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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 data1 d! j2 [& M% Y/ \+ Z- I% `
fa = 8000; %%signal frequency
% s0 P' R( @' }+ l3 V' D8 `fs = 44100; %%44.1kHz sampling frequency
# Q; R% T) P; j- bn = 1:64;
  c* ^9 T5 @" W( P) Q% v& Wx = sin(2*pi*fa*n/fs);/ Z$ m1 w% K: [, v
lengthx = length(x);
+ v; d8 s) J5 H. A' O. E9 z, |" Et = n*1000/128/fs;# t8 A; O& i& A/ y3 g0 I
%plot(t,x);xlabel('time in ms');

% [y fs nbits] = wavread('acoustic.wav');
" W, Y7 w  k2 Z3 [% x = y';: H0 J% _8 ?  N, k
% lx = length(x);) M* F! V; t: b) i, H  F4 _' n
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+ n9 [+ d1 u. P' ^) r! o( D, _7 z%Resample parameters
2 B9 p& U* C1 v# S; W. y6 c( CL1 = 8;
: {* d; y4 }: X& C4 k6 }/ SM1 = 7;
7 w4 v! G( K" L+ }8 A/ hL2 = 4;( Z! r, C" f1 ?4 w1 ?2 S
M2 = 3;
" i3 k- S2 b! d- j3 I" RL3 = 10;
, D7 \0 `3 d/ d+ ^M3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%9 q! Q# b8 L9 w- H& V
%%filters  `6 z/ K' l: Z; j) X5 D; o2 b- A
load filter.mat! L  ^9 M& w; X
filter1 = b1;
6 c6 b6 U* i1 }- U1 tfilter2 = b2;
, [) G6 D+ N% n+ b9 r4 Lfilter3 = b3;
9 Y! f6 K" ~& p3 z+ `2 d  A%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%" K- c" G0 t6 b( |0 [- E2 w4 M* [* e
%Initialize the subfilters

%First Filter
% G# b; g' h/ D# \2 w8 d/ TupFilter1 = decompose(filter1,L1);
8 v3 L/ Y' P3 L7 ^/ X" i5 udownFilter1 = decompose(filter1,M1);

%Second Filter/ I+ q- R9 X) ?2 ]3 |
upFilter2 = decompose(filter2,L2);
% G8 ^5 c( r9 q' gdownFilter2 = decompose(filter2,M2);

%Second Filter
8 L7 z5 A+ E8 h/ g2 x3 UupFilter3 = decompose(filter3,L3);! O6 Z# ~7 H4 r6 N& x. W& x
downFilter3 = decompose(filter3,M3);

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
6 y) Y) T  ^3 a4 q3 M, k1 f%Polyphase Filtering

%First Filter
3 i( p) r- h$ q7 U%+ x) K+ X! S$ \* O9 \8 ~8 Q$ }: o7 |
%%upsampling$ e, b6 ?8 g% E- Z* c7 T: i1 J% Y
intermediatex1 = zeros(L1,length(x));
) X& A, k0 ^" H/ vx11 = zeros(L1,length(x)*L1);
, Y9 Z6 L- o5 G+ I  M$ `2 A  r  gfor i = 11' Q; J: y3 t0 G
intermediatex1(i, = filter(upFilter1(i,,1,x); %%do the filtering before upsampling+ c* i( w2 ~! O5 }
x11(i, = upsample(intermediatex1(i,:),L1); %%upsample by L, inserting L-1 zeros.
$ j9 x8 s( ]* p) ^1 o6 ^end

X1 = zeros(1,length(x)*L1);& ~" `1 S4 b+ l( I+ v5 a
for i = 1:length(x); Q, `" |2 q; O) h6 O
X1(L1*(i-1)+11*(i-1)+L1) = x11(:,(i-1)*L1+1)';
9 B, u5 f  L" ?* b9 vend/ y& i( {3 A+ n0 S1 L  R
%%downsampling7 t& @" h4 \. l) ?- F
X1_down = [X1 zeros(1,M1-mod(length(X1),M1))];% V3 L( |2 Y6 k6 k2 x$ L
output1 = zeros(1,length(X1_down)/M1);9 ~, l  f& G1 c: T2 H0 C( p
x1down = zeros(M1,length(X1_down)/M1);4 F* p8 H4 x; J# _4 L( y1 Y
x11down = x1down;/ C$ O" z$ \. u; n" J+ d, N
for i = 1:M1
0 {5 C( J- m0 v1 T" rfor k = 1:length(X1_down)/M1
3 H; }# ]0 \2 i8 L+ Bx1down(i,k) = X1_down(M1*(k-1)+i);" u  f; g/ q$ q" q% g; q
end
& B6 {5 s, _1 Kx11down(i,:) = filter(downFilter1(1,:),1,x1down(i,:));/ W: j9 ]6 u/ D5 g. C6 w
output1 = output1 + x11down(i,:);
5 y2 z# d, w6 q, j+ lend

%Second Filter
- Y' H( Y9 i6 f$ C; x. G%9 J- `: V: ], ]2 U! _
%%upsampling
3 T; V: r  P) p4 P! vintermediatex2 = zeros(L2,length(output1));! e. j  T/ H2 S. v& }/ B9 g
x22 = zeros(L2,length(output1)*L2);
! D! x2 o' B" j: F6 o: F4 v5 z' ]for i = 12, A+ r5 C4 s7 e3 b9 A9 N
intermediatex2(i,:) = filter(upFilter2(i,:),1,output1); %%do the filtering before upsampling* {) S' S* g( U2 F
x22(i,:) = upsample(intermediatex2(i,:),L2); %%upsample by L, inserting L-1 zeros.
, O8 m& h& Y7 H2 Jend

X2 = zeros(1,length(output1)*L2);
: r+ t  \7 i* k7 @  `! l4 F, Sfor i = 1:length(output1)
  I& u( ~, K* w8 z, a1 ?  [/ R3 {X2(L2*(i-1)+1:L2*(i-1)+L2) = x22(:,(i-1)*L2+1)';
# k9 n2 L% @" T7 V/ _# iend2 O2 e/ e) }4 X8 |: ^8 H9 L
%%downsampling" R+ M: I! I: e
X2_down = [X2 zeros(1,M2-mod(length(X2),M2))];, L& n) X/ h: r6 |9 x/ h5 L
output2 = zeros(1,length(X2_down)/M2);
8 `6 e7 I( U# h2 y6 Xx2down = zeros(M2,length(X2_down)/M2);0 S* E2 F+ s2 j" [" v
x22down = x2down;
* m$ o+ Z2 o8 i8 g! Xfor i = 1:M2
. U  ^$ \6 E( h3 k% o. ~& O/ @for k = 1:length(X2_down)/M2; q8 _6 u! Y* C! p
x2down(i,k) = X2_down(M2*(k-1)+i);. s( D  Z8 F0 |: A* j. a6 h
end
1 p* @. r1 F, b* X0 f8 ~5 |x22down(i,:) = filter(downFilter2(1,:),1,x2down(i,:));8 W  X* u$ ~- ~# x# d  L* \
output2 = output2 + x22down(i,:);
6 H* c8 q3 O8 L0 K0 c* `end

%Third Filter) b- V3 w5 A) ]; O" K0 q
%
7 H' c; o$ O. U4 \. j# _- n1 {8 u%%upsampling
# I7 V% E: ^5 uintermediatex3 = zeros(L3,length(output2));
9 g& s6 d" M4 S$ A, z/ Yx33 = zeros(L3,length(output2)*L3);: ^5 a- r7 P* ^) P& V
for i = 1:L36 `3 P& b7 o- S: p/ e7 C
intermediatex3(i,:) = filter(upFilter3(i,:),1,output2); %%do the filtering before upsampling
# g9 s+ P  r, wx33(i,:) = upsample(intermediatex3(i,:),L3); %%upsample by L, inserting L-1 zeros.5 |( J2 E  l  s: v  [
end

X3 = zeros(1,length(output2)*L3);
" `0 Y! o; v  Dfor i = 1:length(output2)
# K: a( Y& a( ~X3(L3*(i-1)+1:L3*(i-1)+L3) = x33(:,(i-1)*L3+1)';
1 ^; d2 }% h3 k6 Xend
8 E( r8 E- Z$ b" Q9 X# r%%downsampling
$ ~+ @' Y2 C3 E* \X3_down = [X3 zeros(1,M3-mod(length(X3),M3))];1 k, Q4 t  h+ K' P4 r2 k
output3 = zeros(1,length(X3_down)/M3);7 q; H, A+ ~$ h  a/ R6 b4 [# B% ?
x3down = zeros(M3,length(X3_down)/M3);% o2 I$ _! _$ t! w0 q' d
x33down = x3down;, n4 |) B2 w* `/ T
for i = 1:M3
3 Y* F" n( l$ a$ d+ t' {, sfor k = 1:length(X3_down)/M3
) A4 |0 K  I; h- a/ W, cx3down(i,k) = X3_down(M3*(k-1)+i);
% p& U+ u5 h/ i2 B4 rend# p0 [1 A$ [3 F  X
x33down(i,:) = filter(downFilter3(1,:),1,x3down(i,:));
6 m0 t& J0 c/ U- F+ u* P1 youtput3 = output3 + x33down(i,:);1 z0 |* `7 Q+ R$ c: n
end

output3 = output3/max(output3);- Y9 \. H5 V1 z  L. J
lout = length(output3);

nx = 1:length(output3);
7 F1 o  w  f3 p. C/ l6 |& Rxorigin = sin(2*pi*fa*nx/96000);( ?8 }; Q8 ?5 d
error1 = xorigin - output3;4 m% e: V3 @# l5 G4 U
yin = [0 0 resample(x,320,147)];
) L7 t1 Q1 `/ q9 _/ t. n- ]0 Jerror2 = xorigin - yin;

figure(1)
7 \! y" b/ M5 }3 u9 P. A  o0 }subplot(3,1,1);plot(xorigin);title('True Signal');. `+ r3 Z4 |0 h5 E; [
subplot(3,1,2);plot(output3);title('Resampled Signal');% C( D" n$ a1 B/ U: x3 I3 c0 z/ m$ n
subplot(3,1,3);plot(error1);title('Error');

figure(2)
% F* J- d. e% }( psubplot(3,1,1);plot(xorigin);title('True Signal');8 t- b$ q- C5 B$ Z  n( v# M
subplot(3,1,2);plot(yin);title('Built-in Resampled Signal');
/ x- B$ S. K1 v. \/ K% \2 I4 b: Csubplot(3,1,3);plot(error2);title('Error');


function x_decompose = decompose(x,factor)1 l# j% g3 [6 n. I5 ]
lx = length(x);

if mod(lx,factor) ~= 0;
9 V  s6 m$ w1 b7 Y7 RX = [x zeros(1,factor-mod(lx,factor))];
0 C$ H8 U' j2 G. P8 J, X) e; aelse* R  l4 c2 q! G0 g- p  A% r
X = x;. C) O7 q$ G4 G# q- t3 N. K
end

x_decompose = zeros(factor,length(X)/factor);1 g* [9 |' X; R/ A2 L' f
for i = 1:factor
, @6 c# }  l- u" |for k = 1:length(X)/factor
$ l+ x1 P6 @; y  X* ex_decompose(i,k) = X(factor*(k-1)+i);# ^2 z$ o8 ^+ Z/ g
end
0 n5 w; g# Z* X* D. e6 f# L2 Bend

end

%Filter Generation) A0 u$ ~, l* S4 S3 F$ y" L
fs = 44100;
2 M( ~& i8 j! c: lL1 = 8;
2 K2 x- R* w0 L, y2 Z$ y% OM1 = 7;2 m6 W5 ?( t9 L. q; W6 f
L2 = 4;
4 r" r) A, Z: @! A. G. C, S' O" ^* sM2 = 3;
4 F6 {" a0 y1 ^3 K$ K( N  {& C+ l6 W& {L3 = 10;
) r9 G' K5 e! N1 sM3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
- Q( ~0 g; o( X! _! t, I%9 z  T, ~# W& ?1 V: m
%%First Filter7 v8 ]  A' N0 |! f9 {" K
f1 = [20000 24000];" B% L' a. L  b1 T
a1 = [1 0];
8 [! B: T0 h) c& D" q. Y/ T5 l, `dev1 = [0.01 10^-8];
" T3 Z9 v! o0 |$ J* f( J0 vfs1 = fs*L1;
3 b6 W+ {3 `& i/ A- j1 t[n1 fo1 ao1 w1] = firpmord(f1,a1,dev1,fs1);
& g. p2 |# g. W1 v9 o  Bb1 = firpm(n1,fo1,ao1,w1);

%%Second Filter- [$ A6 I7 d  }; H6 X6 e7 N
f2 = [20160 30240];
9 B4 @! u9 i# N8 J8 Ba2 = [1 0];; M. {! ~( q0 Y+ h
dev2 = [0.01 10^-8];
+ L$ I* w) r8 y& l$ b& qfs2 = fs1*L2/M1;
( o& W. h& f% u* @' y5 o$ E[n2 fo2 ao2 w2] = firpmord(f2,a2,dev2,fs2);
9 U: s. g6 ^; W; Q1 C0 Ub2 = firpm(n2,fo2,ao2,w2);

%%Third Filter
- Z+ B5 s+ H( G' ?' ^, zf3 = [16800 50400];( @$ B+ M) |/ ?4 P. Y
a3 = [1 0];
5 N+ U6 g; Q% G; K; V; Bdev3 = [0.01 10^-8];$ h! L0 r$ @+ N1 f
fs3 = fs2*L3/M2;+ H6 x  Z) `4 J' O9 e
[n3 fo3 ao3 w3] = firpmord(f3,a3,dev3,fs3);- Z/ H1 p  |* }( P( b; Z' P
b3 = firpm(n3,fo3,ao3,w3);

, }1 n5 F# m) _& P4 j5 S) U7 u
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