基于FRM结构的FIR滤波器的采样率变换方法

该文在分析滤波器传递函数的对称性与其冲激响应的关系的基础上,提出了一类具有稀疏冲激响应系数的特殊滤波器,以这类滤波器作为原型滤波器可以进一步降低FRM结构FIR滤波器的计算复杂度。并研究了基于此类FRM结构FIR滤波器的采样率变换算法、实现结构、计算复杂度及其设计问题等。最后,通过实际例子验证这种采样率变换方法的有效性。     

一种可变带宽FRM滤波新结构

设计窄过渡带FIR滤波器的一种非常有效的方法是采用频率响应屏蔽技术(FRM).但是如果过渡带要求过窄,经典FRM滤波器各子滤波器的阶数会变得很高.据此,本文提出一种可变带宽镜像半带滤波FRM滤波新结构,通过增加两个镜像半带滤波器,将原型滤波器及其互补滤波器的镜像分别分成奇偶两部分,使得原型滤波器和屏蔽滤波器的设计更加灵活,并降低了滤波器的计算复杂度,达到了设计高效窄过渡带滤波器的目的.理论分析和实例均验证了该结构的有效性.     

高性能CIC抽取滤波器研究与设计

针对采样率变换系统中CIC抽取滤波器存在通带失真较大和阻带衰减较小的问题,提出一种高性能CIC抽取滤波器的设计方法,该方法采用补偿滤波器技术和非递归并行结构.仿真结果表明,通带失真与阻带衰减特性明显优于传统的CIC,CIC-Cosine,ISOP-CIC等滤波器.因此,适用于对幅频特性要求较高的采样率变换系统.     

基于神经网络的FRM滤波器优化设计研究

以频率响应屏蔽(FRM)技术为基础,提出了一种基于神经网络的窄过渡带FIR数字滤波器的优化设计新方法.该算法主要通过使频率响应平方误差函数最小化来获得FRM滤波器系数.文中详细介绍了基于神经网络的基本FRM滤波器和多层FRM滤波器的设计算法及设计步骤,证明了该算法的稳定性定理,给出了仿真实例,并与已有的设计方法进行了比较,设计结果表明用该方法设计的窄过渡带FIR数字滤波器性能更为优越.     

多采样率数字滤波器

过去数字滤波器全是单采样率的系统。近年来提出使用多采样率数字滤波器。多采样率数字滤波器是输出采样率与输入采样率或内部处理采样率不同的一种数字系统。本文对这种滤波器的理论基础、分析方法、实现技术与应用做了系统介绍。文中对修改的 Z 变换与普通 Z 变换的关系、采样区间值用修改的 Z 变换与用采样率转换求法的一致性以及用采样率转换一般分析法与将多采样率数字滤波器作为周期性时变离散滤波器特殊情况分析法的一致性做了推导与阐述。     

宽带数字下变频器的一种新的实现结构

在软件无线电系统中，由于A／D输出数据流的采样率很高以及信道选择滤波器过渡带宽要求很窄等原因，数字下变频器(DDC)的运算复杂度很高。该文将基于频率响应屏蔽(FRM)方法的FIR滤波器引入到数字下变频器设计中，并详细地研究了此类数字下变频器的高效实现结构和算法复杂度。理论分析与仿真结果表明文中给出的DDC实现结构的计算效率很高。     

一种基于频率响应屏蔽技术的FIR滤波器设计新方法

提出了一种设计高效窄过渡带宽FIR滤波器的新方法。该方法以传统的频率响应屏蔽(FRM)方法为基础,通过选择特定的原型滤波器来降低合成的数字FIR滤波器的复杂度。本文研究了该方法的原理、实现结构和设计方法,并通过设计实例证明了此方法的有效性。     

用于软件无线电中的整数倍采样率转换技术

主要讨论了用于软件无线电中的整数倍采样率转换技术。首先讨论了进行整数倍采样率转换的必要性。然后讨论了用于设计抽取器的关键参数,实现结构及其相应滤波器的设计。文章最后讨论了用于频谱成形和通带衰减补偿的FIR滤波器的必要性和设计方法。     

基于多相滤波结构的整数倍内插技术

为了有效提高数字信号处理的实时性,经常要进行整倍数采样率的转换。简要介绍多抽样率信号处理理论及内插原理,在此基础上介绍了3种高效滤波器的特点,探讨了多相滤波网络结构的等效变换和多相滤波的设计理论。重点推导并给出了基于多相分解的内插多相滤波器的工作原理和结构以及实际工程应用,这种滤波器结构算法简单,并且最大限度地减少资源消耗、降低系统复杂度,提高运算速度,对工程实现具有较大的实用价值。     

一种高效数字滤波器设计方法

针对全数字软件接收机中抽取滤波器的设计,提出了一种适合在FPGA内实现的单级积分清洗的滤波器结构,这种结构解决了传统积分梳妆滤波器中可能出现的积分器溢出问题,同时还可进行非整数倍的抽取变换.给出了一种无乘法半带滤波器的IIR实现结构,并对该滤波器性能进行了仿真,结果表明在输出过采样率大于4时基本不会影响系统误码性能.     

Design Equations for Jointly Optimized Frequency-Response Masking Filters

The introduction of nonlinear optimization techniques to the design of a frequency-response masking (FRM) filter has changed the way in which an FRM filter is synthesized. It allows all subfilters in an FRM structure to be optimized jointly, resulting in further savings in the number of arithmetic operations. Under the joint optimization, a new set of design equations is necessary, not only for a more computationally efficient filter, but also for the simplification of the design process and the reduction of the design time. In this paper, we present a set of design equations that estimates the filter lengths and optimum interpolation factor in an FRM filter under joint optimization. It is shown, by means of examples, that the proposed design equations lead to a better estimation of the optimum interpolation factor compared with existing design equations.     

Design of Computationally Efficient Sharp FIR Filter Utilizing Modified Multistage FRM Technique for Wireless Communications Systems

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.     

Complexity Reduction By Decoupling The Masking Filters From The Bandedge Shaping Filter In The FRM Technique

In the frequency-response masking (FRM) approach, the complexity of two masking filters is heavily dependent on the interpolation factor and the cutoff frequencies of the bandedge shaping filter. In this paper, we propose a novel structure that decouples the masking filters from the bandedge shaping filter. The design equations together with the design procedures are presented. With the introduction of an additional decoupling stage, the complexity of the overall filter can be greatly reduced. Our example shows that more than 40% savings in the numbers of multipliers and adders can be achieved compared with the original FRM approach.     

Optimum masking levels and coefficient sparseness for Hilbert transformers and half-band filters designed using the frequency-response masking technique

Hilbert transformers and half-band filters are two very important special classes of finite-impulse response filters often used in signal processing applications. Furthermore, there exists a very close relationship between these two special classes of filters in such a way that a half-band filter can be derived from a Hilbert transformer in a straightforward manner and vice versa. It has been shown that these two classes of filters may be synthesized using the frequency-response masking (FRM) technique resulting in very efficient implementation when the filters are very sharp. While filters synthesized using the FRM technique has been characterized for the general low-pass case, Hilbert transformers and half-band filters synthesized using the FRM technique have not been characterized. The characterization of the two classes of filter is a focus of this paper. In this paper, we re-develop the FRM structure for the synthesis of Hilbert transformer from a new perspective. This new approach uses a frequency response correction term produced by masking the frequency response of a sparse coefficient filter, whose frequency response is periodic, to sharpen the bandedge of a low-order Hilbert transformer. Optimum masking levels and coefficient sparseness for the Hilbert transformers are derived; corresponding quantities for the half-band filters are obtained via the close relationship between these two classes of filters.     

Design of high-resolution cosine-modulated transmultiplexers with sharp transition band

Due to the growing importance of multichannel modulation, there has been great interest in the design of high-performance transmultiplex systems. In this paper, a new cosine-modulated transmultiplex structure is proposed based on a prototype filter designed with the frequency-response masking (FRM) approach. This new structure leads to substantial reduction in the computational complexity (number of multiplications per output sample) of the prototype filters having sharp transition band and equivalently small roll-off values. The relation between the interpolation factor used in the FRM prototype filter and the decimation factor in the subbands leads to distinct structures. Examples included indicate that the reduction in computational complexity can be higher than 50% of the current state-of-art designs, whereas the reduction on the number of distinct coefficients of the prototype filter can be reduced even further (over 75%). As a result, the proposed approach allows the design of very selective subfilters for transmultiplexes with a very large number of subchannels.     

A weighted least squares approach to the design of FIR filters synthesized using the modified frequency response masking structure

This paper presents an application of the weighted least squares (WLS) method to the design of sharp linear phase finite-impulse response (FIR) digital filters synthesized using a modified frequency-response masking (FRM) structure. In our approach, the original minimax design problem is converted into a WLS problem. The WLS problem is highly nonlinear with respect to the coefficients of the filter. However, it can be decomposed into four linear least squares (LS) problems, each of which can be solved analytically. The design problem is then solved iteratively by using an alternating variable approach. The effectiveness of the method is demonstrated through solving a low-pass linear phase sharp FIR digital filter example.     

Complexity Reduction For FRM-based FIR Filters Using The Prefilter-Equalizer Technique

A new method to reduce the number of arithmetic operations in a sharp FIR filter synthesized by the frequency-response masking (FRM) technique is presented. The success of the proposed method is based on a modified FRM approach where the subfilters in the FRM approach are implemented by using recently introduced prefilter-equalizer based filters. It is shown, by means of examples, that the proposed method yields considerable savings in the numbers of multipliers and adders compared to the original single-stage FRM approach.