Analytical design method for optimal equiripple comb FIR filters

A novel analytical design method for highly selective digital optimal equiripple comb finite-impulse response (FIR) filters is presented. The equiripple comb FIR filters are optimal in the Chebyshev sense. The number of notch bands, the width of the notch bands and the attenuation in the passbands can be independently specified. The degree formula and the differential equation for the generating polynomial of the filter is presented. Based on the differential equation, a fast simple algebraic recursive procedure for the evaluation of the impulse response of the filter is described. Its arithmetic robustness outperforms, by far, the known analytical design method. Highly selective equiripple comb FIR filters with thousands of coefficients can be designed. One example demonstrates the efficiency of the filter design.     

Novel efficient approach for the design of equiripple quadraturemirror filters

Quadrature mirror filters have been used extensively in subband coding of speech signals. The authors introduce a novel efficient approach for the design of equiripple quadrature mirror filters. The new approach is more efficient than the previously proposed design method in terms of computer time and memory requirement     

Frequency grid density for the design of 2-D FIR filters

In the design of a digital 2-D FIR filter, the frequency response is often optimised to satisfy a given set of specifications on a dense grid of frequency points. The accuracy of a filter design improves when there are more grid points, but this is at the expense of higher computational resources. The authors present the relationship between the accuracy and the frequency grid density in 2-D filter designs. A new formula for determining the frequency grid spacing is also proposed     

Fixed-width multipliers for the implementation of efficient digital FIR filters

The use of fixed-width multiplier for the implementation of FIR filters is investigated in this paper.The paper presents a review of the existing fixed-width multiplier architectures and analytically calculates the error introduced by the use of fixed-width multipliers in the realization of FIR filters. FIR filters are implemented in TSMC technology using state-of-the-art fixed-width multipliers, varying the architecture and the width of the output.The analysis shows that fixed-width multipliers are a suitable replacement for the full-width multiplier. Furthermore the best trade-off between error, silicon area occupation and power is provided by the LMS fixed-width multiplier. As example a FIR filter with 16b fixed-width multiplier provides a reduction of 16% in area and 18% in power dissipation with a 22% increase of the working frequency, while keeping the mean square error below  LSB².     

Offset compensation scheme for analogue LMS adaptive FIR filters

Offset voltage in the adapting part of an analogue LMS adaptive filter, caused by clock feedthrough, causes serious degradation of the convergence and error performance of the filter. A compensation scheme for the clock-induced offset is described. Simulation results at both algorithmic and circuit level are presented.<>     

A novel method for designing FIR digital filters with nonuniform frequency samples

A new method of designing FIR digital filters using nonuniform frequency samples is presented. There is no restriction on the phase to be linear. The method is based on a Newton-type polynomial interpolating on the unit circle of the complex plane. Attractive features of the proposed method are the applicability to unequally spaced samples, the recursive and semipermanent computation of filter parameters, the capability of obtaining short transition bands or sharp cut-off frequency responses, and the design of efficient algorithms for real-time applications. In the serial case, when the next sample appears, the design parameters are evaluated only by updating the old ones with correction terms that could be used as indicators for convergence, approximation, or filter reduction. The method can be extended to m-D filter design, DFT calculation, design of parallel algorithms, etc.<>     

Novel and efficient realizations of FIR digital filters

An FIR filter can usually be realized in the direct form or in cascade form. The Chebyshev-type structures, known for the 2-D FIR filter implementation, are generalized to the realization of arbitrary 1-D causal FIR filters. The new realizations show several attractive properties and can be implemented using modular pipelineable processor arrays     

A simple and efficient design of variable fractional delay FIR filters

In this paper, a simple and efficient approach for designing one-dimensional variable fractional delay finite impulse response digital filters is proposed. Two matrix equations, based respectively on the weighted least-squares function of the optimum fixed fractional delay filter and the filter coefficient polynomial fitting, are formulated in tandem to form the design algorithm, which only has the computation complexity comparable with that of designing fixed finite impulse response digital filters. A design example is also given to justify the effectiveness and advantages of the proposed design method.     

An analytical procedure for critical frequency tuning of FIR filters

A novel analytical procedure for the tuning of finite-impulse response (FIR) filters is introduced. The tuning procedure adjusts a single frequency of the frequency response to the desired value while preserving the nature of the filter. The impulse responses of the original and of the final filter are related by the transformation matrix. Two examples in the analytical design of notch FIR filters demonstrate the usefulness of the proposed tuning procedure.     

Boundary implications for frequency response of interval FIR andIIR filters

It is shown that vertex implication results in parameter space apply to interval trigonometric polynomials. Subsequently, it is shown that the frequency responses of both interval FIR and IIR filters are bounded by the frequency responses of certain extreme filters. The results apply directly in the evaluation of properties of designed filters, especially because it is more realistic to bound the filter coefficients from above and below instead of determining those with infinite precision because of finite arithmetic effects. Illustrative examples are provided to show how the extreme filters might be easily derived in any specific interval FIR or IIR filter design problem     

A dynamic bandwidth allocation scheme for differentiated services in EPONs

Passive optical networks bring high-speed broadband access via fiber to the business, curb and home. Among various types of PONs, Ethernet PONs are gaining more and more attention since they are built on widely used Ethernet technology and can offer high bandwidth, low cost and broad services. EPONs use a point-to-multipoint topology, in which multiple optical network units share one uplink channel to transmit multimedia traffic to a control element, the optical line terminal. To avoid data collision on the shared uplink channel, a key issue in EPONs is a contention-free MAC protocol for the OLT to schedule the transmission order of different ONUs. In this article we first review some DBA schemes available in the literature, then propose a two-layer bandwidth allocation scheme that implements weight based priority for this need. To maximally satisfy the requests of all ONUs and provide differentiated services, an ONU is allowed to request bandwidth for all its available traffic, and all traffic classes proportionally share the bandwidth based on their instantaneous demands. The weight set for each class not only prevents high-priority traffic from monopolizing the bandwidth under heavy load but also ensures a minimum bandwidth allocated to each traffic class.     

A spectrum-efficient interference-free frequency allocation scheme for a cellular radio system

A large volume of work has been devoted to searching for a better frequency assignment scheme to handle varying traffic loads in a cellular radio system. However, very little has been accomplished in designing a spectrum-efficient interference-free frequency allocation scheme for this type of system. It is attempted to describe a novel spectrum-efficient frequency allocation scheme that provides an operation which is free from co-channel interference as well as intracell adjacent channel and two-signal third-order intermodulation interference. The proposed scheme is fundamentally different from the existing cellular frequency assignment schemes in which traffic loading is considered without taking interference into account. In the design, we assume that the traffic is uniform in all the cells of the cellular system and there are the same number of channels in each cell.     

RAPID PROTOTYPING - Area efficient FIR filters for high speed FPGA implementation

A new algorithm that synthesises multiplier blocks with low hardware requirement suitable for implementation as part of full-parallel finite impulse response (FIR) filters is presented. Although the techniques in use are applicable to implementation on application-specific integrated circuit (ASIC) and Structured ASIC technologies, analysis is performed using field programmable gate array (FPGA) hardware. Fully pipelined, full-parallel transposed-form FIR filters with multiplier block were generated using the new and previous algorithms, implemented on an FPGA target and the results compared. Previous research in this field has concentrated on minimising multiplier block adder cost but the results presented here demonstrate that this optimisation goal does not minimise FPGA hardware. Minimising multiplier block logic depth and pipeline registers is shown to have the greatest influence in reducing FPGA area cost. In addition to providing lower area solutions than existing algorithms, comparisons with equivalent filters generated using the distributed arithmetic technique demonstrate further area advantages of the new algorithm     

实现EPON上行时隙分配的有效方案

以太网无源光网络(EPON)是未来实现宽带、多业务综合接入的重要技术手段．文章提出了一种实现EPON上行时隙分配的电路方案,完成了动态带宽分配算法(DBA)结果到接入时间的转换,同时基于“抢占”策略,实现了EPON系统的自动发现功能．     

A Fast FIR filtering technique for multirate filters

This paper presents a technique for applying Fast FIR Algorithms (FFAs) to interpolation and decimation filters. In the event that the prototype filter has a symmetric impulse response, it is shown that the subfilters which result from the application of the FFA will be jointly symmetric. This fact may be exploited in order to further reduce the computational complexity of the system. The effect of transposition upon the proposed structure is discussed, and it is shown that transposition yields a more economical structure in the case of a decimation filter. The computational complexity of the proposed schemes is shown to compare favorably with that of the standard parallel filtering approach.     

Design of 2-D FIR filters by nonuniform frequency sampling

A method for the frequency-sampling design of two-dimensional FIR filters with nonuniformly spaced samples is presented. By imposing some mild constraints on sample location in the 2-D frequency plane, the method always provides a unique design solution. Important characteristics of the method are design flexibility through the use of nonuniform samples and computational efficiency. This method is compared with the uniform sampling, inverse discrete Fourier transform (DFT) approach and also with a general method for filter design called arbitrary sampling. The method presented is shown to require much less computation than the arbitrary sampling approach, which may lead to possible degenerate cases where there is no unique solution for the filter. The method proposed does not lead to such degeneracies and possesses more flexibility than the uniform sampling method. Examples are given in order to compare the new method with the uniform sampling method     

A 200-MHz seventh-order equiripple continuous-time filter by designof nonlinearity suppression in 0.25-μm CMOS process

Seventh-order equiripple filter with cutoff frequency of 200 MHz is developed in CMOS 0.25-μm process. A new design method has been adopted to obtain enough accuracy and linearity in high-frequency operation. Optimal device sizes are determined, which maximize the accuracy. The most suitable filter configuration is determined, which suppresses the influence of the nonlinearity of the transconductors over the linearity of the filter. Experimental results satisfied group delay variation of ±5% and achieved total harmonic distortion of less than 1% for 800 mV_ppd differential input     

A multi-cell graph based dynamic resource allocation scheme for multi-user wireless networks

Dynamic resource allocation being a computationally difficult problem, static spectrum management is more commonly used in large-scale networks. The combination of virtualization technologies, where powerful centralized allocation algorithms can be implemented, and recent advances in graph coloring algorithms prompts the revisiting of this view. We describe a new graph based framework to maximize the number of simultaneously communicating mobiles in a wireless network. Since the considered problem is NP-hard, we propose various heuristic algorithms and analyze their performance, in comparison with standard decentralized channel assignment strategies such as Fractional Frequency Reuse (FFR). We consider the LTE uplink and downlink with the WINNER channel as the reference model. We show that for blocking probabilities below 2%, our scheme typically increases the number of mobile users by 25%. For example with 25 base stations and 120 channels, running the resource allocation scheme takes one second on a PC and permits to increase the number of mobiles requiring one single channel each from 750 to 950, a 25% increase in efficiency compared to FFR.     

A dynamic transmission capacity allocation scheme for wired/wireless ATM networks

The previous research on administration of the transmission capacity in the wired/ wireless ATM networks only focuses on wired part or wireless part. There are very few people do the work extending to the links associating with handoff in the whole network. This paper develops the algorithms of transmission capacity administration on the link connecting the base station and base station controller (including the air interface of the base station) and the VPs among the base station controllers in the wired/ wireless ATM networks, which adapt to the traffic state of each service in every cellular cell to allocate (provision) transmission capacity and to reserve handoff guard capacity on these links, respectively. By simulating and analyzing the performance of the algorithm, it is found that it does well for the multimedia communication in which the transmission capacity requirement of each service may be widely different, so that the network bandwidth resource can be used efficiently.     

一种在复频域设计FIR滤波器的算法

本文讨论了在复Chebyshev意义下逼近理想复频响应的FIR滤波器设计问题。给出了一种通过解决半无限线性规划的对偶规划的设计方法,这种算法是单纯形法的一种变形,具有较好的收敛速度和数值稳定性,并给出仿真结果说明了算法的性能。