JPH07212278A - Echo erasing device - Google Patents

Echo erasing device

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Publication number
JPH07212278A
JPH07212278A JP559694A JP559694A JPH07212278A JP H07212278 A JPH07212278 A JP H07212278A JP 559694 A JP559694 A JP 559694A JP 559694 A JP559694 A JP 559694A JP H07212278 A JPH07212278 A JP H07212278A
Authority
JP
Japan
Prior art keywords
echo
signal
echo path
projection method
circuit
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.)
Granted
Application number
JP559694A
Other languages
Japanese (ja)
Other versions
JP3180543B2 (en
Inventor
Shoji Makino
昭二 牧野
Masafumi Tanaka
雅史 田中
Yutaka Kaneda
豊 金田
Yoichi Haneda
陽一 羽田
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.)
Nippon Telegraph and Telephone Corp
Original Assignee
Nippon Telegraph and Telephone Corp
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Filing date
Publication date
Application filed by Nippon Telegraph and Telephone Corp filed Critical Nippon Telegraph and Telephone Corp
Priority to JP00559694A priority Critical patent/JP3180543B2/en
Publication of JPH07212278A publication Critical patent/JPH07212278A/en
Application granted granted Critical
Publication of JP3180543B2 publication Critical patent/JP3180543B2/en
Anticipated expiration legal-status Critical
Expired - Lifetime legal-status Critical Current

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Abstract

PURPOSE:To stably operate the device even at a silent block such as the partition of words or breathing, to prevent convergent speed from being decelerated and to provide a large echo erasing amount. CONSTITUTION:Concerning an input signal x(n), respective circuits 151-154 respectively conduct the respective norm arithmetic of X(n)TX(n), X(n)TX(n-1), X(n-1)TX(n) and X(n-1)TX(n-1). A circuit 31 detects the noise level of an echo path from the x(n), echo signal y(n) and residual signal e(n) and corresponding to this noise level, a positive constant delta is decided. An arithmetic circuit 18 conducts arithmetic to solve associated equations at the shading method as echo path estimation algorithm by adding delta to that denominator, a circuit 19 prepares correction information by using those arithmetic results beta(n), gamma(n), X(n), X(n-1) and alpha, this is added to an estimated echo path impulse response h(n)' the last time, and a dummy echo path is set as h(n+1)'.

Description

【発明の詳細な説明】Detailed Description of the Invention

【0001】[0001]

【産業上の利用分野】この発明は、2線4線変換系およ
び拡声通話系などにおいてハウリングの原因および聴覚
上の障害となる反響信号を、反響路の特性を推定して設
定した擬似反響路よりの信号により消去する反響消去装
置、特に反響路の特性推定を射影法あるいはES射影法
により行う反響消去装置に関するものである。
BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a pseudo echo path which is set by estimating the characteristics of the echo path for the echo signal which causes the howling and impairs hearing in a two-wire four-wire conversion system and a voice communication system. The present invention relates to an echo canceling device that cancels a signal by using a signal from Eq.

【0002】[0002]

【従来の技術】衛星通信や音声会議の普及に伴い、同時
通話性能に優れ反響感の少ない通話装置の提供が望まれ
ている。この要求を満たすものとして反響消去装置があ
る。図7は従来の反響消去装置の一例を示すブロック図
で、拡声通話の場合を示している。受話信号(入力信
号)x(t) を受ける受話入力端1からスピーカ2に至る
受話系と、マイクロホン3から送話出力端4に至る送話
系とからなる通話系において、A/D変換器5により受
話信号x(t) がサンプル値化され、その受話信号x(n)
が擬似反響路6へ供給され、擬似反響路6からの擬似反
響信号y(n) ′を、マイクロホン3から入力され、A/
D変換器7によりサンプル値化された反響信号y(n) か
ら減算器8で差し引くことにより反響信号y(n) は消去
され、その消去された残りの信号がD/A変換器9でア
ナログ信号に変換されて送話出力端4へ出力される。
2. Description of the Related Art With the widespread use of satellite communication and voice conferences, it is desired to provide a communication device having excellent simultaneous communication performance and less reverberation. An echo canceller is one that meets this demand. FIG. 7 is a block diagram showing an example of a conventional echo canceller, showing a case of a voice call. An A / D converter is provided in a speech communication system including a reception system that receives a reception signal (input signal) x (t) from a reception input end 1 to a speaker 2 and a transmission system that extends from a microphone 3 to a transmission output end 4. The received signal x (t) is sampled by 5, and the received signal x (n) is sampled.
Is supplied to the pseudo echo path 6, and the pseudo echo signal y (n) ′ from the pseudo echo path 6 is input from the microphone 3 and A /
The echo signal y (n) is canceled by subtracting it from the echo signal y (n) sampled by the D converter 7 by the subtractor 8, and the canceled residual signal is analogized by the D / A converter 9. It is converted into a signal and output to the transmission output terminal 4.

【0003】ここで擬似反響路6は、スピーカ2からマ
イクロホン3へ至る反響路11の経時変動に追従する必
要がある。この構成例において擬似反響路6はディジタ
ルFIRフィルタを用いて構成し、残差信号e(n) =y
(n) −y(n) ′が0に近づくように、例えばLMS法、
学習同定法、ES法、射影法またはES射影法などを用
いた推定回路12によってフィルタ係数の逐次修正を行
なう。このように擬似反響路6の修正が行なわれること
によって、常に最適な反響消去が維持される。
Here, the pseudo echo path 6 needs to follow the temporal change of the echo path 11 from the speaker 2 to the microphone 3. In this configuration example, the pseudo echo path 6 is constructed by using a digital FIR filter, and the residual signal e (n) = y
so that (n) −y (n) ′ approaches 0, for example, the LMS method,
The estimation circuit 12 using a learning identification method, an ES method, a projection method, an ES projection method, or the like sequentially corrects the filter coefficient. By thus modifying the pseudo echo path 6, optimum echo cancellation is always maintained.

【0004】前記射影法は、アルゴリズム内部で入力信
号の自己相関を取り除くことにより、音声信号のように
相関のある信号に対する収束速度を改善するという考え
方に基づいている。ここでは簡単のめた、2次の射影法
について述べる。2次の射影法により、音声信号に対す
る収束速度を学習同定法の約2倍に改善できる。2次の
射影法により擬似反響路6は次の(1)式に従って逐次
修正され、擬似反響路6のインパルス応答h(n) ′は
真の反響路11のインパルス応答h(n) に近づいてゆ
く。
The projection method is based on the idea that the autocorrelation of the input signal is removed inside the algorithm to improve the convergence speed for a correlated signal such as a voice signal. Here, a simple second-order projection method will be described. The second-order projection method can improve the convergence speed for a speech signal to about twice that of the learning identification method. The pseudo echo path 6 is sequentially modified according to the following equation (1) by the quadratic projection method, and the impulse response h (n) 'of the pseudo echo path 6 approaches the impulse response h (n) of the true echo path 11. go.

【0005】 h(n+1) ′=h(n) ′+α[β(n) x(n) +γ(n) x(n-1) ] (1) ただし、h (n) ′=(h1(n)′,h2(n)′,…,hL (n) ′)
T :擬似反響路 (FIRフィルタ)6のインパルス応答、つまりフィル
タ係数x (n) =(x(n) ,x(n-1) ,…,x(n-L+1) )T
受話信号ベクトル α:ステップサイズ(スカラ量) e(n) :残差信号(=y(n) −y(n) ′) y(n) ′=h(n) ′T x(n) L:擬似反響路6のタップ数T :ベクトルの転置 n:離散化時間 2次の射影法では、過去の2個の入力信号ベクトルx
(n),x(n-1) に対して正しい出力y(n) ,y(n-1) を
得るようにh(n) ′を修正する。すなわち、α=1の
時 x(n) T h(n+1) ′=y(n) (2) x(n-1) T h(n+1) ′=y(n-1) (3) が成り立つように(1)式の定数β(n) ,γ(n) を決定
する。即ち(1)式を(2)式に代入すれば β(n) x(n) T x(n) +γ(n) x(n-1) T x(n) =e(n) (4) となる。同様に(1)式を(3)式に代入すれば β(n) x(n-1) T x(n) +γ(n) x(n-1) T x(n-1) =(1−α)e(n-1) (5) となる。
H (n + 1) ′ = h (n) ′ + α [β (n) x (n) + γ (n) x (n-1)] (1) where h (n) ′ = (h 1 (n) ', h 2 (n)', ..., h L (n) ')
T : Impulse response of pseudo echo path (FIR filter) 6, that is, filter coefficient x (n) = (x (n), x (n-1), ..., x (n-L + 1)) T :
Received signal vector α: step size (scalar amount) e (n): residual signal (= y (n) -y (n) ') y (n)' = h (n) ' T x (n) L: number of taps T of the echo path 6: transpose of a vector n: discretization time second order projection method, the past two input signal vector x
Modify h (n) 'to obtain the correct output y (n), y (n-1) for (n), x (n-1). That is, when α = 1, x (n) T h (n + 1) '= y (n) (2) x (n-1) T h (n + 1)' = y (n-1) (3 ) Is established, the constants β (n) and γ (n) in Eq. (1) are determined. That is, by substituting equation (1) into equation (2), β (n) x (n) T x (n) + γ (n) x (n-1) T x (n) = e (n) (4) Becomes Similarly, by substituting equation (1) into equation (3), β (n) x (n-1) T x (n) + γ (n) x (n-1) T x (n-1) = (1 −α) e (n-1) (5)

【0006】連立方程式(4)(5)をβ(n) ,γ(n)
について解けば
The simultaneous equations (4) and (5) are converted into β (n) and γ (n)
If you solve about

【0007】[0007]

【数1】 となる。β(n),γ(n) を(1)式に代入すれば(2)
(3)式を満足するh(n+1) ′が求まる。図8は2次
の射影法を用いた推定回路12の内部の一例を示したも
のである。受話信号(入力信号)x(n) は受話信号記憶
回路141 ,142 で受話信号ベクトルx(n) ,x
(n-1) とされる。ノルム演算回路151 ,152 ,153 ,15
4ではそれぞれx(n) T x(n),x(n) T x(n-
1),x(n-1) T x(n),x(n-1) T x(n-1) が演
算される。これら演算されたノルムと、残差信号e(n)
と、残差記憶回路16からの残差信号e(n-1) およびス
テップサイズ記憶回路17からのステップサイズαと
は、β(n),γ(n) 演算回路18に供給されて(6)
(7)式の演算がなされて、定数β(n),γ(n) を求め
る。これらβ(n),γ(n) と前記 x(n),x(n-1),α
とは修正情報生成回路19に供給されて α[β(n) x(n) +γ(n) x(n-1) ] (8) が演算され、その出力は加算器21へ供給されてタップ
係数記憶回路22からのh(n) ′に加算されてh(n
+1) ′が得られる。この演算結果h(n+1) ′は擬似反
響路6へ出力されると同時に、タップ係数記憶回路22
の値を更新する。
[Equation 1] Becomes Substituting β (n) and γ (n) into equation (1) yields (2)
H (n + 1) ′ satisfying the equation (3) is obtained. FIG. 8 shows an example of the inside of the estimation circuit 12 using the quadratic projection method. The received signal (input signal) x (n) is received by the received signal storage circuits 14 1 and 14 2 and received signal vectors x (n) and x
(n-1). Norm calculation circuit 15 1 , 15 2 , 15 3 , 15
In 4 respectively, x (n) T x (n) and x (n) T x (n-
1), x (n-1) T x (n), x (n-1) T x (n-1) is calculated. These calculated norm and residual signal e (n)
And the residual signal e (n-1) from the residual storage circuit 16 and the step size α from the step size storage circuit 17 are supplied to the β (n), γ (n) operation circuit 18 (6 )
Equation (7) is calculated to obtain constants β (n) and γ (n). These β (n), γ (n) and the above x (n), x (n-1), α
Is supplied to the correction information generation circuit 19 to calculate α [β (n) x (n) + γ (n) x (n-1)] (8), and its output is supplied to the adder 21 and tapped. It is added to h (n) ′ from the coefficient storage circuit 22 to obtain h (n
+1) ′ is obtained. The calculation result h (n + 1) ′ is output to the pseudo echo path 6 and at the same time, the tap coefficient storage circuit 22
Update the value of.

【0008】以上の操作により、擬似反響路6は(1)
式に従って逐次修正され、擬似反響路6のインパルス応
答h(n) ′は真の反響路11のインパルス応答h
(n) に近づいてゆく。ES射影法は、射影法において従
来スカラ量として与えられていたステップサイズαをス
テップサイズ行列Aという対角行列に拡張し、第2の
ステップサイズμ(スカラ量)を導入したもので、反響
路11の変動特性に着目したES法と、入力信号の性質
に着目した射影法とのそれぞれの利点を生かした手法で
ある(詳細は特願平4−44649に記載されてい
る)。ここでは簡単のため、2次のES射影法について
述べる。2次のES射影法により、音声信号に対する収
束速度を学習同定法の約4倍に改善できる。2次のES
射影法により擬似反響路6は次の(9)式に従って逐次
修正され、擬似反響路6のインパルス応答h(n) ′の
真の反響路11のインパルス応答h(n) に近づいてゆ
く。h (n+1) ′=h(n) ′+μA[β(n) x(n) +γ(n) x(n-1) ](9) ただし、A =diag[α1 ,α2 ,…,αL ]:ステップサイズ
行列 αi =α0 λi-1 (i=1,2,…,L) λ:インパルス応答変動量の減衰率(0<λ<1) μ:第2のステップサイズ(スカラ量) 2次のES射影法では、過去の2個の入力信号ベクトル
x(n),x(n-1) に対して正しい出力y(n),y(n-1)
を得るようにh(n) ′を修正する。すなわち、 x(n) T h(n+1) ′=y(n) (10) x(n-1 ) Th(n+1) ′=y(n-1) (11) が成り立つように定数β(n),γ(n) を決定する。このた
め(9)式を(10)式に代入すれば β(n) x(n) T Ax(n) +γ(n) x(n-1 ) TAx(n) =e(n) (12) となる。同様に(9)式を(11)式に代入すれば β(n) x(n-1) T Ax(n) +γ(n) x(n-1 ) TAx(n-1) =(1−μ)e(n-1) (13) となる。
By the above operation, the pseudo echo path 6 becomes (1)
The impulse response h (n) ′ of the pseudo echo path 6 is corrected in accordance with the equation, and the impulse response h (n) of the true echo path 11 is
Get closer to (n). The ES projection method is a method in which the step size α, which is conventionally given as a scalar quantity in the projection method, is expanded to a diagonal matrix called a step size matrix A, and a second step size μ (scalar quantity) is introduced. This is a method that makes use of the respective advantages of the ES method focusing on the fluctuation characteristics of No. 11 and the projection method focusing on the characteristics of the input signal (details are described in Japanese Patent Application No. 4-44649). Here, for simplicity, the second-order ES projection method will be described. The second-order ES projection method can improve the convergence speed for a voice signal to about four times that of the learning identification method. Second ES
The pseudo echo path 6 is sequentially modified by the projection method according to the following equation (9), and the impulse response h (n) of the pseudo echo path 6 approaches the impulse response h (n) of the true echo path 11. h (n + 1) ′ = h (n) ′ + μA [β (n) x (n) + γ (n) x (n-1)] (9) where A = diag [α 1 , α 2 , ... , Α L ]: Step size matrix α i = α 0 λ i-1 (i = 1, 2, ..., L) λ: Attenuation rate of impulse response fluctuation amount (0 <λ <1) μ: Second step Size (scalar amount) In the second-order ES projection method, correct output y (n), y (n-1) is obtained for the past two input signal vectors x (n), x (n-1).
Modify h (n) 'to obtain That is, x (n) T h (n + 1) '= y (n) (10) x (n-1) T h (n + 1)' = y (n-1) (11) Determine the constants β (n) and γ (n). Therefore, by substituting equation (9) into equation (10), β (n) x (n) T Ax (n) + γ (n) x (n-1) T Ax (n) = e (n) (12 ). Similarly, by substituting equation (9) into equation (11), β (n) x (n-1) T Ax (n) + γ (n) x (n-1) T Ax (n-1) = (1 −μ) e (n-1) (13).

【0009】連立方程式(12)(13)をβ(n),γ(n) に
ついて解けば
Solving simultaneous equations (12) and (13) for β (n) and γ (n)

【0010】[0010]

【数2】 となる。β(n),γ(n) を(9)式に代入すれば(10)
(11)式を満足するh(n+1) ′が求まる。図9は2次
のES射影法を用いた推定回路12の内部の一例を示し
たものであり、図8と対応する部分には同一符号を付け
てある。
[Equation 2] Becomes Substituting β (n) and γ (n) into equation (9) gives (10)
H (n + 1) ′ satisfying the equation (11) is obtained. FIG. 9 shows an example of the inside of the estimation circuit 12 using the second-order ES projection method, and the parts corresponding to those in FIG.

【0011】ステップサイズ行列記憶回路24には第1
のステップサイズ行列Aが記憶される。受話信号x
(n) は受話信号記憶回路141,142 で受話信号ベクト
ルx(n) ,x(n-1) とされる。ノルム演算回路2
31 ,232 ,233 ,234 ではそれぞれ第1のステップサイズ
行列Aで重み付けたノルムx(n) T Ax(n) ,
x(n) T Ax(n-1) ,x(n-1) T Ax(n)
,x(n-1) T Ax(n-1) が演算される。これ
ら演算されたノルムと、残差信号e(n) と、残差記憶回
路16からの残差信号e(n-1) およびステップサイズ記
憶回路25からの第2のステップサイズμとは、β(n),
γ(n) 演算回路26に供給されて(14)(15)式の演算
がなされて、定数β(n),γ(n) を求める。これらβ(n)
,γ(n) ,前記x(n) ,x(n-1) ,μ,Aは修
正情報生成回路27に供給されて μA[β(n) x(n) +γ(n) x(n-1) ] (16) が演算され、その出力は加算器21へ供給されてタップ
係数記憶回路22からのh(n) ′に加算されてh(n
+1) ′が得られる。その演算結果h(n+1) ′は擬似反
響路6へ出力されると同時に、タップ係数記憶回路22
の値を更新する。
The step size matrix storage circuit 24 has a first
The step size matrix A of is stored. Received signal x
(n) is used as reception signal vectors x (n) and x (n-1) in the reception signal storage circuits 14 1 and 14 2 . Norm arithmetic circuit 2
3 1 , 23 2 , 23 3 , 23 4 , respectively, norm x (n) T Ax (n) weighted by the first step size matrix A,
x (n) T Ax (n-1), x (n-1) T Ax (n)
, X (n-1) T Ax (n-1) is calculated. The calculated norm, the residual signal e (n), the residual signal e (n-1) from the residual storage circuit 16 and the second step size μ from the step size storage circuit 25 are β (n),
The constants β (n) and γ (n) are obtained by being supplied to the γ (n) calculation circuit 26 and subjected to the calculations of equations (14) and (15). These β (n)
, Γ (n), x (n), x (n-1), μ, and A are supplied to the correction information generation circuit 27 and μA [β (n) x (n) + γ (n) x (n- 1)] (16) is calculated, and its output is supplied to the adder 21 and added to h (n) ′ from the tap coefficient storage circuit 22 to obtain h (n
+1) ′ is obtained. The calculation result h (n + 1) ′ is output to the pseudo echo path 6 and at the same time, the tap coefficient storage circuit 22
Update the value of.

【0012】以上の操作により、擬似反響路6は(9)
式に従って逐次修正され、擬似反響路6のインパルス応
答h(n) ′は真の反響路11のインパルス応答h
(n) に近づいてゆく。
By the above operation, the pseudo echo path 6 becomes (9)
The impulse response h (n) ′ of the pseudo echo path 6 is corrected in accordance with the equation, and the impulse response h (n) of the true echo path 11 is
Get closer to (n).

【0013】[0013]

【発明が解決しようとする課題】射影法およびES射影
法は、入力信号が白色信号のように定常な信号であれば
安定した動作を示す。しかし、音声信号のように語と語
の区切り、息継ぎなどによって無音区間が生じる場合に
は、射影法における(6)(7)式、およびES射影法
における(14)(15)式は、入力信号ベクトルx(n),
x(n-1) が零となって零除算を行なうことになるため
発散し、推定インパルス応答h(n) ′、即ちフィルタ
係数は大きく乱れる。その結果、このような無音区間で
は反響消去量が低下するという問題があった。実際の反
響消去装置では、入力信号がないときには適応を止める
などの対策(ダブルトーク制御)が講じられているが、
微小時間の無音区間にまでダブルトーク制御を適用する
のは困難であり、その解決策が強く求められていた。
The projection method and the ES projection method exhibit stable operation if the input signal is a stationary signal such as a white signal. However, when a silent interval is generated due to word-to-word separation, breathing, etc., like an audio signal, equations (6) and (7) in the projection method and equations (14) and (15) in the ES projection method are input. Signal vector x (n),
Since x (n-1) becomes zero and division by zero is performed, the divergence occurs and the estimated impulse response h (n) ', that is, the filter coefficient is greatly disturbed. As a result, there is a problem that the amount of echo cancellation decreases in such a silent section. In the actual echo canceller, measures such as stopping adaptation (double-talk control) are taken when there is no input signal.
It is difficult to apply the double-talk control even to a silent period of a minute time, and a solution to it has been strongly demanded.

【0014】この発明は上記の問題点に鑑みてなされた
もので微小時間の無音区間がある場合にも収束速度を遅
くすることなく反響消去量の大きな反響消去装置を提供
することを目的とする。
The present invention has been made in view of the above problems, and it is an object of the present invention to provide an echo canceling device having a large echo canceling amount without slowing the convergence speed even when there is a silent section of a minute time. .

【0015】[0015]

【課題を解決するための手段】この発明によれば正の零
除算防止用定数δが記憶部に記憶され、推定手段では射
影法あるいはES射影法に含まれる連立方程式を解く際
の計算式の分母に前記零除算防止用定数δが加えられ
る。さらに、定数δの大きさは周囲騒音レベルに応じて
適応的に決定される。
According to the present invention, a positive division constant δ for preventing division by zero is stored in the storage unit, and the estimating means uses a calculation formula for solving simultaneous equations included in the projection method or ES projection method. The zero division prevention constant δ is added to the denominator. Further, the magnitude of the constant δ is adaptively determined according to the ambient noise level.

【0016】[0016]

【作用】この発明は、上記のように構成されているか
ら、音声信号のように語と語の区切り、息継ぎなどによ
って無音区間が生じる場合にも安定に動作し、収束速度
を遅くすることなく反響消去量の大きな反消去装置を得
ることができる。射影法において(6)(7)式の分母
に正の定数δを加えることにより、次の(17)(18)式
を演算することに、微小時間の無音区間があり、x
(n),x(n-1) が0となる場合にも零除算が防止され
る。
Since the present invention is configured as described above, it operates stably even when there is a silent section due to word-to-word segmentation, breathing, etc. like a voice signal, without slowing the convergence speed. An anti-erasing device with a large amount of echo cancellation can be obtained. In the projection method, by adding a positive constant δ to the denominator of equations (6) and (7), computing the following equations (17) and (18) has a silent period of a minute time, and x
Even when (n), x (n-1) becomes 0, division by zero is prevented.

【0017】[0017]

【数3】 またES射影法において(14)(15)式の分母に正の定
数δを加えることにより、次の(19)(20)式を演算す
ることになり、微小時間の無音区間があり、x(n),
x(n-1) が0となる場合にも零除算が防止される。
[Equation 3] In the ES projection method, by adding a positive constant δ to the denominator of the equations (14) and (15), the following equations (19) and (20) are calculated, and there is a silent period of a minute time, and x ( n),
Even when x (n-1) becomes 0, division by zero is prevented.

【0018】[0018]

【数4】 δが小さ過ぎる場合には効果が期待できず、また、大き
過ぎる場合には収束速度が遅くなってしまう。δの最適
値は周囲騒音レベルに関係し、周囲騒音レベルが小さい
場合にはδの最適値は小さく、周囲騒音レベルが大きい
場合にはδの最適値は大きい。そこで、定数δの大きさ
を周囲騒音レベルに応じて適応的に決定する。
[Equation 4] If δ is too small, no effect can be expected, and if it is too large, the convergence speed becomes slow. The optimum value of δ is related to the ambient noise level. The optimum value of δ is small when the ambient noise level is low, and the optimum value of δ is large when the ambient noise level is high. Therefore, the magnitude of the constant δ is adaptively determined according to the ambient noise level.

【0019】[0019]

【実施例】図1は射影法にこの発明を適用した実施例を
示し、図8と対応する部分には同一符号を付けてある。
δ決定回路31で受話信号(入力信号)x(n) 、反響信
号y(n) 、残差信号e(n) を用いて周囲騒音レベルを検
出し、その騒音レベルに応じて正の定数(零除算防止用
定数)δを決定する。即ち、受話信号x(n) がない時の
残差信号e(n)又は反響信号y(n) (送話信号零)は反
響路11の騒音であり、また反響信号が十分抑圧された
時の残差信号e(n) (送話信号零)も反響路11の騒音
とほぼ一致する。マイクロホン3への送話信号のレベル
は、その周辺の騒音レベルより通常は十分大である。よ
って前述のようにして求めた騒音、つまり残差信号e
(n)に対するマイクロホン3からの信号y(n) の比y(n)
/e(n) は、S/Nと対応する。このS/Nに応じて
これが大きい程大きな定数δを決定する。このS/Nと
δとの関係は予めテーブルとして持っておき、求めたS
/Nでそのテーブルを参照してδを求めればよい。この
テーブルについては後述する。δ記憶回路32にはこの
決定された正の定数δが記憶される。受話信号x(n) は
受話信号記憶回路141 ,142 で受話信号ベクトル
x(n),x(n-1) とされる。ノルム演算回路151
152 ,153 ,154 ではそれぞれx(n) T
(n),x(n) T x(n-1),x(n-1) T x(n),x(n-
1) T x(n-1) が演算される。これら演算されたノル
ム、残差信号e(n),残差記憶回路16からの残差信号e
(n-1),ステップサイズ記憶回路17からのステップサイ
ズαおよびδ記憶回路32からの正の定数δは、β(n),
γ(n) 演算回路18に供給されて(17)(18)式を演算
して、定数β(n),γ(n) を求める。これらβ(n),γ(n)
と前記x(n),x(n-1),αは修正情報生成回路19に
供給されて α[β(n) x(n) +γ(n) x(n-1) ] (8) が演算され、その出力は加算器21へ供給されてタップ
係数記憶回路22からのh(n) ′に加算されてh(n
+1) ′が得られる。演算結果h(n+1) ′は擬似反響路
6へ出力されると同時に、タップ係数記憶回路22の値
を更新する。
FIG. 1 shows an embodiment in which the present invention is applied to the projection method.
The parts corresponding to those in FIG. 8 are designated by the same reference numerals.
In the δ decision circuit 31, the received signal (input signal) x (n), echo
No. y (n) and residual signal e (n) are used to detect the ambient noise level.
Output, and a positive constant (for prevention of division by zero) according to the noise level
Constant) δ is determined. That is, when there is no received signal x (n)
The residual signal e (n) or the echo signal y (n) (sending signal zero) is not reflected.
It was noise on the echo path 11, and the echo signal was sufficiently suppressed.
The residual signal e (n) at time (sending signal zero) is also the noise on the echo path 11.
Almost matches. Level of transmission signal to microphone 3
Is usually well above the noise level in its surroundings. Yo
Therefore, the noise obtained as described above, that is, the residual signal e
Ratio y (n) of signal y (n) from microphone 3 to (n)
 / E (n) corresponds to S / N. Depending on this S / N
The larger this is, the larger the constant δ is determined. With this S / N
The relationship with δ is stored in advance as a table, and the calculated S
It is sufficient to find δ by referring to the table with / N. this
The table will be described later. This is stored in the δ memory circuit 32.
The determined positive constant δ is stored. The received signal x (n) is
Received signal storage circuit 141, 142Incoming signal vector
x (n), x (n-1). Norm calculation circuit 151
152, 153, 15FourThen x (n)Tx
(n), x (n) Tx (n-1), x (n-1)Tx (n), x (n-
1)Tx (n-1) is calculated. These calculated nor
The residual signal e (n), the residual signal e from the residual storage circuit 16
(n-1), the step size from the step size storage circuit 17
The positive constant δ from the α and δ storage circuit 32 is β (n),
It is supplied to the γ (n) calculation circuit 18 and calculates equations (17) and (18)
Then, the constants β (n) and γ (n) are obtained. These β (n) and γ (n)
And x (n), x (n-1), α are stored in the correction information generation circuit 19.
Is supplied and α [β (n) x (n) + γ (n) x (n-1)] (8) is calculated, and the output is supplied to the adder 21 and tapped.
It is added to h (n) ′ from the coefficient storage circuit 22 to obtain h (n
+1) ′ is obtained. The calculation result h (n + 1) ′ is the pseudo echo path
6 is output to the tap coefficient storage circuit 22 at the same time.
To update.

【0020】以上の操作により、擬似反響路6は(1)
式に従って逐次修正され、擬似反響路6のインパルス応
答h(n) ′は真の反響路11のインパルス応答h
(n) に近づいてゆく。図2はES射影法にこの発明を適
用した実施例を示したものであり、図9と対応する部分
には同一符号を付けてある。
By the above operation, the pseudo echo path 6 becomes (1)
The impulse response h (n) ′ of the pseudo echo path 6 is corrected in accordance with the equation, and the impulse response h (n) of the true echo path 11 is
Get closer to (n). FIG. 2 shows an embodiment in which the present invention is applied to the ES projection method, and the portions corresponding to those in FIG. 9 are designated by the same reference numerals.

【0021】δ決定回路31で受話信号x(n) 、反響信
号y(n) 、残差信号e(n) を用いて周囲騒音レベルを検
出し、その騒音レベルに応じて正の定数δを決定する。
δ記憶回路32にはその決定した正の定数δが記憶され
る。ステップサイズ行列記憶回路24には第1のステッ
プサイズ行列Aが記憶される。受話信号x(n) は受話
信号記憶回路141 ,142 で受話信号ベクトルx
(n),x(n-1) とされる。ノルム演算回路231 ,23
2 ,233 ,234 ではそれぞれ第1のステップサイズ
行列Aで重み付けたノルムx(n) T Ax(n),
x(n) T Ax(n-1),x(n-1) T Ax(n),
x(n-1) T Ax(n-1) が演算される。これら演算
されたノルム、残差信号e(n) 、残差記憶回路16から
の残差信号e(n-1) 、ステップサイズ記憶回路25から
の第2のステップサイズμおよびδ記憶回路32からの
正の定数δは、β(n),γ(n) 演算回路26に供給されて
(19)(20)式の演算を行って、定数β(n),γ(n) を求
める。μ,A,β(n),γ(n),x(n),x(n-1) は修
正情報生成回路27に供給されて μA[β(n) x(n) +γ(n) x(n-1) ] (16) が演算され、その出力は加算器21へ供給されてタップ
係数記憶回路22からのh(n) ′に加算されてh(n
+1) ′が得られる。その演算結果h(n+1) ′は擬似反
響路6へ出力されると同時に、タップ係数記憶回路22
の値を更新する。
The δ determination circuit 31 detects the ambient noise level using the received signal x (n), the echo signal y (n) and the residual signal e (n), and a positive constant δ is determined according to the noise level. decide.
The determined positive constant δ is stored in the δ storage circuit 32. The step size matrix storage circuit 24 stores the first step size matrix A. The reception signal x (n) is received by the reception signal storage circuits 14 1 and 14 2 and the reception signal vector x
(n), x (n-1). Norm operation circuit 23 1 , 23
2 , 23 3 , and 23 4 , respectively, norm x (n) T Ax (n), weighted by the first step size matrix A,
x (n) T Ax (n-1), x (n-1) T Ax (n),
x (n-1) T Ax (n-1) is calculated. From these calculated norm, residual signal e (n), residual signal e (n-1) from residual memory circuit 16, and second step size μ and δ memory circuit 32 from step size memory circuit 25. The positive constant δ of is supplied to the β (n), γ (n) calculation circuit 26 and the equations (19) and (20) are calculated to obtain the constants β (n), γ (n). μ, A, β (n), γ (n), x (n), x (n-1) are supplied to the correction information generation circuit 27 and μA [β (n) x (n) + γ (n) x (n-1)] (16) is calculated, and its output is supplied to the adder 21 and added to h (n) 'from the tap coefficient storage circuit 22 to obtain h (n
+1) ′ is obtained. The calculation result h (n + 1) ′ is output to the pseudo echo path 6 and at the same time, the tap coefficient storage circuit 22
Update the value of.

【0022】以上の操作により、擬似反響路6は(9)
式に従って逐次修正され、擬似反響路6のインパルス応
答h(n) ′は真の反響路のインパルス応答h(n) に
近づいてゆく。図3はサブバンドエコーキャンセラにこ
の発明を適用した実施例を示したものであり、図7と対
応する部分には同一符号を付けてある。
By the above operation, the pseudo echo path 6 becomes (9)
The impulse response h (n) 'of the pseudo echo path 6 approaches the impulse response h (n) of the true echo path, which is corrected sequentially according to the equation. FIG. 3 shows an embodiment in which the present invention is applied to a subband echo canceller, and parts corresponding to those in FIG. 7 are designated by the same reference numerals.

【0023】サブバンドエコーキャンセラは、信号を複
数の周波数帯域に分割し、それぞれの帯域に擬似反響路
(適応フィルタ)を設け、それぞれの帯域で独立に反響
信号を消去するものである。受話入力端1からの受話信
号x(t) は周波数帯域分割回路35で周波数帯域別のN
個の実数信号xk (m) (k=0,1,…,N−1)に分
割される。同様にマイクロホン3からの反響信号y(t)
は周波数帯域分割回路36で周波数帯域別のN個の実数
信号yk (m) に分割される。
The subband echo canceller divides a signal into a plurality of frequency bands, provides a pseudo echo path (adaptive filter) in each band, and cancels the echo signal independently in each band. The reception signal x (t) from the reception input terminal 1 is sent to the frequency band division circuit 35 to obtain N signals for each frequency band.
Are divided into real number signals x k (m) (k = 0, 1, ..., N−1). Similarly, the echo signal y (t) from the microphone 3
Is divided into N real number signals y k (m) for each frequency band by the frequency band division circuit 36.

【0024】それぞれの周波数帯域と対応した擬似反響
路6k に分割された受話信号xk (m) が入力され、擬似
反響路6k からの擬似反響信号yk (m) を反響信号yk
(m)から減算器8k で差し引くことにより反響信号y
k (m) は消去される。ここで擬似反響路6k は反響路1
1の経時変動に追従する必要があり、残差信号ek (m)
=yk (m) −yk (m) が0に近づくように、射影法また
はES射影法を用いた推定回路12k によって逐次推定
され、擬似反響路6k の修正が行なわれることによっ
て、常に最適な反響消去が維持される。
The received signal x k (m) divided into the pseudo echo path 6 k corresponding to each frequency band is input, and the pseudo echo signal y k (m) from the pseudo echo path 6 k is input to the echo signal y k.
By subtracting from (m) with a subtractor 8 k , the echo signal y
k (m) is deleted. Here, the pseudo echo path 6 k is the echo path 1
It is necessary to follow the temporal change of 1 and the residual signal e k (m)
= Y k (m) −y k (m) is sequentially estimated by the estimation circuit 12 k using the projection method or ES projection method so that the pseudo echo path 6 k is corrected so that it approaches 0. Optimal echo cancellation is always maintained.

【0025】各周波数帯域の残差信号ek (m) は周波数
帯域合成回路37で全周波数帯域の残差信号e(t) に合
成される。音声信号のパワーは低周波数帯域に集中して
おり、高周波数帯域には少ない。そのため、高周波数帯
域ほど無音区間が多くなる。その結果、零除算により発
散し反響消去量が低下するという問題は高周波数帯域ほ
ど深刻になる。そこで、第k番目の周波数帯域の推定回
路12k の内部に、図1又は2に示した場合と同様に定
数δを用いる。定数δの大きさは各周波数帯域ごとに、
各周波数帯域における周囲騒音レベルに応じて適応的に
決定する。この各定数δの決定は図1中のδ決定回路3
1について述べたと同様にして行えばよい。この場合、
S/Nとδとの関係テーブルは各周波数帯域に対して共
通のものを用いる。このように各周波数帯域ごとにδを
用いることにより、各周波数帯域において零除算による
発散が防止され、収束速度を遅くすることなく反響消去
量の大きな反響消去装置を提供することができる。
The residual signal e k (m) of each frequency band is combined by the frequency band combining circuit 37 into the residual signal e (t) of the entire frequency band. The power of the audio signal is concentrated in the low frequency band and is low in the high frequency band. Therefore, the higher the frequency band, the greater the number of silent sections. As a result, the problem that the amount of echo cancellation decreases due to division by zero becomes more serious in the higher frequency band. Therefore, the constant δ is used in the estimation circuit 12 k of the kth frequency band, as in the case shown in FIG. 1 or 2. The magnitude of the constant δ is
It is adaptively determined according to the ambient noise level in each frequency band. The determination of each constant δ is performed by the δ determination circuit 3 in FIG.
It may be performed in the same manner as described in 1. in this case,
A common relation table between S / N and δ is used for each frequency band. By using δ for each frequency band in this way, divergence due to division by zero is prevented in each frequency band, and it is possible to provide an echo canceller with a large echo canceling amount without slowing the convergence speed.

【0026】この発明装置における収束特性の計算機シ
ミュレーションを行なった。計算機シミュレーションに
は実測したインパルス応答(512タップ、サンプリン
グ周波数8kHz)を使用した。受話信号には日本語お
よび英語の音声信号を用い、反響信号にはS/N比=7
〜41dBとなるように近端雑音を加えた。図4は反響
消去量の収束特性の計算機シミュレーション結果であ
る。従来の2次の射影法(実線)では音声の無音区間に
反響消去量が0dB以下にまで劣化している。これに対
して、この発明(破線)では、収束速度を遅くすること
なく音声の無音区間においても10dB以上の反響消去
量を保持している。その結果、無音区間後の反響消去量
も従来のものに比べて10dB以上大きくできることが
分かる。
A computer simulation of the convergence characteristic in the device of the present invention was performed. The measured impulse response (512 taps, sampling frequency 8 kHz) was used for the computer simulation. Japanese and English voice signals are used for the reception signal and S / N ratio = 7 for the echo signal.
Near-end noise was added so as to be ˜41 dB. FIG. 4 is a computer simulation result of the convergence characteristic of the echo cancellation amount. In the conventional second-order projection method (solid line), the echo cancellation amount deteriorates to 0 dB or less in the silent section of the voice. On the other hand, in the present invention (broken line), the echo canceling amount of 10 dB or more is held even in the silent section of the voice without slowing the convergence speed. As a result, it can be seen that the amount of echo cancellation after the silent section can be increased by 10 dB or more as compared with the conventional one.

【0027】図5は反響消去量の収束特性の50回の平
均値である。従来の2次の射影法(実線)に比べて収束
速度を遅くすることなく10dB以上も定常反響消去量
を大きくできることが分かる。図6は学習開始後3秒間
の平均反響消去量が最大となるときのδを最適値として
求め、S/N比との関係として表示したものである。δ
は分母項の平均で正規化してあり、分母項の平均値に対
してデシベルで表示されている。δの最適値はS/N比
と簡単な対応関係にあり、S/N比を求めて図6の関係
に従ってδを決定すれば、最適な反響消去が達成でき
る。この図6の関係を予め求め、これを前述したように
テーブルとしてもっておくことにより、騒音レベルに応
じて適応的にδを変更することができる。
FIG. 5 shows the average value of the convergence characteristics of the echo canceling amount 50 times. It can be seen that the steady echo cancellation amount can be increased by 10 dB or more without slowing the convergence speed as compared with the conventional second-order projection method (solid line). FIG. 6 shows δ when the average echo cancellation amount becomes maximum for 3 seconds after the start of learning as an optimum value and displays it as a relationship with the S / N ratio. δ
Is normalized by the mean of the denominator term and is displayed in decibels with respect to the mean value of the denominator term. The optimum value of δ has a simple correspondence relationship with the S / N ratio, and optimum echo cancellation can be achieved by obtaining the S / N ratio and determining δ according to the relationship of FIG. By obtaining the relationship of FIG. 6 in advance and storing it as a table as described above, δ can be adaptively changed according to the noise level.

【0028】上述では零除算防止用定数δを、適応的に
変更したが、反響消去装置を用いる環境に応じて、その
騒音レベルがある範囲内にあることがある。このような
場合は、その平均騒音レベルに応じた定数δを固定的に
設定してもよい。サブバンドエコーキャンセラにおいて
は、低い帯域のδは小さく、高い帯域のδは大きな値に
それぞれ固定的に設定されることになる。拡声通話系で
は人の移動などによる反響路の変動が多く、これに迅速
に適応できることは大きな利点となる。
Although the zero division preventing constant δ is adaptively changed in the above description, the noise level may be within a certain range depending on the environment in which the echo canceller is used. In such a case, the constant δ according to the average noise level may be fixedly set. In the subband echo canceller, δ in the low band is small and δ in the high band is fixedly set to a large value. In a voice call system, there are many fluctuations in the echo path due to the movement of people, and being able to quickly adapt to this is a great advantage.

【0029】以上、擬似反響路のディジタルフィルタと
してFIRフィルタで説明したが、他の任意のディジタ
ルフィルタであってもよい。また、推定回路12の反響
路推定アルゴリズムとして2次の射影法あるいは2次の
ES射影法で説明したが、2次以上の射影法あるいはE
S射影法であってもよい。
Although the FIR filter has been described above as the digital filter of the pseudo echo path, any other digital filter may be used. Further, as the echo path estimation algorithm of the estimation circuit 12, the quadratic projection method or the quadratic ES projection method has been described.
The S projection method may be used.

【0030】[0030]

【発明の効果】以上説明したように、この発明によれ
ば、射影法あるいはES射影法に含まれる連立方程式を
解く際の零除算を防止するため、計算式の分母に正の定
数δを加えることにより、微小時間の無音区間がある場
合にも零除算を防止し、さらに、定数δの大きさを周囲
騒音レベルに応じて適応的に決定するようにしたから、
音声信号のように語と語の区切り、息継ぎなどによって
無音区間が生じる場合にも安定に動作し、収束速度を遅
くすることなく反響消去量の大きな反消去装置を得るこ
とができる。従って通話品質が改善される効果がある。
As described above, according to the present invention, in order to prevent division by zero when solving simultaneous equations included in the projection method or ES projection method, a positive constant δ is added to the denominator of the calculation formula. This prevents division by zero even when there is a silent period of a minute time, and further, the magnitude of the constant δ is adaptively determined according to the ambient noise level.
It is possible to obtain an anti-erasing device having a large echo canceling amount, which operates stably even when a silent section is generated due to word-to-word segmentation, breathing or the like like an audio signal, without slowing the convergence speed. Therefore, there is an effect that the call quality is improved.

【図面の簡単な説明】[Brief description of drawings]

【図1】この発明を射影法に適用した推定回路の実施例
を示すブロック図。
FIG. 1 is a block diagram showing an embodiment of an estimation circuit in which the present invention is applied to a projection method.

【図2】この発明をES射影法に適用した推定回路の実
施例を示すブロック図。
FIG. 2 is a block diagram showing an embodiment of an estimation circuit in which the present invention is applied to the ES projection method.

【図3】この発明をサブバンドエコーキャンセラに適用
した実施例を示すブロック図。
FIG. 3 is a block diagram showing an embodiment in which the present invention is applied to a subband echo canceller.

【図4】この発明と従来装置の収束過程のシミュレーシ
ョン結果を示す説明図。
FIG. 4 is an explanatory diagram showing a simulation result of a convergence process of the present invention and a conventional device.

【図5】この発明と従来装置の収束過程のシミュレーシ
ョン結果を示す説明図(50回の平均値)。
FIG. 5 is an explanatory diagram (50 average values) showing simulation results of a convergence process of the present invention and a conventional device.

【図6】δの最適値とS/N比との関係のシミュレーシ
ョン結果を示す説明図。
FIG. 6 is an explanatory diagram showing a simulation result of the relationship between the optimum value of δ and the S / N ratio.

【図7】従来の反響消去装置の一例を示すブロック図。FIG. 7 is a block diagram showing an example of a conventional echo canceller.

【図8】従来の射影法を用いた推定回路12の内部の一
例を示すブロック図。
FIG. 8 is a block diagram showing an example of the inside of an estimation circuit 12 using a conventional projection method.

【図9】従来のES射影法を用いた推定回路12の内部
の一例を示すブロック図。
FIG. 9 is a block diagram showing an example of the inside of an estimation circuit 12 using a conventional ES projection method.

───────────────────────────────────────────────────── フロントページの続き (72)発明者 羽田 陽一 東京都千代田区内幸町1丁目1番6号 日 本電信電話株式会社内 ─────────────────────────────────────────────────── ─── Continued Front Page (72) Inventor Yoichi Haneda 1-1-6 Uchisaiwaicho, Chiyoda-ku, Tokyo Nihon Telegraph and Telephone Corporation

Claims (3)

【特許請求の範囲】[Claims] 【請求項1】 反響路への入力信号を、ディジタルフィ
ルタで構成された擬似反響路へ通して擬似反響信号を
得、 その擬似反響信号を、上記入力信号が上記反響路を経由
した反響信号から差し引いて上記反響信号を消去し、 上記反響信号から上記擬似反響信号を差し引いた残差信
号と上記入力信号とから推定手段で射影法あるいはES
射影法により上記反響路のインパルス応答を逐次推定し
て、上記擬似反響路に設定する反響消去装置において、 零除算防止用定数を記憶する記憶部を備え、 上記推定手段は、上記射影法あるいはES射影法に含ま
れる連立方程式の解の演算における分母に上記零除算防
止用定数を加算して行う手段であることを特徴とする反
響消去装置。
1. An input signal to an echo path is passed through a pseudo echo path formed by a digital filter to obtain a pseudo echo signal, and the pseudo echo signal is obtained from the echo signal whose input signal has passed through the echo path. The echo signal is subtracted to eliminate the echo signal, and the residual signal obtained by subtracting the pseudo echo signal from the echo signal and the input signal are estimated by the projection method or ES.
In the echo canceller that sequentially estimates the impulse response of the echo path by the projection method and sets it in the pseudo echo path, a storage unit that stores a constant for division by zero is provided, and the estimation means is the projection method or ES. An echo canceller, which is a means for adding the zero division prevention constant to a denominator in a solution calculation of simultaneous equations included in the projection method.
【請求項2】 上記入力信号及び上記反響信号はそれぞ
れ複数サブバンドに周波数帯域が分別され、これら対応
サブバンドごとに上記推定手段、上記擬似反響路、上記
記憶部がそれぞれ設けられて反響信号消去がなされ、上
記記憶部の上記零除算防止用定数は高い周波数帯のもの
が低い周波数帯のものより大とされていることを特徴と
する請求項1記載の反響消去装置。
2. The input signal and the echo signal are each divided into frequency bands into a plurality of subbands, and the estimation means, the pseudo echo path, and the storage unit are provided for each corresponding subband to eliminate the echo signal. The echo canceller according to claim 1, wherein the zero division prevention constant of the storage section is set to be larger in a high frequency band than in a low frequency band.
【請求項3】 上記反響路の騒音レベルに応じて適応的
に上記零除算防止用定数を決定して上記記憶部に記憶す
る手段を備えることを特徴とする請求項1又は2記載の
反響消去装置。
3. The echo canceller according to claim 1, further comprising means for adaptively determining the zero division prevention constant according to the noise level of the echo path and storing the constant in the storage unit. apparatus.
JP00559694A 1994-01-24 1994-01-24 Echo canceller Expired - Lifetime JP3180543B2 (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
JP00559694A JP3180543B2 (en) 1994-01-24 1994-01-24 Echo canceller

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
JP00559694A JP3180543B2 (en) 1994-01-24 1994-01-24 Echo canceller

Publications (2)

Publication Number Publication Date
JPH07212278A true JPH07212278A (en) 1995-08-11
JP3180543B2 JP3180543B2 (en) 2001-06-25

Family

ID=11615619

Family Applications (1)

Application Number Title Priority Date Filing Date
JP00559694A Expired - Lifetime JP3180543B2 (en) 1994-01-24 1994-01-24 Echo canceller

Country Status (1)

Country Link
JP (1) JP3180543B2 (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6223194B1 (en) 1997-06-11 2001-04-24 Nec Corporation Adaptive filter, step size control method thereof, and record medium therefor
JPWO2012046582A1 (en) * 2010-10-08 2014-02-24 日本電気株式会社 Signal processing apparatus, signal processing method, and signal processing program

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US6223194B1 (en) 1997-06-11 2001-04-24 Nec Corporation Adaptive filter, step size control method thereof, and record medium therefor
JPWO2012046582A1 (en) * 2010-10-08 2014-02-24 日本電気株式会社 Signal processing apparatus, signal processing method, and signal processing program
US9805734B2 (en) 2010-10-08 2017-10-31 Nec Corporation Signal processing device, signal processing method and signal processing program for noise cancellation

Also Published As

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