Generalized digital Butterworth filter design

This correspondence introduces a new class of infinite impulse response (IIR) digital filters that unifies the classical digital Butterworth filter and the well-known maximally flat FIR filter. New closed-form expressions are provided, and a straightforward design technique is described. The new IIR digital filters have more zeros than poles (away from the origin), and their (monotonic) square magnitude frequency responses are maximally flat at ω=0 and at ω=π. Another result of the correspondence is that for a specified cutoff frequency and a specified number of zeros, there is only one valid way in which to split the zeros between z=-1 and the passband. This technique also permits continuous variation of the cutoff frequency. IIR filters having more zeros than poles are of interest because often, to obtain a good tradeoff between performance and implementation complexity, just a few poles are best     

数字滤波器在数字信号处理中的应用设计

在信号处理中,滤波占有十分重要的地位.数字滤波是数字信号处理的基本方法,以FIR滤波器为基础,利用MATLB程序设计语言对低通FIR数字滤波器进行了有效的设计,应用DSP 汇编语言编程实现了该滤波器.     

DAC中多级插值滤波器的研究与设计

设计了一种用于数字语音处理的插值滤波器。该滤波器利用多项插值原理,对采样率为44.1kHz,分辨率为16bit的输入音频信号（PCM码）进行128倍过采样。在Matlab下完成系统仿真后,采用Verilog对滤波器进行功能描述,并利用ModelSim工具进行仿真。仿真结果表明能够满足设计性能要求。     

IIR数字滤波器的研究与设计

文中探讨了利用模拟滤波器设计IIR数字滤波器过程中的转换方法,脉冲响应不变法和双线性变换法,在MATLAB中以两种方法设计了数字巴特沃思低通滤波器。探讨了MATLAB中非低通数字滤波器的完全工具函数设计法和分步函数设计法,以上述方法分别设计了切比雪夫I型数字低通、高通、带通、带阻滤波器。     

基于DSP Builder的数字滤波器设计与实现

现场可编程门阵列（FPGA）器件广泛用于数字信号处理领域,而使用VHDL或VerilogHDL语言进行设计比较复杂。提出一种采用FDATOOL工具和DSP Builder实现FIR滤波器的设计方案,按照MATLAB/Simulink/DSP Builder/QuartusII设计流程,使用FDATOOL工具可以实时调整滤波器的参数,采用DSP Builder设计了一个16阶FIR低通滤波器模型,并完成了仿真与验证,将模型转换生成VHDL代码,实现了基于FPGA的数字滤波器的设计。结果表明,该方法简单易行,易修改与移植,可满足设计要求,它验证了采用DSP Builder实现数字滤波器设计的独特优势。     

Generalized polyphase structure-based Mth-band filter design and application to image interpolation

A generalized polyphase (GP) structure-based method for the design of linear-phase Mth-band FIR filters satisfying the time-domain interpolation condition is presented. Some new transform matrices that allow for the use of an arbitrary number of branches in the GP structure are developed. Closed-form frequency specifications for constituent filters of the GP realization are obtained, making an independent and fast design of the short-length constituent filters possible. The proposed GP-based method is then extended for the design of a class of interpolation filters with certain regularities. Some of the interpolation filters designed based on the proposed GP structure are also applied to image resizing. Simulation results show that our interpolation filter gives a superior resized image than the common cubic spline interpolation does.     

Top-down design of a VLSI digital filter bank

This paper relates theoretical investigations in digital signal processing (DSP) to the design of a VLSI digital filter bank (DFB). Emphasis is on a top-down approach to identify multilevel parallelisms inherent in a generic DSP algorithm and a new VLSI architecture. System level control and communication requirements are examined. Finite word length effects on filter accuracy are identified. The complexity of filter modules is reduced by partitioning large filter functions into a sum of smaller subfunctions. A memory intensive architecture minimizes design time. Up to 100 DRF modules are configured in parallel to perform signal processing up to 20 MHz. This VLSI DFB out performs sequential von Neumann architectures by several orders of magnitude using the same level of VLSI technology.     

Design of interpolation filter for all digital receiver—On the interpolation problem of full response modulation signals

All digital implementation of receiver is a main topic on digital communication recently. The design of interpolation filter is one of the important problems for all digital implementation of receiver. In this paper, for full response linear modulation signal, a interpolation criterion is proposed. An interpolation formula is presented on bandwidth-limited transmission signal. For example, using the raised cosine roll off function as the system pulse response, the feasibility and effectiveness on the interpolation formula are certified by theoretical and numerical analysis. The computer simulation result on 16-QAM signal is given.     

A digital signal processing approach to interpolation

In many digital signal precessing systems, e.g., vacoders, modulation systems, and digital waveform coding systems, it is necessary to alter the sampling rate of a digital signal Thus it is of considerable interest to examine the problem of interpolation of bandlimited signals from the viewpoint of digital signal processing. A frequency dmnain interpretation of the interpolation process, through which it is clear that interpolation is fundamentally a linear filtering process, is presented, An examination of the relative merits of finite duration impulse response (FIR) and infinite duration impulse response (IIR) digital filters as interpolation filters indicates that FIR filters are generally to be preferred for interpolation. It is shown that linear interpolation and classical polynomial interpolation correspond to the use of the FIR interpolation filter. The use of classical interpolation methods in signal processing applications is illustrated by a discussion of FIR interpolation filters derived from the Lagrange interpolation formula. The limitations of these filters lead us to a consideration of optimum FIR filters for interpolation that can be designed using linear programming techniques. Examples are presented to illustrate the significant improvements that are obtained using the optimum filters.     

Frequency response data-based peak filter design applied to MIMO large-scale high-precision scan stage

A large-scale high-precision scan stage is important equipment in the industrial productions of micro-fabrication such as flat panel display (FPD) lithography systems. Designing controllers for multi-input multi-output (MIMO) systems is time-consuming and needs experience because of the interaction between each axis and many controller tuning parameters. The aim of this study is to develop a peak filter design method based on frequency response data to reduce repetitive disturbance. This data-based approach does not use the model and only uses the frequency response data of the controlled system and the disturbance spectrum calculated from the scanning error data (Contribution 1). The peak filter is designed by convex optimization and satisfies robust stability conditions for six-degree-of-freedom systems (Contribution 2). The control performance of the designed peak filter is experimentally demonstrated with an industrial MIMO large-scale high-precision scan stage in reducing the scanning error of the main stroke of the translation along the $x$-axis (Contribution 3).     

Variable digital filter design using the outer product expansion

Digital filters with adjustable frequency domain characteristics are referred to as variable digital filters. Variable filters are useful in the applications where the filter characteristics are required to be changeable during the course of signal processing. Especially in real time applications, variable filters are needed to change their coefficients instantaneously such that the real time signal processing can be performed. The present paper proposes a very efficient technique for variable 1D digital filter design. Generally speaking, the variable coefficients of variable digital filters are multidimensional functions of a set of spectral parameters which define the desired frequency domain characteristics. The authors first sample the given variable 1D magnitude specification and use the samples to construct a multidimensional array, then propose an outer product expansion method for expanding the multidimensional array as the sum of outer products of 1D arrays (vectors). Based on the outer product expansion, one can reduce the difficult problem of designing a variable 1D digital filter to the easy one that only needs constant 1D filter designs and 1D polynomial approximations. The technique can obtain variable 1D filters having arbitrary desired magnitude characteristics with a high design accuracy     

FIR digital filter design techniques using weighted Chebyshev approximation

This paper discusses the various approaches to designing FIR digital filters using the theory of weighted Chebyshev approximation. The different design techniques are explained and compared on the basis of their capabilities and limitations. The relationships between filter parameters are briefly discussed for the case of low-pass filters. Extensions of the theory to the problems of magnitude and complex approximation are also included, as are some recent results on the design of two-dimensional FIR filters by transformation.     

New integer programming scheme for nonrecursive digital filter design

A new mixed-integer linear programming objective function for optimising an f.i.r. linear-phase digital filter is presented. In comparison with the conventional objective function, the new one has the advantages of reducing the number of delays and/or the coefficient wordlength.     

Optical notch filter design based on digital signal processing

Based on digital signal processing theory,a novel method of designing optical notch filter is proposed for Mach-Zehnder interferometer with cascaded optical fiber rings coupled structure.The method is simple and effective,and it can be used to implement the designing of the optical notch filter which has arbitrary number of notch points in one free spectrum range(FSR).A design example of notch filter based on cascaded single-fiber-rings is given.On this basis,an improved cascaded double-fiber-ri...     

High-performance active polyphase filter design for digital TV tuner

This paper presents the polyphase filter design for the tuner of DTV front-end system. The polyphase filter is designed with an active circuit to improve the chip performance. Most of passive capacitor and resistor components are replaced with MOS transistors. The proposed method not only can reduce the chip area but also gain the signal level. For the prototyping implementation, the current channel bands in Taiwan are referred, which the frequency range is from 530 to 602 MHz for DTV programs. In experiments, the polyphase filter can achieve 85 dB for the image rejection in the center frequency. The main signal can be gained about 2-5 dB without using extra amplifier. The chip size is about 0.09 mm², and the average power dissipation is about 15 mW, when the chip technology employed TSMC 0.35 μm CMOS process. The proposed chip outperforms with less area and higher gain.     

一种利用曲线拟合设计内插滤波器的新方法

与传统的从频域来设计内插滤波器的方法不同，本文从滤波器脉冲响应的方向入手，提出了一种利用曲线拟合设计性能较高的内插滤波器的新方法，从而克服了传统方法利用穷搜索寻找最佳系数花费时间过长的缺点。这种方法尤其适用于内插滤波器系数较多或者需要的精度较高的情况。     

Fuzzy optimization techniques applied to the design of a digital PMSM servo drive

This paper presents a novel design approach by applying gradient optimization with fuzzy step-sizing techniques to the design of a digital permanent magnet synchronous motor (PMSM) servo drive. The servo specifications and design variables are specified and analyzed to formulate a controller optimization problem. The servo responses are then fed back to evaluate the overall system performances, which can be expressed as objective functions with respect to the servo control parameters. According to the objective functions and design specifications, the servo control parameters can be properly tuned toward their optimal values by using the proposed optimization techniques. In order to improve the convergent rate of the optimization process, a fuzzy-logic based step-size tuning strategy is presented. Because of the nonlinear property of the digital servo drives, the tuned servo control parameters may be only optimal for a particular operating point, therefore, once the optimum design is achieved, the proposed fuzzy optimizing controller can perform as an intelligent tuner for on-line gain adaptation under different loading conditions. The proposed fuzzy optimization servo tuner has been realized under a PC-MATLAB-based environment with an on-line controlled digital PMSM servo drive. Simulation and experimental results indicate that the control parameters of a digital PMSM servo drive can be optimized for its dynamic responses under various load conditions.     

基于人工鱼群算法的IIR数字滤波器设计

将人工鱼群算法（AFSA）用于IIR数字滤波器设计，建立了相应的优化模型，给出了简化的人工鱼群算法及其实现步骤。最后，将该算法用于低通、带通IIR数字滤波器的设计，并与粒子群算法进行了比较。仿真结果证明了AFSA的有效性，并且具有算法灵活、简单，全局收敛性好。收敛速度快的优点。     

一种基于FPGA的分布式FIR数字滤波器设计

在宽带中频软件无线电台收发系统中,由于FIR滤波器具有良好的线性相位特性及实现的灵活性,通常将它作为数字上下变频中的整形低通滤波器.本设计采用altera公司的CycloneⅡ系列中的EP2C20Q240C8芯片,以一个8阶分布式算法的FIR低通数字滤波器电路为例,其主要通过LUT、加法器和移位寄存器实现.最后对该分布式算法进行了仿真验证.结果表明,该优化结构高效合理地利用FPGA硬件资源,可有效应用于高性能中频数字电台的信号处理模块.     

A novel nonnegative decomposition method and its application to 2-D digital filter design

In designing two-dimensional (2-D) digital filters in the frequency domain, an efficient technique is to first decompose the given 2-D frequency domain design specifications into one-dimensional (1-D) ones, and then approximate the resulting 1-D magnitude specifications using the well-developed 1-D filter design techniques. Finally, by interconnecting the designed 1-D filters one can obtain a 2-D digital filter. However, since the magnitude responses of digital filters must be nonnegative, it is required that the decomposition of 2-D magnitude specifications result in nonnegative 1-D magnitude specifications. We call such a decomposition the nonnegative decomposition. This paper proposes a nonnegative decomposition method for decomposing the given 2-D magnitude specifications into 1-D ones, and then transforms the problem of designing a 2-D digital filter into that of designing 1-D filters. Consequently, the original problem of designing a 2-D filter is significantly simplified.