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基于加权最小二乘的稀疏FIR滤波器设计方法
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作者 庄陵 宋诗苇 刘莹 《华南理工大学学报(自然科学版)》 北大核心 2025年第1期84-91,共8页
大规模通信系统的发展对传统滤波器设计提出了更高的要求,稀疏有限脉冲响应(FIR)滤波器具有低计算复杂度与低实现成本的特点,但常规凸松弛近似设计方法会产生额外的逼近误差,稀疏性也不理想,并且求解过程复杂。针对FIR滤波器在设计中由... 大规模通信系统的发展对传统滤波器设计提出了更高的要求,稀疏有限脉冲响应(FIR)滤波器具有低计算复杂度与低实现成本的特点,但常规凸松弛近似设计方法会产生额外的逼近误差,稀疏性也不理想,并且求解过程复杂。针对FIR滤波器在设计中由于乘法器个数多而导致实现成本高的问题,该文提出了一种基于加权最小二乘准则的稀疏FIR滤波器设计方法。首先,根据不同范数性质对初始稀疏表示的L0范数进行替换,即对目标函数进行改进,从而在保持稀疏性的基础上,解决非凸函数难以直接求解的问题;然后,将目标问题转化为2个凸子问题差的形式,根据迭代规则构造形式更为简单的子问题,采用交替求解方法求解子问题,以进一步提高求解效率并降低求解复杂度;最后,在确定0系数的位置后,通过求解一个加权最小二乘问题来进一步减小近似误差。仿真实验结果显示:与已有的稀疏滤波器求解方法相比,所提方法能够提高FIR滤波器的系数稀疏性,降低乘法器个数,并且在稀疏性增强的情况下获得较为折中的均方根误差与最大误差,同时计算机求解时间更少,求解效率更高。 展开更多
关键词 滤波器 设计方法 有限脉冲响应 加权最小二乘
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Design of complex FIR filters with arbitrary magnitude and group delay responses 被引量:1
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作者 Wang Xiaohua He Yigang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2009年第5期942-947,共6页
To design approximately linear-phase complex coefficient finite impulse response (FIR) digital filters with arbitrary magnitude and group delay responses, a novel neural network approach is studied. The approach is ... To design approximately linear-phase complex coefficient finite impulse response (FIR) digital filters with arbitrary magnitude and group delay responses, a novel neural network approach is studied. The approach is based on a batch back-propagation neural network algorithm by directly minimizing the real magnitude error and phase error from the linear-phase to obtain the filter's coefficients. The approach can deal with both the real and complex coefficient FIR digital filters design problems. The main advantage of the proposed design method is the significant reduction in the group delay error. The effectiveness of the proposed method is illustrated with two optimal design examples. 展开更多
关键词 signal processing digital filter neural network complex coefficient filter optimal design finite impulse response.
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基于MATLAB的FIR数字滤波器设计分析
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作者 贺雪莉 《铁路计算机应用》 2025年第3期75-81,共7页
文章主要研究基于MATLAB实现有限长单位脉冲响应(FIR,Finite Impulse Response)数字滤波器的设计方法,分别从时域和频域两方面对窗函数法和频域采样法进行详细描述,并通过类比两种设计方法的仿真结果,总结其优缺点,可为实际滤波器设计... 文章主要研究基于MATLAB实现有限长单位脉冲响应(FIR,Finite Impulse Response)数字滤波器的设计方法,分别从时域和频域两方面对窗函数法和频域采样法进行详细描述,并通过类比两种设计方法的仿真结果,总结其优缺点,可为实际滤波器设计方法的选择提供理论支撑。 展开更多
关键词 有限长单位脉冲响应(fir) 数字滤波器 MATLAB 窗函数法 频域采样法
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FPGA-Based Efficient Programmable Polyphase FIR Filter 被引量:3
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作者 陈禾 熊承欢 +1 位作者 仲顺安 王华 《Journal of Beijing Institute of Technology》 EI CAS 2005年第1期4-8,共5页
The modelling, design and implementation of a high-speed programmable polyphase finite impulse response (FIR) filter with field programmable gate array (FPGA) technology are described. This FIR filter can run automati... The modelling, design and implementation of a high-speed programmable polyphase finite impulse response (FIR) filter with field programmable gate array (FPGA) technology are described. This FIR filter can run automatically according to the programmable configuration word including symmetry/asymmetry, odd/even taps, from 32 taps up to 256 taps. The filter with 12 bit signal and 12 bit coefficient word-length has been realized on a Xilinx VirtexⅡ-v1500 device and operates at the maximum sampling frequency of (160 MHz.) 展开更多
关键词 finite impulse response (fir) filter POLYPHASE field programmable gate array (FPGA)
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A Fusion Kalman Filter and UFIR Estimator Using the Influence Function Method 被引量:3
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作者 Wei Xue Xiaoli Luan +1 位作者 Shunyi Zhao Fei Liu 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2022年第4期709-718,共10页
In this paper,the Kalman filter(KF)and the unbiased finite impulse response(UFIR)filter are fused in the discrete-time state-space to improve robustness against uncertainties.To avoid the problem where fusion filters ... In this paper,the Kalman filter(KF)and the unbiased finite impulse response(UFIR)filter are fused in the discrete-time state-space to improve robustness against uncertainties.To avoid the problem where fusion filters may give up some advantages of UFIR filters by fusing based on noise statistics,we attempt to find a way to fuse without using noise statistics.The fusion filtering algorithm is derived using the influence function that provides a quantified measure for disturbances on the resulting filtering outputs and is termed as an influence finite impulse response(IFIR)filter.The main advantage of the proposed method is that the noise statistics of process noise and measurement noise are no longer required in the fusion process,showing that a critical feature of the UFIR filter is inherited.One numerical example and a practice-oriented case are given to illustrate the effectiveness of the proposed method.It is shown that the IFIR filter has adaptive performance and can automatically switch from the Kalman estimate to the UFIR estimates according to operating conditions.Moreover,the proposed method can reduce the effects of optimal horizon length on the UFIR estimate and can give the state estimates of best accuracy among all the compared methods. 展开更多
关键词 Fusion filter influence function Kalman filter(KF) ROBUSTNESS unbiased finite impulse response(fir)
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Design of Computationally Efficient Sharp FIR Filter Utilizing Modified Multistage FRM Technique for Wireless Communications Systems 被引量:1
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作者 Tirthadip Sinha Jaydeb Bhaumik 《Journal of Electronic Science and Technology》 CAS CSCD 2019年第2期185-192,共8页
Modern wireless communications gadgets demand multi-standard communications facilities with least overlap between different input radio channels. A sharp digital filter of extremely narrow transition-width with lower ... Modern wireless communications gadgets demand multi-standard communications facilities with least overlap between different input radio channels. A sharp digital filter of extremely narrow transition-width with lower stop band ripples offers alias-free switching among the preferred frequency bands. A computationally competent low pass filter (LPF) structure based on the multistage frequency response masking (FRM) approach is proposed for the design of sharp finite impulse response (FIR) filters which are suitable for wireless communications applications. In comparison of basic FRM with other existing multistage FRM structures, the proposed structure has a narrow transition bandwidth and higher stop band attenuation with significant reduction in terms of the number of computational steps. A design example is incorporated to demonstrate the efficiency of the proposed approach. Simulation results establish the improvement of the proposed scheme over other recently published design strategies. 展开更多
关键词 MULTISTAGE frequency response MASKING narrow transition-width SHARP finite impulse response filter wireless communications
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AN ITERATIVE ALGORITHM FOR OPTIMAL DESIGN OF NON-FREQUENCY-SELECTIVE FIR DIGITAL FILTERS 被引量:1
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作者 Tian Xinguang Duan Miyi +1 位作者 Sun Chunlai Liu Xin 《Journal of Electronics(China)》 2008年第5期667-672,共6页
This paper proposes a novel iterative algorithm for optimal design of non-frequency-selective Finite Impulse Response(FIR) digital filters based on the windowing method.Different from the traditional optimization conc... This paper proposes a novel iterative algorithm for optimal design of non-frequency-selective Finite Impulse Response(FIR) digital filters based on the windowing method.Different from the traditional optimization concept of adjusting the window or the filter order in the windowing design of an FIR digital filter,the key idea of the algorithm is minimizing the approximation error by succes-sively modifying the design result through an iterative procedure under the condition of a fixed window length.In the iterative procedure,the known deviation of the designed frequency response in each iteration from the ideal frequency response is used as a reference for the next iteration.Because the approximation error can be specified variably,the algorithm is applicable for the design of FIR digital filters with different technical requirements in the frequency domain.A design example is employed to illustrate the efficiency of the algorithm. 展开更多
关键词 finite impulse response fir digital filters Optimal design Windowing method Approximation error Iterative algorithm
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Digital FIR filter design for bio-signal processing system
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作者 Woojin Nam Guang Yang Seongsoo Lee 《Journal of Measurement Science and Instrumentation》 CAS 2013年第1期94-96,共3页
Recently,real-time processing systems for bio-signal of the muscles generated by the movement of the user have been developed.Finite impulse response(FIR)filter for bio-signal processing in bio-signal process systems ... Recently,real-time processing systems for bio-signal of the muscles generated by the movement of the user have been developed.Finite impulse response(FIR)filter for bio-signal processing in bio-signal process systems is composed of multiple multiplier and adder of high-area.This makes the chip area increase significantly.To solve this problem,a low-area digital FIR filter is proposed in this paper,which can reduce the chip area. 展开更多
关键词 low area digital finite impulse response(fir)filter bio-signal processing
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Area and Speed Efficient Implementation of Symmetric FIR Digital Filter through Reduced Parallel LUT Decomposed DA Approach 被引量:1
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作者 S. C. Prasanna S. P. Joy Vasantha Rani 《Circuits and Systems》 2016年第8期1379-1391,共13页
This brief proposes an area and speed efficient implementation of symmetric finite impulse response (FIR) digital filter using reduced parallel look-up table (LUT) distributed arithmetic (DA) based approach. The compl... This brief proposes an area and speed efficient implementation of symmetric finite impulse response (FIR) digital filter using reduced parallel look-up table (LUT) distributed arithmetic (DA) based approach. The complexity lying in the realization of FIR filter is dominated by the multiplier structure. This complexity grows further with filter order, which results in increased area, power, and reduced speed of operation. The speed of operation is improved over multiply-accumulate approach using multiplier less conventional DA based design and decomposed DA based design. Both the structure requires B clock cycles to get the filter output for the input width of B, which limits the speed of DA structure. This limitation is addressed using parallel LUTs, called high speed DA FIR, at the expense of additional hardware cost. With large number of taps, the number of LUTs and its size also becomes large. In the proposed method, by exploiting coefficient symmetry property, the number of LUTs in the decomposed DA form is reduced by a factor of about 2. This proposed approach is applied in high speed DA based FIR design, to obtain area and speed efficient structure. The proposed design offers around 40% less area and 53.98% less slice-delay product (SDP) than the high throughput DA based structure when it’s implemented over Xilinx Virtex-5 FPGA device-XC5VSX95T-1FF1136 for 16-tap symmetric FIR filter. The proposed design on the same FPGA device, supports up to 607 MHz input sampling frequency, and offers 60.5% more speed and 67.71% less SDP than the systolic DA based design. 展开更多
关键词 Distributed Arithmetic Field Programmable Gate Array (FPGA) finite-impulse response (fir) filter High Speed Reduced Look-Up Table (LUT)
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Continuously Variable Bandwidth Sharp FIR Filters with Low Complexity
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作者 James T. George Elizabeth Elias 《Journal of Signal and Information Processing》 2012年第3期308-315,共8页
In software defined radio (SDR), sharp filters of different bandwidth are required to fine tune the desired channel. This requires different computational resources and large number of filter coefficients. This paper ... In software defined radio (SDR), sharp filters of different bandwidth are required to fine tune the desired channel. This requires different computational resources and large number of filter coefficients. This paper proposes a continuously variable bandwidth sharp finite impulse response (FIR) filter with low distortion and low complexity. For this, a fixed length FIR filter is used with two arbitrary sampling rate converters. This system can be used for both the continuous increase as well as decrease of the effective bandwidth of a filter. The low complexity and sharpness are achieved by using the frequency-response masking (FRM) approach for the design of the fixed length FIR filter. The sharp transition width leads to maximum rejection to channel interference in SDR. 展开更多
关键词 Variable Bandwidth filter FREQUENCY-response MASKING Low Complexity finite impulse response filter Re-Sampling
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High-Performance FIR Filter Implementation Using Anurupye Vedic Multiplier
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作者 S. Jayakumar Dr. A. Sumathi 《Circuits and Systems》 2016年第11期3723-3733,共12页
In this, today’s world immeasurable analysis goes within the field of communication and signal processing applications. The FIR filter is mostly employed in filtering applications to enhance the quality of the signal... In this, today’s world immeasurable analysis goes within the field of communication and signal processing applications. The FIR filter is mostly employed in filtering applications to enhance the quality of the signal. In any processor, the performance of the system is based on the speed of the multiplier unit involved in its operation. Since multiplier forms the indispensable building blocks of the FIR filter system. Its performance has contributed in determining the execution of the FIR filter system. Also, due to the tremendous development in the technology, many approaches such as an array, Vedic methods are made to speed up the multiplier computations. The problem in speed-up operation and resource utilization of hardware with all the conventional methods due to the critical path found in partial products has to be optimized using proposed method. This paper presents the implementation and execution of a FIR Filter design using Anurupye multiplier. Here the FIR filter is examined by using various multiplier algorithms such as Anurupye, Urdhava Tiryagbhyam, and array multipliers. The FIR filter is simulated for analyzing delay;area and power are meted out and lessened by utilizing proposed Anurupye multiplier. The FIR filter design utilizing proposed multiplier offers delay around 18.99 and only 4% of LUT slice utilization compared to existing methods. This architecture is coded in VHDL, simulated using the ModelSim and synthesized with Xilinx. 展开更多
关键词 finite impulse response (fir) filter Urdhava Triyagbhyam Anurupye Vedic Multiplier Very High-Speed Hardware Description Language (VHDL)
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基于FIR-MSMA的配电网测频算法
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作者 张明帅 郭志全 +3 位作者 夏炜 李波 唐旭明 王莹康 《分布式能源》 2024年第1期72-79,共8页
针对配电网中含有谐波、带外干扰及其他严重干扰的同步相量测量问题,提出一种基于有限冲击响应滤波器和M类同步相量测量算法(finite impulse response-M synchrophasor measurement algorithm, FIR-MSMA)相结合的配电网测频算法。该方... 针对配电网中含有谐波、带外干扰及其他严重干扰的同步相量测量问题,提出一种基于有限冲击响应滤波器和M类同步相量测量算法(finite impulse response-M synchrophasor measurement algorithm, FIR-MSMA)相结合的配电网测频算法。该方法利用最小二乘法设计出FIR-1滤波器提取低频信号,在此基础上利用设计的FIR-2滤波器实现频率测量的目的,并分析2种滤波器参数设定的原则。利用Matlab软件编制算法仿真程序,验证所提算法的动态测量性能。结果表明,相比于基于离散傅里叶变换的算法和基于滑动平均滤波器的算法,基于FIR-MSMA的算法具有更强的抗干扰能力和更高的测量精度。 展开更多
关键词 配电网 同步测量单位 频率测量 有限冲激响应滤波器 频率误差
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航空重力数据窗函数法FIR低通数字滤波试验 被引量:26
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作者 郭志宏 罗锋 安战锋 《物探与化探》 CAS CSCD 2007年第6期568-571,576,共5页
采用窗函数法FIR低通数字滤波方法,对GT-1A型航空重力系统的测量数据进行了滤波试验研究,获得了一些有意义的结果。试验结果表明,通过选择合适窗形、窗口长度和滤波参数,窗函数法FIR低通数字滤波器是可以在航空重力数据的低通数字滤波... 采用窗函数法FIR低通数字滤波方法,对GT-1A型航空重力系统的测量数据进行了滤波试验研究,获得了一些有意义的结果。试验结果表明,通过选择合适窗形、窗口长度和滤波参数,窗函数法FIR低通数字滤波器是可以在航空重力数据的低通数字滤波处理中发挥应有的作用,获得满意的效果。 展开更多
关键词 航空重力 窗函数法 fir(finite impulse response) 低通数字滤波
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基于广义FIR滤波器的电力设备有源噪声控制 被引量:16
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作者 刘姜涛 刘震宇 +1 位作者 应黎明 李靖 《电网技术》 EI CSCD 北大核心 2012年第6期250-255,共6页
针对电力系统设备噪声问题,探讨有源噪声控制的设计方法 ,提出基于广义有限脉冲响应(finite impulse response,FIR)滤波器优化的有源噪声前馈控制算法,同时给出了信号检测传感器的布放方案,并通过误差传感器评价噪声控制的效果。采集了... 针对电力系统设备噪声问题,探讨有源噪声控制的设计方法 ,提出基于广义有限脉冲响应(finite impulse response,FIR)滤波器优化的有源噪声前馈控制算法,同时给出了信号检测传感器的布放方案,并通过误差传感器评价噪声控制的效果。采集了2组电力设备的噪声作为初级声源,并进行有源降噪的仿真,仿真结果显示,频率为50、100和200 Hz的低频噪声成分被降低了12~18 dB,可见,利用有源噪声控制技术实现电力系统设备低频噪声的控制是一种有效的途径。 展开更多
关键词 有源噪声控制 前馈控制 参数估计 广义有限脉 冲响应滤波器 电力设备
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胚胎型在线自修复FIR滤波器研究 被引量:12
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作者 王南天 钱彦岭 +2 位作者 李岳 卓清琪 李廷鹏 《仪器仪表学报》 EI CAS CSCD 北大核心 2012年第6期1385-1391,共7页
胚胎电子阵列是受多细胞生物体自修复机制启发,具有在线自修复能力的新型电路。在介绍胚胎电子阵列基本原理的基础上,根据FIR(finite impulse response)滤波器的结构特征,提出一种适用于FIR滤波器的胚胎电子阵列细胞结构,并基于该细胞... 胚胎电子阵列是受多细胞生物体自修复机制启发,具有在线自修复能力的新型电路。在介绍胚胎电子阵列基本原理的基础上,根据FIR(finite impulse response)滤波器的结构特征,提出一种适用于FIR滤波器的胚胎电子阵列细胞结构,并基于该细胞结构设计了具有快速在线自修复能力的胚胎型FIR滤波器。最后通过实例验证了其滤波功能与在线自修复能力。 展开更多
关键词 胚胎型仿生 fir滤波器 在线自修复
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支持任意系数长度和数据类型的FIR滤波器向量化方法 被引量:7
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作者 刘仲 陈跃跃 陈海燕 《电子学报》 EI CAS CSCD 北大核心 2013年第2期346-351,共6页
向量处理器的向量化算法映射是难点问题.提出一种支持任意系数长度和数据类型的FIR滤波器向量化方法,将(Finite Impulse Response)滤波器的卷积计算划分为系数长度步向量乘法和加法计算,每一步的向量乘法和加法计算在各个向量处理单元... 向量处理器的向量化算法映射是难点问题.提出一种支持任意系数长度和数据类型的FIR滤波器向量化方法,将(Finite Impulse Response)滤波器的卷积计算划分为系数长度步向量乘法和加法计算,每一步的向量乘法和加法计算在各个向量处理单元上并行执行,计算一个输出结果的所有乘法和加法计算都在同一向量处理单元上完成,每次循环能够同时完成向量处理单元数量个输出结果的计算.在向量处理器YHFT-Matrix的实验结果表明,该向量化FIR滤波器能够取得高效的计算性能和加速比. 展开更多
关键词 fir滤波器 向量化 向量处理器
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航空重力数据的等波纹FIR低通滤波试验 被引量:10
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作者 罗锋 郭志宏 +1 位作者 骆遥 王明 《物探与化探》 CAS CSCD 2012年第5期856-860,共5页
为解决航空重力测量中的核心技术之一——强噪声背景下提取微弱重力异常信号的问题,根据等波纹切比雪夫逼近理论,采用瑞米兹(Remez)交换算法设计等波纹线性相位FIR低通滤波器,利用模型数据对该方法进行了验证,并通过GT-1A型航空重力系... 为解决航空重力测量中的核心技术之一——强噪声背景下提取微弱重力异常信号的问题,根据等波纹切比雪夫逼近理论,采用瑞米兹(Remez)交换算法设计等波纹线性相位FIR低通滤波器,利用模型数据对该方法进行了验证,并通过GT-1A型航空重力系统测量数据进行滤波试验。结果表明,基于Remez交换算法设计等波纹线性相位FIR低通滤波器,在自由空气重力异常获取的滤波试验中,能获得与GT-1A系统卡尔曼平滑滤波相同的效果。 展开更多
关键词 航空重力 等波纹 fir低通滤波
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高速并行FIR滤波器的FPGA实现 被引量:24
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作者 张维良 张彧 +1 位作者 杨再初 杨知行 《系统工程与电子技术》 EI CSCD 北大核心 2009年第8期1819-1822,共4页
提出了一种基于多相滤波器的并行有限脉冲响应(finite impulse response,FIR)滤波器结构,可以有效提高滤波器运算的吞吐率,与传统的串行滤波器结构比,并行滤波器运算速度可以提高L倍,其中L为并行的路数,并且运算延迟小。首先从理论上分... 提出了一种基于多相滤波器的并行有限脉冲响应(finite impulse response,FIR)滤波器结构,可以有效提高滤波器运算的吞吐率,与传统的串行滤波器结构比,并行滤波器运算速度可以提高L倍,其中L为并行的路数,并且运算延迟小。首先从理论上分析了基于多相滤波器的并行滤波原理,并以八路并行为例,对FIR滤波运算做了浮点仿真验证。然后用经典符号数表示以及优化定点滤波器系数,并针对滤波器系数设计了流水线结构。最后在Altera的Stratix II系列芯片上实现了定点并行滤波器。可编程逻辑阵列(field programmable gatearray,FPGA)编译以及下载测试结果表明,该滤波器仅占用少量的资源,其等效吞吐率可以达到2 GHz。 展开更多
关键词 可编程逻辑阵列 有限脉冲响应滤波器 多相滤波器 经典符号数
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一种改进的FIR数字滤波器自适应设计方法 被引量:17
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作者 杨益新 孙超 《西北工业大学学报》 EI CAS CSCD 北大核心 2002年第4期554-558,共5页
提出了一种迭代算法 ,在 FIR数字滤波器的自适应设计过程中自动改变各个频率指标上代价因子的值 ,最终实现代价因子的最优取值。利用这种改进方法 ,可以实现 FIR数字滤波器和设计指标之间的最佳拟合。给出了两个设计实例 ,其中幅度响应... 提出了一种迭代算法 ,在 FIR数字滤波器的自适应设计过程中自动改变各个频率指标上代价因子的值 ,最终实现代价因子的最优取值。利用这种改进方法 ,可以实现 FIR数字滤波器和设计指标之间的最佳拟合。给出了两个设计实例 ,其中幅度响应每倍频程衰减 6 d B的滤波器 ,可以用于模拟水声阵列接收的宽带海洋噪声 ,而高精度时延的滤波器 ,则可以实现波束形成中所需要的非整数倍采样间隔的时延。 展开更多
关键词 fir数字滤波器 自适应设计 代价因子 宽带海洋噪声 高精度时延 迭代算法 有限冲击响应
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一种基于FPGA的高效FIR滤波器的设计与实现 被引量:16
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作者 蒋立平 谭雪琴 王建新 《南京理工大学学报》 EI CAS CSCD 北大核心 2007年第1期125-128,共4页
该文在介绍有限冲激响应(FIR)数字滤波器理论及常见实现方法的基础上,提出了一种基于FPGA的高效实现方案。该方案采用对称结构、加法和移位代替乘法运算、优化的CSD编码、流水线和级联技术等方面对传统的设计方法进行了改进,并借助FPGA... 该文在介绍有限冲激响应(FIR)数字滤波器理论及常见实现方法的基础上,提出了一种基于FPGA的高效实现方案。该方案采用对称结构、加法和移位代替乘法运算、优化的CSD编码、流水线和级联技术等方面对传统的设计方法进行了改进,并借助FPGA滤波器芯片和Qu-artusⅡ软件、Matlab软件对该方案进行了仿真验证。仿真实验结果表明:此种FIR滤波器的实现方法运算速度快、实时性好、节省硬件资源,其性能优于传统的FIR滤波器设计方法。 展开更多
关键词 有限冲激响应 现场可编程门阵列 正则有符号数字量 滤波器
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