一种基于多相滤波器的高速匹配滤波器方法

提出了一种基于多相滤波器的高速匹配滤波器方法,这种方法在滤波器多相分解和整数倍抽取的基础上进行数学推导,不对输入信号做任何处理,仅将多相滤波器组的系数和前后顺序略做调整,即可实现滤波后波形中任意采样点的抽取.不仅具有多相滤波降低运算速率的优点,而且在匹配滤波后不减少采样点的个数,提高后续处理的同步精度.该方法误差小,实现简单,在宽带通信系统中具有良好的应用前景.     

多相并行FIR滤波器的FPGA高速实现方法

L路多相并行FIR滤波器的工作速率是单路串行FIR滤波器的L倍,基于多项式分解的多相并行FIR滤波器实现结构简单、计算复杂度小、滤波运算延迟少;针对多相并行FIR滤波器,给出了基于多项式分解的多相并行FIR滤波器优化实现结构的FPGA高速实现方法。归纳、整理和推导了2路至8路基于多项式分解的多相并行滤波器优化实现结构,并针对FPGA实现的具体特点给出了多相并行滤波器优化实现结构的FPGA高速实现方法。通过测试分析可知,给出的基于多项式分解的多相并行FIR滤波器优化实现结构的FPGA高速实现方法能够在FPGA上高速实现多相并行FIR滤波器。     

一种应用于音频的DAC中插值滤波器的设计

设计了一种应用于24位音频DAC中实现128倍过采样的插值滤波器,该插值滤波器采用多级插值的方法,根据前后级采样速率不同的特点,选择不同的滤波器结构.采用一种基于CSD编码的方法来实现一种多相结构,这种多相结构不需要乘法器.该方法在减小了控制系统复杂性的同时也减小了芯片的面积.仿真结果表明,该插值滤波器的通带纹波和阻带衰减都达到了设计要求.     

内插FIR数字滤波器的多相实现

提出一种内插FIR数字滤波器基于多相结构的优化实现方法.利用多相结构各子滤波器的自身对称和镜像对称特性,复用加权求和单元,显著降低了实现复杂度.以384阶、4倍内插SRRC滤波器的FPGA实现为例.验证了所提多相结构优化实现方法的优越性.     

双/多基地综合脉冲孔径地波雷达的信道化接收技术研究

双/多基地综合脉冲孔径地波雷达在发射站为多载频信号同时辐射,在接收站综合形成发射方向图之前需要对各发射信号分量进行分离.尽管采用数字混频和低通滤波器组可以对各发射分量进行分离,但运算量太大,难以实时实现.为此提出采用多相滤波器组信道化接收技术,设计该雷达的多相滤波器组信道化接收机.这种多相滤波器组信道化接收机与低通滤波器组信道化接收相比,运算量减少N²倍(N为信道数).最后给出了该雷达试验系统的实测数据处理结果,验证了这种多相滤波器组信道化接收技术在该雷达信号处理中的有效性.     

基于提升方法的滤波器组因子分解

讨论了FIR滤波器组的分解.2通道完全重构FIR 子波变换分解可为有限步的提升步骤,使用Laurent多项式的辗转相除法给出了这种分解的一个代数方法的证明;证明了二通道子波变换的分解定理不能平行推广到2M通道滤波器组.提出使用M-通道滤波器组构造2M-通道滤波器组,它由多相矩阵的分块化和提升方法实现,这种方法易于构造非线性滤波器组,如整数变换.     

多相抽取滤波器的FPGA实现

信号的多相分解在多抽样率信号处理中有着重要的作用.介绍了多相分解的基本理论,结合FIR抽取滤波器的多相分解形式,用Verilog HDL语言来实现2倍抽取滤波器的多相结构,QuartusⅡ软件仿真输出波形,并且用MATLAB对仿真结果进行验证并作比较.结果正确,最后将编程数据文件下载到FPGA芯片上.多相抽取滤波器的设计方法是可行的,整个设计过程由软件实现,参数易于修改.     

具有近似线性相位特性的多相波数字滤波器的设计

不考虑相位失真,而要求满足比较苛刻的振幅特性的时候,和FIR滤波器比较起来,采用 IIR 滤波器,计算量要小很多.但对某些IIR滤波器,采取适当的方法,也可以使其相位失真变得很小.本文提出一种新的设计方法,用来设计振幅响应完全满足设计要求,而相位特性用Chebyshev 近似来实现的多相波数字滤波器.这种方法的关键在于确定通带中的若干衰减零点.文中对需要的最小衰减零点数作了估计.实例表明,用这种方法设计的滤波器,时延小,相位特性非常接近线性.     

高吞吐率任意倍内插滤波器设计

提出了一种高吞吐率用于任意倍内插的并行FARROW滤波器。在串行FARROW内插滤波器的基础上,通过数学推导得出了基于多相分解的并行FARROW内插滤波器。该滤波器由并行FIR滤波器、多输入多输出选择器、累加器和乘加器构成,详细讨论了这些模块在FPGA上的实现方法。仿真试验表明:该并行结构滤波器能够在低时钟速率下提供高吞吐率的任意小数或整数倍内插,实现灵活的采样率变换。     

匹配滤波器的FPGA实现

本文介绍了匹配滤波器在直接序列扩频通信系统的同步捕获中的应用,研究了数字匹配滤波器的实现方法,提出了基于多相分解的实现结构.与传统的直接实现形式和折叠滤波器等改进形式相比,多相形式具有节省存储空间的优点.     

Polyphase Conditions and Structures for 2-D Quincunx FIR Filter Banks Having Quadrantal or Diagonal Symmetries

In this brief, we derive conditions on the polyphase matrix of 2-D finite-impulse response (FIR) quincunx filter banks, for the filters in the filter bank to have quadrantal or diagonal symmetry. These conditions provide a framework for synthesizing polyphase structures which structurally enforce the symmetry. This is demonstrated by constructing examples of small parameterized matrix structures which satisfy the above conditions, thus giving perfect reconstruction FIR quincunx filter banks with quadrantal or diagonally symmetric short-kernel (i.e., short-support) filters. It is also shown that cascades of the above constructed small structures can be used to construct filters of higher order.     

An improved design method based on polyphase components for digital FIR filters

This paper presents an efficient design of digital finite impulse response (FIR) filter, based on polyphase components and swarm optimisation techniques (SOTs). For this purpose, the design problem is formulated as mean square error between the actual response and ideal response in frequency domain using polyphase components of a prototype filter. To achieve more precise frequency response at some specified frequency, fractional derivative constraints (FDCs) have been applied, and optimal FDCs are computed using SOTs such as cuckoo search and modified cuckoo search algorithms. A comparative study of well-proved swarm optimisation, called particle swarm optimisation and artificial bee colony algorithm is made. The excellence of proposed method is evaluated using several important attributes of a filter. Comparative study evidences the excellence of proposed method for effective design of FIR filter.     

Two-channel IIR QMF banks with approximately linear-phase analysisand synthesis filters

Perfect linear-phase two-channel QMF banks require the use of finite impulse response (FIR) analysis and synthesis filters. Although they are less expensive and yield superior stopband characteristics, perfect linear phase cannot be achieved with stable infinite impulse response (IIR) filters. Thus, IIR designs usually incorporate a postprocessing equalizer that is optimized to reduce the phase distortion of the entire filter bank. However, the analysis and synthesis filters of such an IIR filter bank are not linear phase. In this paper, a computationally simple method to obtain IIR analysis and synthesis filters that possess negligible phase distortion is presented. The method is based on first applying the balanced reduction procedure to obtain nearly allpass IIR polyphase components and then approximating these with perfect allpass IIR polyphase components. The resulting IIR designs already have only negligible phase distortion. However, if required, further improvement may be achieved through optimization of the filter parameters. For this purpose, a suitable objective function is presented. Bounds for the magnitude and phase errors of the designs are also derived. Design examples indicate that the derived IIR filter banks are more efficient in terms of computational complexity than the FIR prototypes and perfect reconstruction FIR filter banks. Although the PR FIR filter banks when implemented with the one-multiplier lattice structure and IIR filter banks are comparable in terms of computational complexity, the former is very sensitive to coefficient quantization effects     

Restoring Coefficient Symmetry in Polyphase Implementation of Linear-Phase FIR Filters

Polyphase implementation of FIR filters effectively reduces the multiplication rate and data storage in a multirate system. However, the coefficients of the polyphase components are no longer symmetric even though the overall filter has a symmetric (or anti-symmetric) impulse response. In this paper, we introduce a new technique that recasts pairs of the original polyphase components as sums or differences of auxiliary pairs of symmetric and anti-symmetric impulse response filters. The coefficient symmetry of these auxiliary polyphase components can be fully exploited to reduce arithmetic complexity without undue complications. Our new technique makes use of the fact that the impulse responses of the non-symmetric polyphase components exist in time-reversed pairs which can be synthesized from pairs of symmetric and anti-symmetric impulse response filters. This results in a factor-of-two reduction in the number of multipliers required to implement the polyphase components.     

Implementation and perfect reconstruction of a maximally decimatedFIR filter bank using parallel module decomposition

This paper discusses an implementation and the perfect reconstruction (PR) of an M-channel maximally decimated FIR fitter bank. Using the polynomial module arithmetics, the filter bank is decomposed into a set of module filter banks of size M, independent of the filter length. When the filter bank is uniform, the computational cost is the same as the polyphase/FFT implementation. When it is not uniform, in which case the polyphase/FFT implementation is not applicable, the computational cost is still reduced by sharing among channel filtering computations. The parallel module configuration is favorable for hardware implementation because decomposing a large system into small subsystems is generally advantageous for many realizations. The PR analysis is greatly simplified by working on the module filter banks as well     

基于FPGA的数字化正交解调接收机最优设计

结合抽取滤波器的多项滤波结构,在一定条件下,推导出了一种含抽取正交解调接收机最优结构设计方法。在FPGA乘法器资源相同的条件下,采用最优结构设计的接收机内部FIR滤波器阶数比直接实现形式高了近4倍。最后给出了设计实例。     

Beamforming of Broad-Band Bandpass Plane Waves Using Polyphase 2-D FIR Trapezoidal Filters

A new discrete-domain method is proposed for the beamforming of temporally broad-band bandpass plane waves (PWs) using a real-coefficient 2-D spatio-temporal (ST) finite-impulse response (FIR) filter having a novel rectangularly symmetric double-trapezoidal-shaped passband. The arriving temporally broad-band-bandpass ST PWs are received by a 1-D uniformly distributed sensor array. The sensor signals are pre-filtered, down-shifted to the intermediate frequency (IF) band, low-pass filtered and synchronously sampled by the real IF tri-stage temporal sampler array, resulting in a real-valued 2-D sampled sequence. The beamforming operation is then carried out on this 2-D sampled sequence using the real-coefficient 2-D FIR double-trapezoidal filter. Arithmetic complexity in the hardware implementation of the 2-D FIR double-trapezoidal filter is significantly reduced by using an array of real-coefficient polyphase 1-D FIR filters. Experimental results have confirmed that this method is capable of enhancing the desired temporally broad-band-bandpass ST PWs according to their directions of arrival under severe co-channel interference.