CN1014760B - 数字式抽选滤波器 - Google Patents

数字式抽选滤波器

Info

Publication number
CN1014760B
CN1014760B CN88108359A CN88108359A CN1014760B CN 1014760 B CN1014760 B CN 1014760B CN 88108359 A CN88108359 A CN 88108359A CN 88108359 A CN88108359 A CN 88108359A CN 1014760 B CN1014760 B CN 1014760B
Authority
CN
China
Prior art keywords
output
delay
integrator
delay cell
adder
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Expired
Application number
CN88108359A
Other languages
English (en)
Other versions
CN1035215A (zh
Inventor
海因里希·皮埃弗
沃纳·莱希
马蒂尼·温特尔
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
German Itt Industry Co ltd
TDK Micronas GmbH
Original Assignee
German Itt Industry Co ltd
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by German Itt Industry Co ltd filed Critical German Itt Industry Co ltd
Publication of CN1035215A publication Critical patent/CN1035215A/zh
Publication of CN1014760B publication Critical patent/CN1014760B/zh
Expired legal-status Critical Current

Links

Images

Classifications

    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/06—Non-recursive filters
    • H03H17/0621—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing
    • H03H17/0635—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies
    • H03H17/0671—Cascaded integrator-comb [CIC] filters
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/06—Non-recursive filters
    • H03H17/0621—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing
    • H03H17/0635—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies
    • H03H17/065—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies the ratio being integer
    • H03H17/0657—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies the ratio being integer where the output-delivery frequency is higher than the input sampling frequency, i.e. interpolation
    • H—ELECTRICITY
    • H03—ELECTRONIC CIRCUITRY
    • H03H—IMPEDANCE NETWORKS, e.g. RESONANT CIRCUITS; RESONATORS
    • H03H17/00—Networks using digital techniques
    • H03H17/02—Frequency selective networks
    • H03H17/06—Non-recursive filters
    • H03H17/0621—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing
    • H03H17/0635—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies
    • H03H17/065—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies the ratio being integer
    • H03H17/0664—Non-recursive filters with input-sampling frequency and output-delivery frequency which differ, e.g. extrapolation; Anti-aliasing characterized by the ratio between the input-sampling and output-delivery frequencies the ratio being integer where the output-delivery frequency is lower than the input sampling frequency, i.e. decimation

Landscapes

  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Computer Hardware Design (AREA)
  • Mathematical Physics (AREA)
  • Compression, Expansion, Code Conversion, And Decoders (AREA)
  • Synchronisation In Digital Transmission Systems (AREA)
  • Analogue/Digital Conversion (AREA)
  • Filters That Use Time-Delay Elements (AREA)

Abstract

为实现传递函数
H(Z)＝b(1-Z-Kn)(1-Z-n) m-1/(1-Z-1)m
要将下列各部分串联起来：乘以因子2-q的乘法器，m-1个积分器，其中每个积分器都具有一个延时时间等于输入采样频率周期的延时元件，具有可由输出采样时钟复位的延时元件的第m个积分器，一个采样装置，它按输出采样时钟的速率进行采样，m-2个微分器，其中每个微分器都具有延时时间等于输出采样时钟周期的延时元件，第m-1个微分器具有K个延时元件，每个延时元件的延时等于输出采样时钟周期。

Description

本发明涉及数字信号处理领域。这种信号处理在被发送的音频信号的接收机中是通用的，其中内载频信号以在基带抽样所需的高取样速率数字化。
在数字系统中，常常必须将予先确定的输入采样频率（要处理的数字数据按该频率采集）变换成较低的输出采样频率。通常把这称作为“抽选”。它分成两步进行：滤波和随后的降频采样。由于采用降频采样，就可不必使用抽选滤波器的每个输出数据，这使滤波器结构简化，在许多数字系统中，特别是在那些与过采样（即采样频率要比按采样定理确定的频率高）模-数变换器有很大关系的系统中，是用多个时间滑动平均项的串联来构成抽选滤波器。上述抽选滤波器可例如见于“IEEE    Transaction    on    Acoustics，speeck    and    signal    prgnalsing”，（Vol.Assp-29，No.2，April1981，pages    155-162）及IEEE    Transactions    on    circuits”，（Vol.CAS-31，No.11，Nove    mber    1984    pages    913-924）抽选滤波器的传递函数为
H（Z）＝b（1+Z-1+…+Z-n+1）m
＝b（1-Z-n）m/（1-Z-1）m，
其中n是输入数据采样频率γ和输出数据采样频率d的整数商，Z是复频变量。
由大或等于1的整数参数k得到的抽选滤波器能够改变带宽：带宽是k的函数。传递函数为
H（Z）＝b（1+Z-1+…+Z-kn+1）（1+Z-1+…+Z-n+1）m-1
＝b（1-Z-kn）（1-Z-n）m-1/（1-Z-1）m。
这个传递函数至少在d/k整数倍频率处具有单零点（相应于无穷衰减量），在d倍处具有m重零点。如果采用2进制二补码记数方法来实现具有后面这个传递体数的抽选滤波器，一般没有这样的限制即二进制数只能是-1和+1之间的数。如果满足条件b小或等于1/knm，抽选滤波器一定不会超出运算范围。
由于传递函数H（Z）可以写成两个或多个因子的乘积，那么根据因子的顺序可得到实现该传递函数的多种不同抽选滤波器电路。其中用最小的电路来实现具有特殊的意义，即如果用单片集成电路来实现滤波器电路的话，所占用的芯片面积要尽可能的小。
本发明的目的是提供一种上述两个传递函数中的后面那个的电路排列结构，根据上述的观点，该函数具有特殊的优点，并且单元集成电路实现所给定的传递函数。
现在参照附图更为详细地解释本发明，其中：
图1是根据本发明的抽选滤波器非常简要的方框图，图2是图1结构的一种改进或提高的简要方框图。
本发明中，上述不超出运算范围的条件是通过选取b为2-q的幂来实现的，b或者等于商1/knm（若1/knm为2的幂），或者等于最接近于并且不超过这个商的2的幂。
相应在图1中，数字滤波器电路的第一元件是乘法器mp，它的一个输入是要进行抽选的输入数据ed，另一个输入是代表2的幂2-q的数字量，即数字量“2-q”。乘法器mp的输出后接m-1个积分器，其中只画出了积分器i1，im-1。这些积分器中的每一个都是由加法器ad和延时元件V组成的，该加法器连接在积分器 的输入和输出之间，该延时元件连接在积分器的输出和加法器之间。延时时间等于输入数据ed的采样频率γ的周期。这样，加法器ad有两个输入，其一连接到乘法器mp的输出（这是在第i1个积分器的情况），或者连接到前一级积分器的输出（这是在i1以后的积分器情况），其二连接到各自延时元件V的输出。
最后一级积分器im跟在次最后一级积分器im-1之后。最后一级积分器的内部电路与其它积分器基本相同，但该积分器中的延时元件Vg是由输出采样时钟dt复位的。这样，在每个输出采样时钟dt周期期间，在每周期开始更好，和数被复位。
采样装置Sm跟在积分器im输出之后，该采样装置Sm受输出采样时钟dt的控制，并由此产生数率的抽选，由m-1个微分器d1，dm-2，dm-1构成的链跟在采样装置Sm之后。前m-2个微分器具有完全相同的结构，减法器Sb的减数输入到输出的通道插接在每个微分器的输入和输出之间。该减法器的减数输入端连接到延时元件W的输出。延时元件提供的延时等于输出采样时钟dt的周期，它的输入连接到微分器的输入。
最后一级微分器dm-1的输出给出了所抽选的输出数据ad，在这级微分器中用串联在一起的K个延时元件W1，Wk代替了前m-2个微分器d1，dm-2中的单个延时元件W。每个延时元件W1，Wk的延时都等于输出采样时钟dt的周期。
从上述乘以2的幂2-q的乘法中看出，数字滤波器电路中要处理的信号具有p+q位，其中p是输入数据ed的位数。
表面上看，本发明好象不切实际。因为在该抽选滤波器电路的输入处，有多个数字积分器的串联，使得在输入中一个任意的小直流信 号可导至积分器的溢出。但这在本发明中确是允许的，并令人惊奇地不会引起错误。因为积分器的溢出完全被微分器中减法器的溢出补偿了。因而不必去管溢出问题。
图2是对图1结构的改进或发展，用这种结构可以解决任何时间和速度的问题，即由于分别在输入频率周期和输出频率周期结束之前，后级的加法器和减法器分别需要前级加法器和减法器的输出。在适当的地方加上附加延时元件就可以解决这个问题。
因而在图2结构中，每个微分器d1′，dm-2′，dm-1′都具有附加的延时元件y，其延时等于输出采样时钟dt的周期，并且该延时元件连接在减法器Sb的输出和各自的微分器输出之间。
如果采用如图2所示的加法器ad和延时元件V′的连接顺序，那么在图1中，应该连接在每个积分器i1，im-1的输出端之前的附加延时元件可与原有的延时元件联成一体。这里，加法器ad和延时元件V′串联在一起，使其不像图1的积分器那样，加法器的输出经延时后又反馈到加法器，而是将延时元件V′的输出反馈到加法器ad。最后一级积分器im含有可复位的延时元件Vg′，其加法器ad和延时元件Vg′也是串联起来的，并且延时元件Vg′的输出反馈到加法器ad。
在图2的结构中，保证了每个加法器和减法器以分别具有完整的输入和输出数据时钟周期而向外提供输出信号。

Claims (2)

1、用来实现具有如下传递函数
H(Z)=b(1-Z-kn)(1-Z-n)m-1/(1-Z-1)m
的抽选滤波器的数字滤波器电路，其中，Z是复频变量，k是一个用来调整数字滤波器电路带宽的整数参数，m是一个数，用来表明有多少个滤波器段串联，n是输入数据(ed)的采样频率和输出数据(ad)的采样频率的整数商，b为小于或等于1/knm的最接近于2的幂2-q，具有(1-Z-…)形式的项构成微分器，具有1/(1-Z-…)形式的项构成积分器，上述抽选滤波器其特征在于包括由下面的部分构成的一个串行结构：
--一个用于乘以2-q的乘法器(mp)，
--m-1个积分器(i1，im-1)，每个积分器在其输入和输出之间有一个加法器和一个位于输出和加法器之间的延时元件(V)，延时元件(V)的延时等于输入采样频率周期，
--第m个积分器(im)由输出采样时钟(dt)进行复位，
--一个采样装置(sm)，其开与关是按输出采样时钟(dt)的脉冲重复率进行，
--m-2个微分器(d1，dm-2)，每个微分器具有延时时间等于输出采样时钟(dt)周期的延时元件(W)，
--第m-1个微分器(dm-1)具有k个延时元件(W1，(Wk)，其中每个延时元件的延时等于输出采样时钟(dt)的周期。
2、如权利要求1中所要求的数字滤波器电路，其特征在于包括在每个微分器（d1′，dm-2′，dm-1′）中的一个附加延时元件（y），该延时元件连接在各自微分器输出之前，其延时量等于输出采样时钟（dt）的周期;m-1个积分器（i1′，im-1′），其中加法器（ad）和延时元件（V′）串联在积分器输入和输出之间，且延时元件（V′）的输出反馈到加法器去;第m个积分器（im′），其中加法器（ad）和可复位延时元件（Vg′）也串联在其输入和输出之间，且可复位延时元件（Vg′）的输出反馈到加法器。
CN88108359A 1987-12-12 1988-12-06 数字式抽选滤波器 Expired CN1014760B (zh)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
EP87118434.7 1987-12-12
EP87118434A EP0320517B1 (de) 1987-12-12 1987-12-12 Digitales Dezimationsfilter

Publications (2)

Publication Number Publication Date
CN1035215A CN1035215A (zh) 1989-08-30
CN1014760B true CN1014760B (zh) 1991-11-13

Family

ID=8197510

Family Applications (1)

Application Number Title Priority Date Filing Date
CN88108359A Expired CN1014760B (zh) 1987-12-12 1988-12-06 数字式抽选滤波器

Country Status (5)

Country Link
US (1) US4872129A (zh)
EP (1) EP0320517B1 (zh)
JP (1) JPH0773184B2 (zh)
CN (1) CN1014760B (zh)
DE (1) DE3781159D1 (zh)

Families Citing this family (39)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP0320517B1 (de) 1987-12-12 1992-08-12 Deutsche ITT Industries GmbH Digitales Dezimationsfilter
US5043932A (en) * 1989-10-30 1991-08-27 Advanced Micro Devices, Inc. Apparatus having modular interpolation architecture
US4999798A (en) * 1990-03-01 1991-03-12 Motorola, Inc. Transient free interpolating decimator
US5079734A (en) * 1990-04-30 1992-01-07 Harris Corporation Digital decimation filter
JPH05259813A (ja) * 1992-03-03 1993-10-08 Nec Corp ディジタルフィルタ
US5455782A (en) * 1992-08-14 1995-10-03 Harris Corporation Decimation filter and method
FI96255C (fi) * 1993-04-05 1996-05-27 Tapio Antero Saramaeki Desimointisuodatin
US5590065A (en) * 1994-08-10 1996-12-31 Crystal Semiconductor Corporation Digital decimation filter for delta sigma analog-to-digital conversion with reduced hardware compelexity
US5732002A (en) * 1995-05-23 1998-03-24 Analog Devices, Inc. Multi-rate IIR decimation and interpolation filters
US6311201B1 (en) * 1995-09-29 2001-10-30 Cirrus Logic, Inc. Efficient low pass filter stage for a decimation filter
EP0889587B1 (de) * 1997-07-02 2005-11-16 Micronas Semiconductor Holding AG Einrichtung zur Reduktion der Datenrate
EP0889586B1 (de) * 1997-07-02 2003-10-01 Micronas Semiconductor Holding AG Einrichtung zur Reduktion der Datenrate
DE19741922A1 (de) * 1997-09-23 1999-03-25 Siemens Ag Kammfilter
US6161118A (en) * 1998-06-12 2000-12-12 Oak Technology, Inc. Digital comb filter having a cascaded integrator stage with adjustable gain
US6603812B1 (en) * 1998-08-17 2003-08-05 Linear Technology Corporation Hardware implementation of a decimating finite impulse response filter
US6546408B2 (en) 1998-09-16 2003-04-08 Cirrus Logic, Inc. Sinc filter using twisting symmetry
US6317765B1 (en) 1998-09-16 2001-11-13 Cirrus Logic, Inc. Sinc filter with selective decimation ratios
US6594284B1 (en) 1998-09-16 2003-07-15 Cirrus Logic, Inc. Network synchronization
US6281718B1 (en) 1998-09-16 2001-08-28 Cirrus Logic, Inc. Noise management using a switched converter
US6980037B1 (en) 1998-09-16 2005-12-27 Cirrus Logic, Inc. Power on reset techniques for an integrated circuit chip
US6243733B1 (en) 1998-09-16 2001-06-05 Cirrus Logic, Inc. Correct carry bit generation
US6337636B1 (en) 1998-09-16 2002-01-08 Cirrus Logic, Inc. System and techniques for seismic data acquisition
US6321246B1 (en) 1998-09-16 2001-11-20 Cirrus Logic, Inc. Linear phase FIR sinc filter with multiplexing
US6233594B1 (en) * 1998-09-23 2001-05-15 Globespan, Inc. Decimation filter for oversampling analog-to digital converter
JP4308955B2 (ja) * 1999-01-20 2009-08-05 パナソニック株式会社 フィルタ装置およびそのフィルタ係数取得方法
US6614374B1 (en) * 1999-06-15 2003-09-02 Globespanvirata, Inc. High performance switched-capacitor filter for oversampling Sigma-Delta digital to analog converters
US6501406B1 (en) * 2001-07-13 2002-12-31 Stmicroelectronics S.R.L. Digital filter
CN100428629C (zh) * 2003-12-29 2008-10-22 华为技术有限公司 一种cic滤波器及其实现方法
US7102548B1 (en) * 2005-09-02 2006-09-05 Quickfilter Technologies, Inc. Cascaded integrator comb filter with arbitrary integer decimation value and scaling for unity gain
CN1964188B (zh) * 2006-12-06 2010-05-26 北京中星微电子有限公司 一种增量调制型转换的抽取滤波装置
JP4661901B2 (ja) * 2008-04-18 2011-03-30 ソニー株式会社 信号処理装置および方法、プログラム、並びに信号処理システム
DE102009038594A1 (de) 2009-08-26 2011-03-03 Sew-Eurodrive Gmbh & Co. Kg Verfahren zur Verarbeitung eines analog bestimmten Messwertsignals, Resolveranordnung zur Durchführung des Verfahrens und Verfahren zur Bestimmung eines Ausgangsstromes eines Umrichters
DE102010032296B4 (de) 2009-08-26 2014-05-28 Sew-Eurodrive Gmbh & Co Kg Verfahren zur Verarbeitung eines einen analog bestimmten Wert für Ausgangsstrom eines Umrichters darstellenden Messwertsignals und Vorrichtung zur Durchführung des Verfahrens
JP2011205294A (ja) * 2010-03-25 2011-10-13 Toshiba Corp 受信装置
GB2524051A (en) * 2014-03-12 2015-09-16 Univ Ljubljana Apparatus and method for filtering digital signals
CN106664077B (zh) * 2014-06-13 2019-05-31 阿自倍尔株式会社 数字滤波器
JP6333390B2 (ja) * 2014-08-04 2018-05-30 アズビル株式会社 デジタルフィルタ
CN105337588A (zh) * 2015-11-30 2016-02-17 东华大学 一种组合积分滤波系统
US20190379358A1 (en) * 2018-06-07 2019-12-12 Stmicroelectronics International N.V. Cascaded integrator-comb (cic) decimation filter with integration reset to support a reduced number of differentiators

Family Cites Families (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US4356559A (en) * 1980-08-01 1982-10-26 Bell Telephone Laboratories, Incorporated Logic arrangement for recursive digital filter
JPH0732344B2 (ja) * 1985-08-21 1995-04-10 株式会社日立製作所 間引きフイルタ
EP0320517B1 (de) 1987-12-12 1992-08-12 Deutsche ITT Industries GmbH Digitales Dezimationsfilter

Also Published As

Publication number Publication date
EP0320517B1 (de) 1992-08-12
EP0320517A1 (de) 1989-06-21
JPH02140009A (ja) 1990-05-29
DE3781159D1 (de) 1992-09-17
CN1035215A (zh) 1989-08-30
JPH0773184B2 (ja) 1995-08-02
US4872129A (en) 1989-10-03

Similar Documents

Publication Publication Date Title
CN1014760B (zh) 数字式抽选滤波器
US3665171A (en) Nonrecursive digital filter apparatus employing delayedadd configuration
US4270026A (en) Interpolator apparatus for increasing the word rate of a digital signal of the type employed in digital telephone systems
US3521042A (en) Simplified digital filter
EP0022302B1 (en) Decimation, linear phase, digital fir filter
CA1063184A (en) Non-recursive digital filter employing simple coefficients
EP0383326B1 (en) Fir digital filter for high-speed communications systems
US3706076A (en) Programmable digital filter apparatus
US3872290A (en) Finite impulse response digital filter with reduced storage
EP0285317B1 (en) Phase coordinated multistage digital filter
GB2064902A (en) Telephone line circuit
EP1105967B1 (en) Multiplierless digital filtering
CN211791464U (zh) 一种fpga数字滤波器
CA1091774A (en) Non-recursive in-phase and quadrature discrete filter
US5440605A (en) Multiplication circuit
US4893264A (en) Digital decimation filter
CA1053762A (en) Interpolating non-recursive digital filter
CN1166058C (zh) 一种实现n阶插值滤波的方法与装置
Dimitrov et al. Hybrid algorithm for the computation of the matrix polynomial I+ A+/spl middot//spl middot//spl middot/+ A/sup N-1
JPH0372711A (ja) 標本化周波数変換装置
US5148384A (en) Signal processing integrated circuit
US5729574A (en) Single channel FIR filter architecture to perform combined/parallel filtering of multiple (quadrature) signals
EP0261848A2 (en) A sampled data tone control system
Kl Fletcher et al.
EP0300684A2 (en) A digital-to-digital code converter

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
C13 Decision
GR02 Examined patent application
C14 Grant of patent or utility model
GR01 Patent grant
C15 Extension of patent right duration from 15 to 20 years for appl. with date before 31.12.1992 and still valid on 11.12.2001 (patent law change 1993)
OR01 Other related matters
C19 Lapse of patent right due to non-payment of the annual fee
CF01 Termination of patent right due to non-payment of annual fee