基于SαS分布的高斯化处理研究

针对非高斯背景干扰下的弱信号检测需求,在综述高斯化处理与扩展匹配滤波概念及思路的基础上,该文提出了两种基于对称α稳定分布建模的高斯化处理方法,构建了相应的扩展匹配滤波检测器,并对比早先建立的混合高斯分布下的高斯化处理,对其高斯化效果、对应检测性能、运行速度等进行了仿真研究。研究表明,高斯化处理可以降低背景干扰的非高斯性,从而提高后续匹配滤波的检测性能;基于对称α稳定分布的高斯化处理,在保持性能的同时,具有更高的运行效率。     

Generalized symmetric extension for size-limited multirate filterbanks

A multirate (MR) filter bank is called size-limited if the total number of output samples equals the number of input samples. A method called symmetric extension improved performance in subband image compression systems compared to the earlier method of circular convolution. However, the symmetric extension method was developed only for two-band uniform filter banks, and required even-length linear phase analysis filters. The authors generalize the symmetric extension method to the M-band, possibly nonuniform filter banks, where M=/>2. The length restriction on the analysis filters is relaxed.     

Analysis, design, and implementation of two-channel linear-phasefilter banks: a new approach

The problem of designing two-channel perfect-reconstruction FIR filter banks with linear-phase analysis and synthesis filters is revisited. Based on a new algebraic formulation, all the possible factorized forms for this two-band filter bank are derived. We thus obtain complete and canonical solutions for the filter banks, composed of odd-order symmetric and antisymmetric filters (type-A systems) and for those built with symmetric even order filters (type-B systems). A strong characteristic of these new cascade structures, which, until now, had not been identified, is related to a defectivity property. Taking this into account is the key issue to cover all the FIR solutions and to design cascade structures being robust to the quantization of their parameters. Design examples are provided that illustrate our method     

Symmetric tight frame wavelets with dilation factor M=4

In this paper we discuss a new set of symmetric tight frame wavelets with the associated filterbank outputs downsampled by four at each stage. The frames consist of seven generators obtained from the lowpass filter using spectral factorization, with the lowpass filter obtained via a simple method using Taylor polynomials. The filters are simple to construct, and offer smooth scaling functions and wavelets. Additionally, the filterbanks presented in this paper have limited redundancy while maintaining the smoothness of underlying limit functions. The filters are linear phase (symmetric), FIR, and the resulting wavelets possess vanishing moments.     

Co-design method for dual-band low-noise amplifier and band-pass filter

A simple method for the design of two-dimensional circularly symmetric recursive digital filters is presented. This method makes use of a one-dimensional analogue filter and an additional zero-phase polynomial in the numerator to approximate a desired magnitude response. The number of coefficients required to be optimized is reduced and the stability of the filter can be guaranteed. Generally, moderately precise filters can be obtained using this design method.     

Design of FIR filters with reduced computations

The performance of a symmetric nonrecursive filter can be improved by multiple use of the same filter. The method is based on an Amplitude Change Function (ACF). An approach to the design of nonrecursive filters using an ACF is discussed in this paper. The prototype filter chosen is a Recursive Running Sum (RRS) filter which does not require any multipliers for its implementation. The required filter specifications are met by multiple use of the RRS filters. The overall filter requires a much smaller number of multiplications and adders than the one designed using the conventional method. It is shown that this method provides reduced noise due to coefficient quantization and product quantization compared with the conventional design technique.     

电磁干扰滤波器的参数及其测试

EMI滤波器作为抑制电磁干扰的最有力的手段,日益为人们所了解和广泛使用。对EMI滤波器的理解、应用及测试技术的掌握就变得十分重要。文章介绍EMC常用组件,讨论常用的滤波器的分类及选择,重点介绍EMI滤波器的测试指标和标准,分析EMI滤波器的测试方法.     

一种稀疏重建的天波雷达射频干扰抑制算法

天波雷达工作频段通常有大量的射频干扰,严重影响了雷达探测。目前最有效的射频干扰抑制方法主要是基于相似约束的方法,其本质是在匹配滤波器上叠加一个抑制射频干扰的窄带滤波器。基于窄带滤波器稀疏特性,提出了一种稀疏约束的射频干扰抑制方法,对窄带滤波器施加稀疏性约束并加大对稀疏项的惩罚,在保证匹配滤波器效果的同时更加有效抑制干扰。该方法首先将滤波器分解为匹配滤波滤波器和窄带滤波器,然后对窄带滤波器施加稀疏约束,基于此构建一个稀疏约束的非凸优化问题。最后,提出一种低计算复杂度的交替性自适应迭代算法求解该非凸优化问题。仿真和实测数据处理结果表明,所提方法的输出信干噪比较相似约束算法提高了1 dB以上,有效地提高了射频干扰抑制性能。     

Design of Variable Two-Dimensional FIR Digital Filters by McClellan Transformation

In this paper, the technique of McClellan transformation is applied to design variable 2-D FIR digital filters. Compared with the conventional transformation, the 2-D transformation subfilter and the 1-D prototype filter are designed such that their frequency characteristics are adjustable. Moreover, they are tunable by the same variable parameter, so the variable characteristics of 1-D prototype filters are coincident with those of 2-D subfilters. Several examples, including variable fan filters, variable circularly symmetric filters, and variable elliptically symmetric filters with arbitrary orientation, are presented to demonstrate the effectiveness and the flexibility of the presented method.      

Effects of reconstruction filters in digital predistortionlinearizers for RF power amplifiers

The reconstruction filters are a major source of error in digital predistortion linearizers for RF power amplifiers. This paper presents a method that enables these filters to be designed for lowest filter complexity and minimum degradation of the linearizer performance. Furthermore, a method to choose an appropriate sampling rate for the predistorter is presented. Different filter approximations and orders are examined for different amplifier configurations by means of simulation. Of the filters tried, low-ripple Chebyshev and Butterworth filters perform best. It is demonstrated that it is possible to account for reasonable filter misalignment with only a small degradation in performance. It is also shown that the effect on the modulation is small with respect to intersymbol interference     

New perspectives and improvements on the symmetric extension filter bank for subband/wavelet image compression.

In subband/wavelet image coding, size-limited subband decompositions are ordinarily used to avoid increasing the number of samples that need to be coded. To reduce coding distortions that can occur at the borders, the symmetric extension filter bank is typically employed. This paper introduces some new perspectives and improvements to that decomposition. The symmetric extension filter bank is couched in the cyclic frequency domain, providing a framework that accommodates FIR and IIR filters in a natural way, all with perfect reconstruction. IIR filters with both rational and irrational transfer functions can be implemented and, in the context of symmetric extension, can accommodate IIRs that effectively have perfect stopband suppression. Enhancements to the filter bank at a tree-structured system level are also presented and include the application of spectral reversal correction and a transition band normalization approach to designing the constituent filters of the symmetric extension wavelet packet transform.     

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.     

一种新的对称FIR内插滤波器结构及其在WCDMA中的应用

该文提出了一种新的通过构造辅助滤波器组来利用原型滤波器的对称特性的方法,并且提供了一种实用的实现方法,便于在FPGA,DSP或现有的商用数字滤波器中实现。这种结构在第三代移动通信系统的开发过程中被用于实现WCDMA中的64阶基带成形滤波器。     

Novel Area-Efficient FPGA Architectures for FIR Filtering With Symmetric Signal Extension

This paper presents four novel area-efficient field-programmable gate-array (FPGA) bit-parallel architectures of finite impulse response (FIR) filters that smartly support the technique of symmetric signal extension while processing finite length signals at their boundaries. The key to this is a clever use of variable-depth shift registers which are efficiently implemented in Xilinx FPGAs in the form of shift register logic (SRL) components. Comparisons with the conventional architecture of FIR filter with symmetric boundary processing show considerable area saving especially with long-tap filters. For instance, our architecture implementation of the 8-tap low Daubechies-8 FIR filter achieves ~ 30% reduction in the area requirement (in terms of slices) compared to the conventional architecture while maintaining the same throughput. Two of the above-cited novel architectures are dedicated to the special case of symmetric FIR filters. The first architecture is highly area-efficient but requires a clock frequency doubler. While this reduces the overall processing speed (to a maximum of 2), it does maintain a high throughput. Moreover, this speed penalty is cancelled in bi-phase filters which are widely used in multirate architectures (e.g., wavelets). Our second symmetric FIR filter architecture saves less logic than the first architecture (e.g., 10% with the 9-tap low Biorthogonal 9&7 symmetric filter instead of 37% with the first architecture) but overcomes its speed penalty as it matches the throughput of the conventional architecture.     

一种高阶线性FIR滤波器设计

为了解决高阶线性FIR滤波器占用查找表资源过多的问题,提出了一种采用对称查找表的分布式结构。利用线性FIR滤波器系数对称的特点,设计了深度更小的对称查找表。采用时分复用技术和流水线技术,有效节约了查找表资源,提高了FIR滤波器的运行频率。在Xilinx XC5VLX110T FPGA芯片上,实现了1 023阶的基于对称查找表的FIR滤波器。结果表明,相比于分段查找表结构,对称查找表结构的FIR滤波器节约了48%的Block Rom资源,提升了15%的最高时钟频率。     

Design of almost symmetric orthogonal wavelet filter bank via direct optimization

It is a well-known fact that (compact-support) dyadic wavelets [based on the two channel filter banks (FBs)] cannot be simultaneously orthogonal and symmetric. Although orthogonal wavelets have the energy preservation property, biorthogonal wavelets are preferred in image processing applications because of their symmetric property. In this paper, a novel method is presented for the design of almost symmetric orthogonal wavelet FB. Orthogonality is structurally imposed by using the unnormalized lattice structure, and this leads to an objective function, which is relatively simple to optimize. The designed filters have good frequency response, flat group delay, almost symmetric filter coefficients, and symmetric wavelet function.     

The design of arbitrary FIR digital filters using the eigenfiltermethod

The design of finite impulse response (FIR) digital filters for approximating an arbitrary function (in both magnitude and phase) in the least-square sense is studied. The design method is based on the computation of an eigenvector of an appropriate real, symmetric and positive-definite matrix. The design of the complex-coefficient filter is shown to be an extension of the design of the real-coefficient filter. Several design examples, including the constant-group-delay filters and digital phase all-pass filters, are presented. Comparisons to existing methods are made     

A new approach to the design of complex all-pass IIR digital filters

A new method is proposed for designing complex all-pass IIR filters, the all-pass IIR filters with complex coefficients, in this paper. By minimizing the integration of certain square phase error over interested frequencies, an eigenvector of an appropriate real, symmetric and positive-definite matrix is computed to get the filter coefficients. The stability is achieved by specifying properly the desired phase specifications. If an appropriate iterative process is used, equiripple complex all-pass filter design can be obtained. The method is simple and the performance is comparable to the existing methods. Several examples are presented to demonstrate the effectiveness of the approach.     

A general-purpose computer program for the design of two-dimensional recursive filters — 2DFil

A general-purpose interactive computer program for the design of linear causal shift-invariant two-dimensional recursive filters is presented in terms of its organization and operation. Narrow-band fan filters and circularly symmetric low-pass and high-pass filters for many useful image-processing applications can be designed using this program. The design is by numerical optimization of a guaranteedstable analog transfer function which is derived from a general two-dimensional passive prototype network. Corresponding discrete transfer functions are obtained by the double bilinear transformation. In using the program, selection of one code from a menu of predefined design codes provides the designer with various design features; these include the use of a doubly-terminated network to eliminate erroneous gain spikes, the use of a network particularly suited to circularly symmetric functions, and a facility for designing filters potentially useful for high-speed parallel processing. Design examples of a low-order highly selective fan filter and a circularly symmetric low-pass filter are included.     

Two-Dimensional Farrow Structure and the Design of Variable Fractional-Delay 2-D FIR Digital Filters

In this paper, a 2-D Farrow structure is proposed and used to implement variable fractional-delay (VFD) 2-D FIR digital filters. Compared with the existing literature, the desired response of a VFD 2-D digital filter is analyzed in detail, and it is found that there are four types of 2-D symmetric/antisymmetric sequences that need to be used for the design of VFD 2-D FIR digital filters. Moreover, due to the orthogonality among the approach functions, the four types of 2-D sequences can be determined independently, such that the dimension for each computation can be reduced drastically. For simplicity, only the designs of even–even- and odd–odd-order VFD 2-D filters are presented in this paper, and the other cases can be achieved in the same manner. To reveal the coefficient characteristics, the symmetric/antisymmetric properties of filter coefficients and the relationships between coefficients are all tabulated. Also, design examples such as nonseparable circularly symmetric low-pass VFD filters are presented to demonstrate the effectiveness of the proposed method.