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关于重采样的问题,麻烦大神帮忙看看

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发表于 2019-8-15 15:02 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式

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自己在matlab里面编的一个重采样程序,但是效果很差,而且输出前一段数据有错,麻烦路过的大神帮我看看?

%input data- u4 J- o$ J$ o- T
fa = 8000; %%signal frequency
) J0 S3 q) a0 Zfs = 44100; %%44.1kHz sampling frequency
  g  J8 D& Z+ U; j3 [9 b# wn = 1:64;4 q/ n  `; t) w/ z2 t: E
x = sin(2*pi*fa*n/fs);
+ @3 ^  s5 n8 @lengthx = length(x);  l7 N9 G$ i* e
t = n*1000/128/fs;
9 Z4 P+ T- {4 y- I+ W: ?1 ?, f( J%plot(t,x);xlabel('time in ms');

% [y fs nbits] = wavread('acoustic.wav');
# \& [+ C: N6 J. ]2 O  z% x = y';
' N% F, y% ?* E( E* z8 Y/ o$ Q% lx = length(x);' }1 X) v( I, p3 L, Z2 M* D
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
9 i& P$ @2 Y* @1 S3 S* Z4 z( F( ]. x%Resample parameters: Y  ]) W  D& S' M; f" w$ _' U6 k! S3 i
L1 = 8;: M, R" z1 W, R5 N  h
M1 = 7;
: h7 t1 K6 n+ `1 U* P& }, y; QL2 = 4;* D* {, U6 q* L* m+ O- \- Y
M2 = 3;! f$ Q$ l& I6 m  _' V  t. ?
L3 = 10;
7 f/ k8 c& A7 r' ?M3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%. q) k- U' ~' q4 S( t# q
%%filters2 H1 T' h4 \! [6 ?* U
load filter.mat
& i; q/ K7 X/ w* p2 b3 Ffilter1 = b1;
: J$ S, n5 v4 u0 Mfilter2 = b2;
1 i% }$ x$ o; g; yfilter3 = b3;* o) @+ ^' S6 m# h
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
7 s% ?$ ~9 o' B9 B7 i%Initialize the subfilters

%First Filter2 A2 \4 ]9 c3 y0 ?3 ~
upFilter1 = decompose(filter1,L1);& R2 T( G9 I' A; \/ W& n9 n
downFilter1 = decompose(filter1,M1);

%Second Filter
5 V' s6 g, X/ u5 mupFilter2 = decompose(filter2,L2);# I3 I- k, T4 ?# a: [1 w
downFilter2 = decompose(filter2,M2);

%Second Filter
6 d) l$ N0 T8 }& n; hupFilter3 = decompose(filter3,L3);) S4 Q" U8 o( g# P! P( N
downFilter3 = decompose(filter3,M3);

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- }4 |8 g( Y5 Y%Polyphase Filtering

%First Filter
! C% {- b" q5 e%
7 p" H2 G7 `4 k0 @& u%%upsampling( w, |0 q1 a" M* }3 t/ `
intermediatex1 = zeros(L1,length(x));  k, e' J( l1 q1 X9 P
x11 = zeros(L1,length(x)*L1);) d) ]( L/ {+ ~% ~$ G
for i = 11
4 Q, f) h# E2 q" T' Hintermediatex1(i, = filter(upFilter1(i,,1,x); %%do the filtering before upsampling
) x' u, ]+ I# ^5 F+ d) M* bx11(i, = upsample(intermediatex1(i,:),L1); %%upsample by L, inserting L-1 zeros.$ c3 |$ T7 N( N
end

X1 = zeros(1,length(x)*L1);" W# f0 {; g; k) V- p
for i = 1:length(x)
, T2 T6 O' g' A/ t% w" @X1(L1*(i-1)+11*(i-1)+L1) = x11(:,(i-1)*L1+1)';
- A; ?2 @0 l: s5 f( C8 P( fend
+ V, e1 i3 q" |( v  i* K* b9 ]%%downsampling$ j8 o$ F5 c8 \, s* h+ k) `
X1_down = [X1 zeros(1,M1-mod(length(X1),M1))];% \: P* t/ r( F; n! L
output1 = zeros(1,length(X1_down)/M1);
6 c7 Q" r( Q/ L- q- Cx1down = zeros(M1,length(X1_down)/M1);, ?% v, a- q' Y# u9 q  L8 x8 }
x11down = x1down;) K  _+ X- \1 v+ u7 q1 v$ y
for i = 1:M1
: C" T' h& R% Yfor k = 1:length(X1_down)/M1' g9 L6 }3 t/ r3 a( D3 F6 _" W( ~
x1down(i,k) = X1_down(M1*(k-1)+i);
6 Y; P* Y5 y8 D" v: _/ f; M9 pend0 A# U, g! g7 V3 \8 d2 j* e9 g6 ?
x11down(i,:) = filter(downFilter1(1,:),1,x1down(i,:));, @8 t0 A4 F  }
output1 = output1 + x11down(i,:);
0 a' N- L3 i5 `9 P3 E" s" b7 L" fend

%Second Filter9 N$ s& @4 T  w# G& l
%3 |' d: F& A% j1 d- l& U1 {% G7 a
%%upsampling( k9 Q; M$ K1 `7 M6 r+ y8 C2 ?0 v
intermediatex2 = zeros(L2,length(output1));3 C, N/ H+ A: ]. a
x22 = zeros(L2,length(output1)*L2);( k2 |) `# x1 l" c
for i = 12+ a5 `5 \" n- c6 X9 X& }
intermediatex2(i,:) = filter(upFilter2(i,:),1,output1); %%do the filtering before upsampling2 [7 j" H. V9 ~; f' C; q
x22(i,:) = upsample(intermediatex2(i,:),L2); %%upsample by L, inserting L-1 zeros.
: F% S& j( j7 B3 eend

X2 = zeros(1,length(output1)*L2);
: k: y8 v: y9 W& o9 B  Lfor i = 1:length(output1)
1 B6 z7 {0 H- T0 c- H& jX2(L2*(i-1)+1:L2*(i-1)+L2) = x22(:,(i-1)*L2+1)';
5 ?* R+ E) [$ K3 oend) O7 n) F( U; \
%%downsampling  o0 e2 y: W! T2 [7 |  g
X2_down = [X2 zeros(1,M2-mod(length(X2),M2))];
4 M- X3 L( t' X* _' t' ?% Noutput2 = zeros(1,length(X2_down)/M2);
( A4 \4 x% C3 s9 a4 D- G9 P3 i' h$ jx2down = zeros(M2,length(X2_down)/M2);) C: C4 Y! V2 U* V
x22down = x2down;# w; |2 U7 Q3 ^2 \6 h" e( g
for i = 1:M2
$ z1 P. Z1 z8 X6 jfor k = 1:length(X2_down)/M23 m1 t. p7 Q$ n+ i" q- I
x2down(i,k) = X2_down(M2*(k-1)+i);' o: S$ `2 j& E. h$ Y7 A# k/ K
end* I1 W1 e+ S% W, E: ^  ~. `
x22down(i,:) = filter(downFilter2(1,:),1,x2down(i,:));
# q7 n- P/ |* loutput2 = output2 + x22down(i,:);
4 d4 j0 n1 k; j0 F* t* jend

%Third Filter
7 Y$ R+ z; ?4 Q2 E%
1 f" M: e* q9 z7 h! h( m: p3 v%%upsampling
+ H# Y& \8 r# I: J  Rintermediatex3 = zeros(L3,length(output2));: u- h0 e5 E9 t& p" h8 `3 h
x33 = zeros(L3,length(output2)*L3);, _" \) P8 {$ A5 E8 ^+ Y* Z! r4 t; v
for i = 1:L3& q( m- I, p% @4 K" A1 q, x) L
intermediatex3(i,:) = filter(upFilter3(i,:),1,output2); %%do the filtering before upsampling
# s1 d& A* V6 q# w4 e# s% b, Sx33(i,:) = upsample(intermediatex3(i,:),L3); %%upsample by L, inserting L-1 zeros.
( P, F! h9 h/ X, ~9 S# `$ Lend

X3 = zeros(1,length(output2)*L3);. s6 k  K8 V: K$ Y' r% Z' X
for i = 1:length(output2)
5 K( x, N1 n% m3 x0 a1 p8 ^X3(L3*(i-1)+1:L3*(i-1)+L3) = x33(:,(i-1)*L3+1)';
: J, }9 O9 N' C9 d. x) M3 iend: R( v0 n$ Y, a7 m+ I
%%downsampling
3 k7 {5 _; J7 P6 f! PX3_down = [X3 zeros(1,M3-mod(length(X3),M3))];
& ^: Z+ g$ f: M, L) j* koutput3 = zeros(1,length(X3_down)/M3);
5 ~, E: a8 {% N- Rx3down = zeros(M3,length(X3_down)/M3);
4 [) y2 v% a1 Q8 w" A/ M7 gx33down = x3down;! L. k  o0 t! g9 H
for i = 1:M3, b4 c) {7 N( f: ~! p) z6 ^# ^8 v1 e
for k = 1:length(X3_down)/M30 |# H/ D6 q6 S/ ?, ~0 J/ @4 k) n7 G
x3down(i,k) = X3_down(M3*(k-1)+i);' Q2 J" `# _" [2 I2 }
end& T" z$ i, ^1 l& ]7 E/ _
x33down(i,:) = filter(downFilter3(1,:),1,x3down(i,:));
: }4 z) K. h. a6 y4 M' goutput3 = output3 + x33down(i,:);5 o8 E$ w6 q- W- {4 W8 K9 |5 e7 O3 Y3 ^. G
end

output3 = output3/max(output3);4 m$ W# ?  Q% B/ M' O
lout = length(output3);

nx = 1:length(output3);
6 y% d5 [) P9 |- b' dxorigin = sin(2*pi*fa*nx/96000);
. f6 f. G- ^, W0 uerror1 = xorigin - output3;
* H( B: _. f5 T& Iyin = [0 0 resample(x,320,147)];
% D7 m. F, y+ P8 T' o1 Derror2 = xorigin - yin;

figure(1)
7 q7 u( W" Z5 Y8 Xsubplot(3,1,1);plot(xorigin);title('True Signal');( p1 N$ K" i9 O
subplot(3,1,2);plot(output3);title('Resampled Signal');4 j9 |; L2 L! J
subplot(3,1,3);plot(error1);title('Error');

figure(2)
7 H; B9 G; E1 _: b7 usubplot(3,1,1);plot(xorigin);title('True Signal');
) @' U9 V0 Z7 `. H; Wsubplot(3,1,2);plot(yin);title('Built-in Resampled Signal');
- M, w, C8 s  c5 y$ rsubplot(3,1,3);plot(error2);title('Error');


function x_decompose = decompose(x,factor)1 U4 ~' h( i! P# y' i- n) K0 M2 p
lx = length(x);

if mod(lx,factor) ~= 0;, s! b; J- C) t, m5 s% O
X = [x zeros(1,factor-mod(lx,factor))];, d5 _% d* ?" E& {5 i
else
0 l+ c$ i* D( n, S. I( B6 K  D& {& G5 oX = x;
9 q9 ?  P( v5 Qend

x_decompose = zeros(factor,length(X)/factor);
( J, H) d3 Q- A" s# W7 ?! cfor i = 1:factor8 A, O; W; H. Q
for k = 1:length(X)/factor
' p5 g8 u" J2 K( F6 o0 s* dx_decompose(i,k) = X(factor*(k-1)+i);" J+ H. L5 O* w) d, r7 r
end
) I- k1 [# V' j2 B9 L' M( Gend

end

%Filter Generation
: I$ X1 [0 N0 k6 m0 G: I1 O  K9 ]fs = 44100;
# |4 M' |8 N  N, H; y" T" X( u1 tL1 = 8;
4 s1 i) z6 F1 w9 X) eM1 = 7;
4 u, ?6 o0 Z- K8 W" sL2 = 4;$ b% `& K9 N& h6 ^( h6 Y2 r% \/ a
M2 = 3;- b* C% d7 l; P  [' x' B7 }
L3 = 10;& A. X: M0 O5 v- @  {+ |4 o
M3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
4 w4 r, }5 q! _1 j4 b! y' ?$ I$ L0 V4 \%
4 Z1 W( K2 f! m/ q%%First Filter! m6 Y, l- N1 {1 d+ ?
f1 = [20000 24000];
: h  j  ^' V7 E( `( m  ~5 a( s1 za1 = [1 0];, n( E2 E3 M9 z* B9 S
dev1 = [0.01 10^-8];; \- w- R( K0 O# s
fs1 = fs*L1;  y' J6 ^1 w9 @: H! Y8 m1 \
[n1 fo1 ao1 w1] = firpmord(f1,a1,dev1,fs1);
" |- Y9 c. C6 {% G6 T- z( r" w' ub1 = firpm(n1,fo1,ao1,w1);

%%Second Filter+ X& ~5 y6 l6 Q- }( v
f2 = [20160 30240];/ j% s: f: b* M" g3 x/ K. g6 [
a2 = [1 0];
9 b9 h. i- B$ t% udev2 = [0.01 10^-8];- Y, x9 d! h6 Z) b: l' b
fs2 = fs1*L2/M1;* M/ @: a, c! b" k! ^1 b
[n2 fo2 ao2 w2] = firpmord(f2,a2,dev2,fs2);2 ^: d4 Y* u$ x5 G7 |
b2 = firpm(n2,fo2,ao2,w2);

%%Third Filter4 i- F+ t8 K5 |
f3 = [16800 50400];7 Z" K8 f& X( t8 j. N1 W
a3 = [1 0];
% b* a0 h2 i6 v" C$ E$ K, Pdev3 = [0.01 10^-8];
; U+ A; P; _1 @4 D; sfs3 = fs2*L3/M2;% i, ^; z. _# s
[n3 fo3 ao3 w3] = firpmord(f3,a3,dev3,fs3);% j% j+ {6 H* @1 t# ?2 w
b3 = firpm(n3,fo3,ao3,w3);


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