JP2003318737A - Band division a/d converting device - Google Patents
Band division a/d converting deviceInfo
- Publication number
- JP2003318737A JP2003318737A JP2002127020A JP2002127020A JP2003318737A JP 2003318737 A JP2003318737 A JP 2003318737A JP 2002127020 A JP2002127020 A JP 2002127020A JP 2002127020 A JP2002127020 A JP 2002127020A JP 2003318737 A JP2003318737 A JP 2003318737A
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- Prior art keywords
- band
- conversion
- frequency
- gain
- converters
- Prior art date
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- Analogue/Digital Conversion (AREA)
- Compression, Expansion, Code Conversion, And Decoders (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は、アナログ信号を複
数の帯域に分割してデジタル信号に変換する帯域分割A
/D変換装置に係り、特に各帯域のA/D変換器で発生
する量子化ノイズを除去するためのデジタルフィルタに
関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a band division A for dividing an analog signal into a plurality of bands and converting it into a digital signal.
The present invention relates to a / D conversion device, and more particularly to a digital filter for removing quantization noise generated in an A / D converter in each band.
【0002】[0002]
【従来の技術】一般的にA/D変換器は、変換精度と変
換帯域との間にトレードオフが存在する。例えば、フラ
ッシュ型A/D変換器は変換帯域は広いが、変換精度は
あまり高くない。一方、ΔΣ型A/D変換器は、フラッ
シュ型A/D変換器とは逆の傾向を示す。近年のデジタ
ル通信の進展に伴い、携帯通信機器などの無線通信シス
テムにおいて、受信信号をデジタル信号に変換するよう
な用途のA/D変換器には、高精度と広帯域の両方が要
求されるようになってきている。2. Description of the Related Art Generally, an A / D converter has a trade-off between conversion accuracy and conversion band. For example, the flash A / D converter has a wide conversion band, but the conversion accuracy is not so high. On the other hand, the ΔΣ type A / D converter shows the opposite tendency to the flash type A / D converter. With the recent development of digital communication, it is expected that both high precision and wide band are required for A / D converters for converting received signals into digital signals in wireless communication systems such as mobile communication devices. Is becoming.
【0003】A/D変換に対する高精度・広帯域の要求
に応えるために、互い異なる帯域で変換を行う複数のA
/D変換器を共通の入力端子に接続し、A/D変換器の
出力側に各A/D変換器の変換帯域に相当する帯域を通
過域とするデジタルフィルタを接続し、各デジタルフィ
ルタの出力を合成して帯域合成を行うことにより、全帯
域のデジタル信号を出力する帯域分割A/D変換装置が
提案されている(例えば、特開平11−17549号公
報)。特に、各A/D変換器にΔΣ変調器を用いれば
(このようなA/D変換器をΔΣ型A/D変換器とい
う)、量子化ノイズの少ない帯域のみ取り出して合成す
ることができ、高精度化かつ広帯域のA/D変換装置を
実現できる。In order to meet the demand for high precision and wide bandwidth for A / D conversion, a plurality of A's performing conversion in different bands from each other.
The / D converter is connected to a common input terminal, and the output side of the A / D converter is connected to a digital filter whose pass band is a band corresponding to the conversion band of each A / D converter. There has been proposed a band division A / D converter that outputs digital signals in all bands by combining outputs to perform band combination (for example, Japanese Patent Laid-Open No. 11-17549). In particular, if a ΔΣ modulator is used for each A / D converter (such an A / D converter is referred to as a ΔΣ type A / D converter), only a band with less quantization noise can be extracted and combined, A high-accuracy and wide-band A / D converter can be realized.
【0004】[0004]
【発明が解決しようとする課題】上述のような帯域分割
A/D変換装置では、各A/D変換器の出力側に設けら
れるデジタルフィルタの特性についてはこれまで具体的
に考察されていない。例えば、特開平11−17549
号公報においては、帯域合成後の利得特性(利得−周波
数特性)が略フラットであるようなデジタルフィルタを
用いることが記載されているが、帯域合成後の利得特性
をフラットにするような個々の具体的なフィルタの特性
をいかに設定するかについての具体的な開示はない。In the band division A / D converter as described above, the characteristics of the digital filter provided on the output side of each A / D converter have not been concretely examined so far. For example, JP-A-11-17549
Japanese Patent Laid-Open Publication No. 2003-242242 describes the use of a digital filter having a substantially flat gain characteristic (gain-frequency characteristic) after band combination. There is no specific disclosure of how to set the specific filter characteristics.
【0005】また、特に無線システムに使用するA/D
変換器では、信号帯域内のリップルや群遅延特性に対す
る要求が厳しく、利得特性が概略フラットになる特性の
みでは満足しない。特開平11−17549号公報で
は、このような要求に関しても言及されていない。In addition, an A / D used especially in a radio system
In the converter, there are strict requirements for ripples in the signal band and group delay characteristics, and the characteristics that the gain characteristics are substantially flat are not sufficient. Japanese Patent Laid-Open No. 11-17549 does not mention such a requirement.
【0006】本発明の目的は、帯域合成後の利得特性を
フラットに保つことができるようなデジタルフィルタを
有する帯域分割A/D変換装置を提供することにある。An object of the present invention is to provide a band division A / D conversion device having a digital filter capable of keeping the gain characteristic after band combination flat.
【0007】本発明の他の目的は、帯域合成後の利得特
性をフラットにし、さらに群遅延を一定にできる帯域分
割A/D変換装置を提供することにある。Another object of the present invention is to provide a band division A / D converter which can flatten the gain characteristic after band combination and can make the group delay constant.
【0008】[0008]
【課題を解決するための手段】上記の課題を解決するた
め、本発明に係る帯域分割A/D変換装置では、アナロ
グ信号が入力される共通入力端子にそれぞれの入力端子
が接続された複数のA/D変換器によりそれぞれ異なる
変換帯域でA/D変換を行い、各A/D変換器の変換帯
域に相当する帯域を通過域または遷移域とし、遷移域は
利得が通過域の利得のほぼ半分となる周波数を中心に点
対称の利得特性を有するように構成されたデジタルフィ
ルタにA/D変換器の出力をそれぞれ入力し、デジタル
フィルタの出力を合成して出力端子に全帯域のデジタル
信号を出力する。In order to solve the above problems, in the band division A / D conversion device according to the present invention, a plurality of common input terminals to which analog signals are input are connected to respective input terminals. A / D conversion is performed by the A / D converters in different conversion bands, and a band corresponding to the conversion band of each A / D converter is used as a pass band or a transition band. The outputs of the A / D converters are input to digital filters that are configured to have point-symmetrical gain characteristics centered around a half frequency, the outputs of the digital filters are combined, and digital signals of the entire band are output terminals. Is output.
【0009】また、A/D変換器として特にΔΣ型A/
D変換器を用いる場合、ΔΣ型A/D変換器はそれぞれ
異なる周波数で量子化ノイズが最小となる特性を有し、
該周波数を中心周波数とするそれぞれ異なる変換帯域で
A/D変換を行うように構成される。一方、デジタルフ
ィルタは各々のA/D変換器の量子化ノイズが最小とな
る周波数を通過域または遷移域に含み、遷移域は利得が
通過域の利得のほぼ半分となる周波数を中心に点対称な
利得特性を有するように構成される。As the A / D converter, a ΔΣ type A /
When the D converter is used, the ΔΣ type A / D converter has a characteristic that the quantization noise becomes minimum at different frequencies,
It is configured to perform A / D conversion in different conversion bands having the frequency as the center frequency. On the other hand, the digital filter includes a frequency at which the quantization noise of each A / D converter is minimized in the pass band or the transition band, and the transition band is point-symmetrical about the frequency at which the gain is almost half the gain of the pass band. It is configured to have various gain characteristics.
【0010】本発明においては、各デジタルフィルタは
所望帯域内で群遅延が一定となるように、より具体的に
はインパルスレスポンス値が隅対称となるように構成さ
れることが好ましい。このような構成により帯域分割A
/D変換装置における帯域合成後の利得特性をフラット
に保つことができ、さらには群遅延を一定にすることも
可能となる。In the present invention, each digital filter is preferably constructed so that the group delay is constant within a desired band, and more specifically, the impulse response values are corner-symmetrical. With such a configuration, the band division A
The gain characteristic after band combination in the / D converter can be kept flat and the group delay can be made constant.
【0011】[0011]
【発明の実施の形態】以下、図面を参照して本発明の実
施形態について説明する。図1に、本発明の一実施形態
に係る帯域分割A/D変換装置の構成を示す。本実施形
態では、入力信号を3つの帯域に分割してA/D変換す
る場合について説明するが、本発明は帯域分割数が2ま
たは4以上の場合にも適用が可能である。BEST MODE FOR CARRYING OUT THE INVENTION Embodiments of the present invention will be described below with reference to the drawings. FIG. 1 shows the configuration of a band division A / D conversion device according to an embodiment of the present invention. In the present embodiment, the case where the input signal is divided into three bands and A / D converted is described, but the present invention is also applicable to the case where the number of band divisions is 2 or 4 or more.
【0012】図1において、共通入力端子10にはA/
D変換すべきアナログ信号が入力される。この入力アナ
ログ信号は、3つのA/D変換器11,12,13の入
力端子に与えられる。A/D変換器11,12,13
は、本実施形態ではΔΣ変調器を用いたA/D変換器、
すなわちΔΣ型A/D変換器であり、A/D変換器11
はローパス特性を有するΔΣ変調器、A/D変換器1
2,13はバンドパス特性を有するΔΣ変調器を用いて
構成されている。A/D変換器11,12,13は、入
力アナログ信号を所定のサンプリング周波数(fs と
する)でサンプリングした後、それぞれ異なる変換帯域
(Lowpass, Bandpass_L, Bandpass_H とする)でA/D
変換を行って、それぞれの出力端子へ変換出力を出力す
る。A/D変換器11,12,13は、ΔΣ型A/D変
換器の場合、それぞれ異なる周波数で量子化ノイズが最
小となる特性を有しており、量子化ノイズ最小の周波数
を変換帯域Lowpass, Bandpass_L, Bandpass_H の中心周
波数とするものとする。In FIG. 1, the common input terminal 10 has an A /
An analog signal to be D-converted is input. This input analog signal is given to the input terminals of the three A / D converters 11, 12, and 13. A / D converters 11, 12, 13
Is an A / D converter using a ΔΣ modulator in the present embodiment,
That is, it is a ΔΣ type A / D converter, and the A / D converter 11
Is a ΔΣ modulator and A / D converter 1 having low-pass characteristics
Reference numerals 2 and 13 are configured using ΔΣ modulators having bandpass characteristics. A / D converter 11, 12 and 13, after sampling the input analog signal at a predetermined sampling frequency (the f s), different conversion zone respectively (Lowpass, Bandpass_L, and Bandpass_H) by the A / D
The conversion is performed and the converted output is output to each output terminal. The A / D converters 11, 12 and 13 each have a characteristic that the quantization noise becomes minimum at different frequencies in the case of the ΔΣ type A / D converter, and the frequency having the minimum quantization noise is converted into the conversion band Lowpass. , Bandpass_L, Bandpass_H center frequencies.
【0013】A/D変換器11,12,13からの変換
出力は、それぞれデジタルフィルタ14,15,16に
入力される。デジタルフィルタ14,15,16は、そ
れぞれに接続されているA/D変換器11,12,13
の変換帯域に相当する帯域を通過域または遷移域とし、
遷移域は利得が通過域の半分となる周波数を中心に点対
称の利得特性を有するように構成されるFIR(finite
impulse response)フィルタである。デジタルフィルタ
の遷移域は、通過域と阻止域の間の領域であり、過渡領
域とも呼ばれる。ここでは、量子化ノイズ最小の周波数
がA/D変換器の変換帯域の中心であるとしているが、
互いの中心がずれているためA/D変換器の変換帯域外
にデジタルフィルタの遷移域がくることもある。The converted outputs from the A / D converters 11, 12, 13 are input to digital filters 14, 15, 16 respectively. The digital filters 14, 15 and 16 are connected to the A / D converters 11, 12, 13 respectively.
The band corresponding to the conversion band of is the pass band or transition band,
The transition region is configured so as to have a point-symmetrical gain characteristic around a frequency at which the gain is half that of the pass region.
impulse response) filter. The transition band of the digital filter is a region between the pass band and the stop band and is also called a transition region. Here, it is assumed that the frequency with the minimum quantization noise is the center of the conversion band of the A / D converter.
Since the centers of the digital filters are offset from each other, the transition region of the digital filter may be located outside the conversion band of the A / D converter.
【0014】A/D変換器11,12,13がΔΣ型A
/D変換器の場合、デジタルフィルタ14,15,16
は、A/D変換器11,12,13の量子化ノイズ最小
の周波数を通過域または遷移域に含むように構成される
ことによって、A/D変換器11,12,13の変換帯
域に相当する帯域が通過域または遷移域となる。デジタ
ルフィルタ14,15,16は、さらに好ましくは通過
域または遷移域の所望帯域内で群遅延が一定となるよう
に構成される。デジタルフィルタ14,15,16の出
力は加算器17により合成され、これによって帯域分割
A/D変換装置の出力である全帯域のデジタル信号が出
力端子18へ出力される。The A / D converters 11, 12, 13 are ΔΣ type A
In the case of a D / D converter, digital filters 14, 15, 16
Corresponds to the conversion band of the A / D converters 11, 12, and 13 by being configured to include the frequency of the minimum quantization noise of the A / D converters 11, 12, and 13 in the pass band or the transition band. The band to be set becomes the pass band or transition band. The digital filters 14, 15 and 16 are more preferably configured so that the group delay is constant within a desired band of the pass band or the transition band. The outputs of the digital filters 14, 15 and 16 are combined by the adder 17, and the digital signal of the entire band which is the output of the band division A / D converter is output to the output terminal 18.
【0015】次に、デジタルフィルタ14,15,16
について説明する。図2は、デジタルフィルタ14,1
5,16として用いられるFIRフィルタの特性を示す
図であり、横軸はサンプリング周波数fs で正規化し
た周波数、縦軸は利得である。本実施形態では、コサイ
ンロールオフ特性を有するFIRフィルタを基準ローパ
スフィルタとして使用する。基準ローパスフィルタは、
デジタルフィルタ14,15,16を構成する際の基準
となるフィルタであって、この例では利得が0.5とな
る周波数が2/38Hzであり、この周波数を中心とし
て遷移域の利得特性は点対称となっている。Next, the digital filters 14, 15, 16
Will be described. FIG. 2 shows the digital filters 14 and 1
It is a graph illustrating the characteristics of the FIR filter used as 5 and 16, the horizontal axis represents the frequency normalized by the sampling frequency f s, and the vertical axis represents the gain. In this embodiment, an FIR filter having a cosine roll-off characteristic is used as a reference low pass filter. The reference low pass filter is
It is a filter that serves as a reference when configuring the digital filters 14, 15 and 16, and in this example, the frequency at which the gain is 0.5 is 2/38 Hz, and the gain characteristics in the transition band are centered around this frequency. It is symmetrical.
【0016】この基準ローパスフィルタの利得特性を周
波数軸上で移動することにより、任意の特性のバンドパ
スフィルタを実現することができる。例えば、図2中の
バンドパスフィルタBandpass1, Bandpass_L, Bandpass_
H は、それぞれ基準ローパスフィルタの利得特性を4/
38Hz,8/38Hz,12/38Hz移動した利得
特性を有する。このようにバンドパスフィルタBandpass
1, Bandpass_L, Bandpass_H の利得特性を基準ローパス
フィルタの利得が0.5となる周波数2/38Hzの2
倍ずつ順に周波数軸上で移動させた特性とすることによ
って、各バンドパスフィルタBandpass1, Bandpass_L, B
andpass_H の利得特性は、利得が0.5となる点で交差
する。従って、バンドパスフィルタBandpass1, Bandpas
s_L, Bandpass_H の利得特性を合成した後の利得特性
は、どの周波数でも利得が1、すなわちフラットな特性
となる。By moving the gain characteristic of this reference low-pass filter on the frequency axis, a band-pass filter having an arbitrary characteristic can be realized. For example, the bandpass filters Bandpass1, Bandpass_L, Bandpass_ in FIG.
H is the gain characteristic of the reference low-pass filter, which is 4 /
It has a gain characteristic that is moved by 38 Hz, 8/38 Hz, and 12/38 Hz. Bandpass filter Bandpass
The gain characteristics of 1, Bandpass_L, Bandpass_H are 2 / 38Hz frequency at which the gain of the reference low-pass filter is 0.5.
Bandpass filters Bandpass1, Bandpass_L, B
The gain characteristics of andpass_H intersect at a point where the gain is 0.5. Therefore, the bandpass filter Bandpass1, Bandpas
The gain characteristic after combining the gain characteristics of s_L and Bandpass_H is 1 at any frequency, that is, a flat characteristic.
【0017】本実施形態においては、ローパスΔΣ型A
/D変換器11に接続されるデジタルフィルタ14に
は、基準ローパスフィルタとバンドパスフィルタBandpa
ss1 の周波数特性の和の周波数特性を有するローパスフ
ィルタLowpass が用いられ、また二つのバンドパスΔΣ
型A/D変換器12,13に接続されるデジタルフィル
タ15,16には、それぞれバンドパスフィルタBandpa
ss_L,Bandpass_H が用いられる。この場合、デジタル
フィルタ14であるローパスフィルタLowpass の帯域幅
は6/38Hz、デジタルフィルタ15,16であるバ
ンドパスフィルタBandpass_L,Bandpass_H の帯域幅は
共に4/38Hzとなり、特定のΔΣ型A/D変換器
(この例では、ローパスΔΣ型A/D変換器11)の出
力に対してだけ広い帯域幅でフィルタリングすることも
可能となる。In this embodiment, the low-pass ΔΣ type A
The digital filter 14 connected to the D / D converter 11 includes a reference low pass filter and a band pass filter Bandpa.
A lowpass filter Lowpass having a frequency characteristic of the sum of the frequency characteristics of ss1 is used, and two bandpass ΔΣ
The digital filters 15 and 16 connected to the type A / D converters 12 and 13 include bandpass filters Bandpa and Bandpa, respectively.
ss_L and Bandpass_H are used. In this case, the bandwidth of the low-pass filter Lowpass that is the digital filter 14 is 6/38 Hz, and the bandwidth of the band-pass filters Bandpass_L and Bandpass_H that are the digital filters 15 and 16 are both 4/38 Hz, and the specific ΔΣ A / D conversion is performed. It is also possible to filter the output of the converter (low-pass ΔΣ type A / D converter 11 in this example) with a wide bandwidth.
【0018】ここで、デジタルフィルタ14として用い
られるローパスフィルタLowpassのような、複数のデジ
タルフィルタ(この例では、基準ローパスフィルタとバ
ンドパスフィルタBondpass1 )の周波数特性の和の周波
数特性のフィルタを作るためには、単にそれぞれのフィ
ルタのインパルスレスポンスの和のインパルスレスポン
スを有するフィルタ、すなわち該インパルスレスポンス
の和をタップ係数として持つフィルタを作れば良い。ま
た、ローパスフィルタLowpassを新たに基準ローパスフ
ィルタとし、ローパスフィルタLowpass の利得特性を周
波数軸上で移動させてバンドパスフィルタBandpass_L,
Bandpass_H を作ることもできる。Here, in order to create a filter having a frequency characteristic which is the sum of the frequency characteristics of a plurality of digital filters (in this example, the reference lowpass filter and the bandpass filter Bondpass1), such as the lowpass filter Lowpass used as the digital filter 14. For this, a filter having an impulse response that is the sum of the impulse responses of the respective filters, that is, a filter that has the sum of the impulse responses as a tap coefficient may be created. In addition, the lowpass filter Lowpass is newly used as a reference lowpass filter, and the gain characteristic of the lowpass filter Lowpass is moved on the frequency axis so that the bandpass filter Bandpass_L,
You can also make a Bandpass_H.
【0019】次に、デジタルフィルタ14,15,16
のタップ数(インパルスレスポンスの数)Nと、デジタ
ルフィルタ14,15,16に用いられるバンドパスフ
ィルタの中心周波数の関係について述べる。基準ローパ
スフィルタのインパルスレスポンス値をh0 (n)
(n=0,…,N−1)とすると、基準ローパスフィル
タを角周波数ω1だけ周波数軸上で移動して得られるバ
ンドパスフィルタ(例えば、Bandpass_L,Bandpass_H
)のインパルスレスポンス値h1 (n)は、次式に
より求められる。
h1 (n)=2h0 (n)cos(nω1 ) (1)
(n=0,1,…,N−1)
式(1)に示すように、cos(nω1 )(n=0,
1,…,N−1)を変換係数とする変換を行うことによ
って、基準ローパスフィルタの利得特性を基準ローパス
フィルタの特性と同じ形のバンドパスフィルタBandpass
_L,Bandpass_Hの利得特性に変換することができる。Next, the digital filters 14, 15, 16
The relationship between the number of taps (number of impulse responses) N and the center frequency of the bandpass filters used in the digital filters 14, 15 and 16 will be described. Set the impulse response value of the reference low-pass filter to h 0 (n)
(N = 0, ..., N−1), a bandpass filter (for example, Bandpass_L, Bandpass_H) obtained by moving the reference lowpass filter by the angular frequency ω 1 on the frequency axis.
) Impulse response value h 1 (n) is calculated by the following equation. h 1 (n) = 2h 0 (n) cos (nω 1 ) (1) (n = 0, 1, ..., N−1) As shown in Expression (1), cos (nω 1 ) (n = 0) ,
, ..., N-1) is used as a conversion coefficient, so that the gain characteristic of the reference low-pass filter has the same shape as that of the reference low-pass filter.
It can be converted to gain characteristics of _L and Bandpass_H.
【0020】一方、デジタルフィルタの位相特性に関し
ては、インパルスレスポンス値が隅対称の場合に直線位
相、すなわち群遅延一定となることが知られている。イ
ンパルスレスポンス値が隅対称の基準ローパスフィルタ
は、例えばParks-McClellanアルゴリズム(T. W. Parks,
J. H. McClellan: “Chebyshev Approximation forNon
recursive Digital Filters with Linear Phase”, IEE
E Trans. Circuit Theory, CT-19, No.2, pp. 189-194,
1972) に記載された手法を用いて設計することができ
る。On the other hand, regarding the phase characteristic of the digital filter, it is known that the linear phase, that is, the group delay is constant, when the impulse response value is corner symmetric. A reference low-pass filter whose impulse response value is corner-symmetric is, for example, the Parks-McClellan algorithm (TW Parks,
JH McClellan: “Chebyshev Approximation for Non
recursive Digital Filters with Linear Phase ”, IEE
E Trans. Circuit Theory, CT-19, No.2, pp. 189-194,
It can be designed using the method described in 1972).
【0021】帯域分割A/D変換装置全体の群遅延、す
なわち加算器17の出力で見た全帯域のデジタル信号の
群遅延を一定にするためには、基準ローパスフィルタの
みならず、基準ローパスフィルタから変換された後のバ
ンドパスフィルタのインパルスレスポンス値も隅対称で
なければならない。このためには、図3に示すように変
換係数cos(nω1 )(n=0,1,…,N−1)
の値も隅対称である必要がある。変換係数cos(nω
1 )(n=0,1,…,N−1)の値を隅対称にする
には、次式に示すように(N−1)ω1 の間にコサイ
ン波形がM周期分(Mは整数)含まれるようにすればよ
い。
(N−1)ω1 =2πM (2)
このとき、A/D変換器11,12,13のサンプリン
グ周波数をfsとすれば、バンドパスフィルタの中心周
波数f1 =ω1 /2πは、
f1 =Mfs /(N−1) (3)
となる。例えば、本実施形態ではN=39としているの
で、バンドパスフィルタの中心周波数は、サンプリング
周波数fs の1/(N−1)=1/38の倍数に選ば
れる。このようにバンドパスフィルタの中心周波数f
1 を設定することにより、基準ローパスフィルタの群
遅延が一定ならば、変換後のバンドパスフィルタの群遅
延も一定となり、これによって帯域分割A/D変換装置
全体の群遅延を一定にすることができる。なお、本実施
形態の場合、合成後の利得特性をフラットにするため
に、基準ローパスフィルタの帯域幅は1/38の倍数に
しなければならない。In order to make the group delay of the entire band-split A / D converter, that is, the group delay of the digital signal of the entire band seen at the output of the adder 17, constant not only the reference low-pass filter but also the reference low-pass filter. The impulse response value of the bandpass filter after conversion from must also be corner symmetric. To this end, as shown in FIG. 3, the conversion coefficient cos (nω 1 ) (n = 0, 1, ..., N−1)
The value of must also be corner-symmetric. Conversion coefficient cos (nω
1) (n = 0,1, ... , to the corner symmetrical value of N-1), as shown in the following formula (N-1) omega cosine waveform M cycles between 1 (M is (Integer) should be included. (N-1) ω 1 = 2πM (2) At this time, if the sampling frequency of the A / D converters 11, 12, and 13 is fs, the center frequency f 1 = ω 1 / 2π of the bandpass filter is f 1 = Mf s / (N- 1) and becomes (3). For example, since N = 39 in the present embodiment, the center frequency of the bandpass filter is selected to be a multiple of 1 / (N-1) = 1/38 of the sampling frequency fs. Thus, the center frequency f of the bandpass filter
By setting 1 , if the group delay of the reference low-pass filter is constant, the group delay of the band-pass filter after conversion is also constant, which makes it possible to make the group delay of the entire band-split A / D conversion device constant. it can. In the case of this embodiment, the bandwidth of the reference low-pass filter must be a multiple of 1/38 in order to flatten the gain characteristic after synthesis.
【0022】上記実施形態において、周波数の最も高い
バンドパスフィルタBandpass_H については、ハイパス
フィルタに置き換えることもできる。これは帯域分割数
が2または4以上の場合においても、同様である。すな
わち、各A/D変換器に接続されるデジタルフィルタ
は、(a)基準ローパスフィルタ、(b)基準ローパス
フィルタの利得特性を周波数変換したバンドパスフィル
タ及びハイパスフィルタの少なくとも一方を含めばよ
い。In the above embodiment, the bandpass filter Bandpass_H having the highest frequency can be replaced with a highpass filter. This is the same when the number of band divisions is 2 or 4 or more. That is, the digital filter connected to each A / D converter may include at least one of (a) a reference low-pass filter, (b) a band-pass filter and a high-pass filter obtained by frequency-converting the gain characteristics of the reference low-pass filter.
【0023】[0023]
【発明の効果】以上説明したように、各変換帯域のA/
D変換器の出力側に設けられるデジタルフィルタを本発
明に従い構成することによって、合成後の利得特性がフ
ラットな帯域分割A/D変換装置を実現することがで
き、また群遅延を一定にすることもできる。As described above, A / A of each conversion band
By configuring the digital filter provided on the output side of the D converter according to the present invention, it is possible to realize a band-division A / D conversion device having a flat gain characteristic after synthesis and to make the group delay constant. You can also
【図1】本発明の一実施形態に係る帯域分割A/D変換
装置の構成を示すブロック図FIG. 1 is a block diagram showing a configuration of a band division A / D conversion device according to an embodiment of the present invention.
【図2】同実施形態におけるデジタルフィルタの利得特
性について説明する図FIG. 2 is a diagram illustrating a gain characteristic of the digital filter according to the first embodiment.
【図3】同実施形態におけるバンドパスフィルタを実現
するための変換係数について説明する図FIG. 3 is a diagram explaining a conversion coefficient for realizing the bandpass filter in the same embodiment.
10…共通入力端子 11,12,13…A/D変換器 14,15,16…デジタルフィルタ 17…加算器(合成器) 18…出力端子 10 ... Common input terminal 11, 12, 13 ... A / D converter 14, 15, 16 ... Digital filter 17 ... Adder (combiner) 18 ... Output terminal
Claims (8)
割してデジタル信号に変換する帯域分割A/D変換装置
において、 前記アナログ信号が入力される共通入力端子と、 前記共通入力端子にそれぞれの入力端子が接続され、そ
れぞれ異なる変換帯域でA/D変換を行ってそれぞれの
出力端子へ変換出力を出力する複数のA/D変換器と、 前記複数のA/D変換器の出力端子にそれぞれ接続さ
れ、各々のA/D変換器の変換帯域に相当する帯域を通
過域または遷移域とし、遷移域は利得が通過域の利得の
ほぼ半分となる周波数を中心に点対称の利得特性を有す
るように構成された複数のデジタルフィルタと、 前記デジタルフィルタの出力を合成して前記デジタル信
号を出力する合成器とを具備する帯域分割A/D変換装
置。1. A band division A / D conversion device for dividing an input analog signal into a plurality of bands and converting it into a digital signal, wherein a common input terminal to which the analog signal is input and a common input terminal are respectively provided. To a plurality of A / D converters that are connected to the input terminals of the A / D converters and perform A / D conversion in different conversion bands to output converted outputs to the respective output terminals; and output terminals of the plurality of A / D converters. A band corresponding to a conversion band of each A / D converter is connected to each other and is defined as a pass band or a transition band, and the transition band has a point-symmetrical gain characteristic around a frequency at which the gain is approximately half the gain of the pass band. A band division A / D conversion device comprising: a plurality of digital filters configured to have; and a combiner that combines outputs of the digital filters and outputs the digital signal.
割してデジタル信号に変換する帯域分割A/D変換装置
において、 前記アナログ信号が入力される共通入力端子と、 前記共通入力端子にそれぞれの入力端子が接続され、そ
れぞれ異なる周波数で量子化ノイズが最小となる特性を
有し、該周波数を中心周波数とするそれぞれ異なる変換
帯域でA/D変換を行ってそれぞれの出力端子へ変換出
力を出力する複数のΔΣ型A/D変換器と、 前記複数のΔΣA/D変換器の出力端子にそれぞれ接続
され、各々のA/D変換器の前記量子化ノイズが最小と
なる周波数を通過域または遷移域に含み、遷移域は利得
が通過域の利得のほぼ半分となる周波数を中心に点対称
な利得特性を有するように構成された複数のデジタルフ
ィルタと、 前記デジタルフィルタの出力を合成して前記デジタル信
号を出力する合成器とを具備する帯域分割A/D変換装
置。2. A band division A / D conversion device for dividing an input analog signal into a plurality of bands and converting it into a digital signal, wherein a common input terminal to which the analog signal is input and a common input terminal are respectively provided. Input terminals are connected to each other, and each has a characteristic that the quantization noise is minimized at different frequencies. A / D conversion is performed in different conversion bands having the frequency as the center frequency, and the converted output is output to each output terminal. A plurality of ΔΣ A / D converters for outputting and a plurality of ΔΣ A / D converters are respectively connected to output terminals of the plurality of ΔΣ A / D converters, and a frequency at which the quantization noise of each A / D converter is minimized A plurality of digital filters that are included in the transition band, and the transition band has a gain characteristic that is point-symmetrical about a frequency at which the gain is approximately half the gain of the pass band; Band dividing A / D converter the output of filter combined to and a synthesizer for outputting the digital signal.
望帯域内で群遅延が一定となるように構成される請求項
1または2記載の帯域変換A/D変換装置。3. The band conversion A / D conversion device according to claim 1, wherein each of the plurality of digital filters is configured so that a group delay is constant within a desired band.
ンパルスレスポンス値が隅対称となるように構成される
請求項3記載の帯域変換A/D変換装置。4. The band conversion A / D conversion device according to claim 3, wherein each of the plurality of digital filters is configured such that impulse response values are corner symmetric.
は、遷移域での利得特性がコサインロールオフ特性を有
するFIRフィルタである請求項1〜4のいずれか1項
記載の帯域分割A/D変換装置。5. The band division A / D conversion device according to claim 1, wherein at least one of the digital filters is an FIR filter having a gain characteristic in a transition region having a cosine roll-off characteristic. .
の利得特性がコサインロールオフ特性を有する基準ロー
パスフィルタと、該基準ローパスフィルタの利得特性を
周波数変換したバンドパスフィルタ及びハイパスフィル
タの少なくとも一方とを含む請求項1〜5のいずれか1
項記載の帯域分割A/D変換装置。6. The plurality of digital filters are a reference low-pass filter having a cosine roll-off characteristic in a gain characteristic in a transition region, and at least one of a band-pass filter and a high-pass filter obtained by frequency-converting the gain characteristic of the reference low-pass filter. 6. Any one of claims 1 to 5 including and
A band division A / D converter according to the item.
は、基準ローパスフィルタと該基準ローパスフィルタの
利得特性を周波数変換したバンドパスフィルタまたはハ
イパスフィルタのうちの任意の複数のフィルタのインパ
ルスレスポンスの和のインパルスレスポンスを有する請
求項1〜6のいずれか1項記載の帯域分割A/D変換装
置。7. At least one of the digital filters is a sum of impulse responses of a reference low-pass filter and a plurality of arbitrary filters of a band-pass filter or a high-pass filter obtained by frequency-converting a gain characteristic of the reference low-pass filter. The band division A / D conversion device according to claim 1, which has a response.
一つは、中心周波数がMfs/(N−1)(但し、fs
はサンプリング周波数、Mは任意の整数、Nはタップ
数)のバンドパスフィルタである請求項1〜7のいずれ
か1項記載の帯域分割A/D変換装置。8. The center frequency of at least one of the plurality of digital filters is Mfs / (N-1) (where fs
Is a sampling frequency, M is an arbitrary integer, N is the number of taps), and the band division A / D conversion device according to claim 1.
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Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2007194965A (en) * | 2006-01-19 | 2007-08-02 | Advantest Corp | Digitizer, and digitizing method |
US7719451B2 (en) | 2006-11-08 | 2010-05-18 | Yokogawa Electric Corporation | Signal measuring apparatus and semiconductor testing apparatus |
JP2012531835A (en) * | 2009-06-26 | 2012-12-10 | シントロピー システムズ | Sampling / quantization converter |
JP2015201860A (en) * | 2015-05-22 | 2015-11-12 | 株式会社日立製作所 | Radio transmitter, radio receiver, radio communication system, elevator control system, and transformation facility control system |
-
2002
- 2002-04-26 JP JP2002127020A patent/JP3572057B2/en not_active Expired - Fee Related
Cited By (4)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
JP2007194965A (en) * | 2006-01-19 | 2007-08-02 | Advantest Corp | Digitizer, and digitizing method |
US7719451B2 (en) | 2006-11-08 | 2010-05-18 | Yokogawa Electric Corporation | Signal measuring apparatus and semiconductor testing apparatus |
JP2012531835A (en) * | 2009-06-26 | 2012-12-10 | シントロピー システムズ | Sampling / quantization converter |
JP2015201860A (en) * | 2015-05-22 | 2015-11-12 | 株式会社日立製作所 | Radio transmitter, radio receiver, radio communication system, elevator control system, and transformation facility control system |
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