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# WOLA滤波器组信道化接收机技术

Vol.37 No.1 Jan. 2008

WOLA滤波器组信道化接收机技术

(电子科技大学电子工程学院 成都 610054)

【摘要】多相DFT滤波器组是实现信道化接收机的一种高效结构，但是该结构要求信道数目与抽取倍数必须相等，限制

WANG Hong，L? You-xin，WANG Xue-gang
(School of Electronic Engineering, University of Electronic Science and Technology of China Chengdu 610054)

Abstract Polyphase discrete Fourier transform (PDFT) filterbank is an efficient structure for channelized receiver, but its flexibility is limited by the fixed relationship between decimating factor and channel number. In this paper, a flexible and efficient channelized receiver structure is proposed with weighted overlap-add filterbanks. The shift of window is replaced by the shift of input signals. DFT is employed after weighting, overlapping, and adding. The structure gets rid of the fixed relationship in PDFT structure, but realizes same functions. So the proposed structure is a generalized form of PDFT structures. The simulation results show the effectiveness of the new structures.
Key words channelized receiver; polyphase DFT filterbanks; short-time Fourier transform; weighted overlap-add filterbanks

1 多相DFT滤波器组结构

[6-8]。信道化接收机常采用滤波器组来分选不同频率

∑ X k (m) = h(mD ? n)x(n)e? jwkn = n=?∞ ∞ ∑ h(mD ? n)x(n)WK?kn n = ?∞

k = 0,1,L, K ?1

(1)

pi (n) = h(nK ? i)

xi (n) = x(nK + i) i = 0,1,L, K ? 1

(2)

pi (n) 是滤波器 h(n) 的多相形式。若 D = K ，

44

∑∞

? j2π k n

X k (m) = h(mD ? n)x(n)e K =

n = ?∞

∑ ∑ K ?1 ∞

j2π k (rK ?i)

h(rK ? i)x(mK ? rK + i)e K =

i=0 r =?∞

∑ ∑ K ?1 ∞

? j2π k i

pi (r)xi (m ? r)e K =

i=0 r =?∞

DFT[ pi (m) ? xi (m)]

(3)

e? jw0n

h(n)

X0 (m) ↓D

x(n)

e? jw1n …

h(n) …

e? jwk?1n

h(n)

X1(m) ↓D

X k?1(m) ↓D

x0 (m) p0 (m)

X0 (m)

x(n)

x1 ( m)

p1 (m)

xK ?1 (m) pK ?1 (m)

X1(m)

K点

DFT

X K?1(m)

2 WOLA滤波器组结构
WOLA结构最初应用于短时傅里叶变换，短时 傅里叶变换也称为加窗傅里叶变换。即对信号在时 域加窗后再作傅里叶变换，可以求出信号的局部谱， 离散短时傅里叶变换的定义为[2]：

∑ STFTx (m) = w* (m ? n)x(n)e? jwn

(4)

n = ?∞

w*(m ? n) 为时间窗； m 为时间窗的延迟参

∑ X k (m) = h(?r)x(r + mD)WK?k(r+mD) = r =?∞

∑ W ?kmD K

h(?r)x(r + mD)WK?kr =

r =?∞

W ?kmD K

X%

k

(m)

(5)

y%m (r) = h(?r)x(r + mD)

(6)

∑ x%m (r) = y%m (r + lK ) = l =?∞

∑ h(?r ? lK )x(r + lK + mD)

l =?∞

r = 0,1L, K ?1

(7)

K ?1

∑ X% k (m) = x%m (r)WK?kr

(8)

r=0

~ym (r)

x%m (r)

W ?kmD K
X K (m)

DFT X% K (m)

45

X(1:L) …

h(?r)

… +…+

+

+

(1:K) =

K 点 FFT
W ?kmD K
Xk (m) 图3 信道化接收机的WOLA结构

3 设计实例

0

?10

?20

?30

?4?0400

?300 ?200 ?100 0 100 200 f/Hz

300 400

0 ?10
?20
?30 ?50 ?40 ?30 ?20 ?10 0 10 20 30 40 50 f/Hz 信道 2 0
?10
?20
?30 ?50 ?40 ?30 ?20 ?10 0 10 20 30 40 50 f/Hz 信道 3 0
?10 ?20 ?30
?50 ?40 ?30 ?20 ?10 0 10 20 30 40 50 f/Hz

46

1

0

?1

50

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250

t/s

1

0

?1

50

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t/s

1

0

?1

50

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t/s

4 结束语

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[2] CROCHIERE R E, RABINER L R. Multirate digital signal processing[M]. [S.l.]: Prentice-Hall Inc, 1983.
[3] BRENNAN R, SCHNEIDER T. An ultra low-power DSP system with a flexible filterbank[C]//The Thirty-Fifth Asilomar Conference on Signals, Systems and Computers. Pacific Grove, CA: IEEE, 2001: 809-813.
[4] BRENNAN R, SCHNEIDER T. A flexible filterbank structure for extensive signal manipulations in digital hearing aids[C]//Proc of International Symposium on Circuits and Systems. Monterey, CA: IEEE, 1998: 569-572.
[5] NIELS, P TANJA K, TRUONG Q. A general formulation of modulated filter banks[J]. IEEE Transactions on Signal Processing, 2004, 47(4): 986-1002.
[6] 刘开文. 基于短时综合相加法的语音盲信号分离的研究 及其DSP实现[D]. 成都: 四川大学, 2004.
[7] 周良臣, 吕幼新. 基于DFT滤波器组的宽带信号谱分析方 法[J]. 信号处理, 2004, 20(4): 217-220.
[8] 蒋宗明, 唐 斌, 吴 伟. 基于DFT滤波器组的多信号高 效 数 字 下 变 频 [J]. 电 子 科 技 大 学 学 报 , 2005, 34(6): 743-746.

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(上接第26页)

[6] FUJISAKI E, OKAMOTO T. Statistical zero knowledge

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