of channel-estimate based equalizers in packetdata transmission

Computationally efficient procedures are introduced for the real-time calculation of finite-impulse-response (FIR) equalizers for packet-based data transmission applications, such as wireless data networks. In such packet data applications, the FIR equalizer filters are computed indirectly by first estimating the channel pulse response from a known training pattern embedded in each packet and then computing the equalizer for use in the recovery of the remaining unknown data in the packet. We find that a minimum mean-square-error decision-feedback equalizer (MMSE-DFE) with a finite-length constraint on its feedforward and feedback filters can be very efficiently computed from this pulse response. We combine a recent theory of finite-spectral factorization for the MMSE-DFE with the theory of structured matrices to derive these efficient procedures for computing the equalizer settings. The introduced method is much more computationally efficient than direct computation by matrix inversion or the use of popular gradient or least-squares algorithms over the duration of the packet     

A quadratic sigmoid neural equalizer for nonlinear digital magneticrecording channels

A new neural equalizer is proposed in order to compensate for intersymbol interference and to mitigate nonlinear distortions in digital magnetic recording systems. The proposed equalizer uses the quadratic sigmoid function as the activation function. The performance of the proposed equalizer is compared to those of a decision-feedback equalizer (DFE) and a neural decision feedback equalizer (NDFE) in terms of bit-error rate in nonlinear digital magnetic recording channels. Simulation results demonstrate that the proposed equalizer outperforms both DFE and NDFE