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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+ I" G) f( ?2 ^
fa = 8000; %%signal frequency( K3 d  v" Y9 q! z6 b
fs = 44100; %%44.1kHz sampling frequency
" u9 G2 ]9 d1 k/ Y! a, P8 ?n = 1:64;
6 y$ u, V( \( v* v  Z. L. Gx = sin(2*pi*fa*n/fs);- y: X" {/ p2 V% G( L0 ?
lengthx = length(x);% q- ?* W* {- u( O+ O0 `( a) m
t = n*1000/128/fs;6 o- h5 q9 v2 `" S" D# m& T6 m- `( _
%plot(t,x);xlabel('time in ms');

% [y fs nbits] = wavread('acoustic.wav');
, D) o( a- v4 o0 ~- ~9 e% x = y';. P5 T' Z: ?0 y8 \( v( H
% lx = length(x);; N4 P6 ^4 j' U  Y, V
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
! u/ Q  i. Y( o3 o: ]+ B%Resample parameters% V4 `0 Y3 S' b" W) D$ V- Q
L1 = 8;) w5 _2 b- Z' n  `$ S
M1 = 7;
% f- L3 j  {6 X; M9 T1 O' |L2 = 4;
9 x: ~8 W  b5 n: UM2 = 3;% v& U1 W. d  S( e- X% l( H3 Z
L3 = 10;
7 C) R/ u$ o9 D" k. Q  xM3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
" z6 N. T. ]- h/ a: L$ J, a%%filters$ `  F; G3 I& }+ ?- R  V
load filter.mat
- X" n7 t& X+ T" C( C+ Ofilter1 = b1;
$ D! ~' I. Z! A- ofilter2 = b2;
) s* e% y+ g( i( Tfilter3 = b3;
5 H" u: t9 T% g+ g. M( I) {: [$ q%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%+ d( k& u7 m1 J7 A; h
%Initialize the subfilters

%First Filter  w. S1 a" w# l& h7 D. o
upFilter1 = decompose(filter1,L1);
( t8 u& v& c6 V+ ]downFilter1 = decompose(filter1,M1);

%Second Filter, Q' Z# C! E/ ]* Y! I/ E4 F
upFilter2 = decompose(filter2,L2);
; U& c7 V/ y9 V- b( j) kdownFilter2 = decompose(filter2,M2);

%Second Filter
2 h/ ]: e5 x* v1 P1 ~: aupFilter3 = decompose(filter3,L3);9 l, W: ~5 O# w, a( K( a8 p2 {+ k# E. B
downFilter3 = decompose(filter3,M3);

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

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%8 {1 \0 I( s" @( Y/ P
%Polyphase Filtering

%First Filter
( p, e: a  k: N2 o- t; q%- H: _# p: y* t5 z
%%upsampling1 g! `& t+ h. @' Y8 Q
intermediatex1 = zeros(L1,length(x));
, p; `) N% T. @/ n) [: \$ w) tx11 = zeros(L1,length(x)*L1);
" \1 J4 \6 O, o- |* ]! C+ mfor i = 11
( h% I2 {6 @% p# E/ ~/ K8 X! `intermediatex1(i, = filter(upFilter1(i,,1,x); %%do the filtering before upsampling
8 _7 u" N% |+ C& C$ X9 t' q1 xx11(i, = upsample(intermediatex1(i,:),L1); %%upsample by L, inserting L-1 zeros.
6 H4 P+ o4 f" Z3 A2 e5 Tend

X1 = zeros(1,length(x)*L1);- |' |! q# \9 X$ d3 {7 e
for i = 1:length(x)9 q  ^" \# ~- X0 F- m4 X
X1(L1*(i-1)+11*(i-1)+L1) = x11(:,(i-1)*L1+1)';
# E3 t6 k+ y* L( x4 D7 T/ R2 Z3 oend
( h& e  F1 g+ x% e( O, I%%downsampling
4 c8 K/ J+ p$ x) m3 DX1_down = [X1 zeros(1,M1-mod(length(X1),M1))];
0 S* V  O7 @$ \output1 = zeros(1,length(X1_down)/M1);
0 Y( ?4 F0 K6 F5 [4 Q0 J* O- o6 [x1down = zeros(M1,length(X1_down)/M1);
  W0 r) j/ m. h- ~( B; Sx11down = x1down;6 m0 J) T2 y" a) h8 u8 y
for i = 1:M1
* ?  ^! p" H' u! |& vfor k = 1:length(X1_down)/M1
5 [7 `8 \8 p- m  Ox1down(i,k) = X1_down(M1*(k-1)+i);
) @: B; q5 Q! e& j% W& V. p) T8 gend
( O$ a, u( a) P; k; `x11down(i,:) = filter(downFilter1(1,:),1,x1down(i,:));8 |7 v+ P; t  k  N. B
output1 = output1 + x11down(i,:);) n5 E+ ]+ n2 L. N; O6 l1 W6 R
end

%Second Filter" H  I7 T* ^* ~' f& z+ a2 M
%
1 o" Z8 u( w' A1 o%%upsampling
: {; p( Z, U9 p, ^5 ointermediatex2 = zeros(L2,length(output1));
9 g  `$ e6 u5 c+ C% t5 kx22 = zeros(L2,length(output1)*L2);; i' E8 r' @$ L" T7 j6 a' }
for i = 12& N" H5 m; s; l
intermediatex2(i,:) = filter(upFilter2(i,:),1,output1); %%do the filtering before upsampling/ ]7 l$ p- }/ n  m: V
x22(i,:) = upsample(intermediatex2(i,:),L2); %%upsample by L, inserting L-1 zeros.
5 `9 k) E; r+ O  T1 O! \% k, X9 Xend

X2 = zeros(1,length(output1)*L2);
8 j' l" t9 f" X, ^for i = 1:length(output1)
4 M' \5 H2 n! xX2(L2*(i-1)+1:L2*(i-1)+L2) = x22(:,(i-1)*L2+1)';
- v7 Z$ g! I6 W4 xend
# J+ v( r) P0 E6 [& @%%downsampling2 e# I3 b9 z# m! e
X2_down = [X2 zeros(1,M2-mod(length(X2),M2))];+ g* @, b! Q' ~3 M& R9 C) d1 K
output2 = zeros(1,length(X2_down)/M2);
+ X) ~$ ?2 t2 H* r" cx2down = zeros(M2,length(X2_down)/M2);' C' R$ T( r+ B# a. u- M
x22down = x2down;9 s- l4 z' }2 S/ y8 c- c  z. N
for i = 1:M2
- \4 w# q+ X% Dfor k = 1:length(X2_down)/M2
  T3 J4 o( p) X* ~x2down(i,k) = X2_down(M2*(k-1)+i);9 I: a: E# n6 I6 _
end
0 L4 `  D) R! x8 I% C+ H# Xx22down(i,:) = filter(downFilter2(1,:),1,x2down(i,:));1 Z7 o4 @- U' T
output2 = output2 + x22down(i,:);
9 {5 @% L1 k/ O. Kend

%Third Filter* f6 H% z, O  `9 _% z1 T
%
4 I& S8 c& S, @; j%%upsampling; Z  d5 C7 E! P- Y
intermediatex3 = zeros(L3,length(output2));- j9 L' Z  A4 @0 i8 k) v2 n
x33 = zeros(L3,length(output2)*L3);
, X% x, J; I: C& l+ Wfor i = 1:L3
$ Z: @0 ?) l% V9 r  lintermediatex3(i,:) = filter(upFilter3(i,:),1,output2); %%do the filtering before upsampling
3 I1 [$ |  B, @4 `2 fx33(i,:) = upsample(intermediatex3(i,:),L3); %%upsample by L, inserting L-1 zeros.
+ s( Z; f6 ~9 l0 i9 ]end

X3 = zeros(1,length(output2)*L3);
0 i. A: c; j& I- B6 ?* r( zfor i = 1:length(output2)6 J5 P) R! a, p" o6 F% F6 Y
X3(L3*(i-1)+1:L3*(i-1)+L3) = x33(:,(i-1)*L3+1)';
& K0 p# c( t/ q) g3 tend
# ]4 j& v7 W, u1 M%%downsampling
$ w0 t1 u' j4 }8 I0 LX3_down = [X3 zeros(1,M3-mod(length(X3),M3))];
* ]! Z: [% k) r1 }" N) s5 toutput3 = zeros(1,length(X3_down)/M3);0 _# j& l: m" z5 o& J
x3down = zeros(M3,length(X3_down)/M3);
* _2 A- J8 C6 {4 ^  @x33down = x3down;0 N6 [& R  e8 P/ Y7 H
for i = 1:M3% \' Q; d& h- R( E( E
for k = 1:length(X3_down)/M3# h7 [+ V2 ~# S. f1 p$ P
x3down(i,k) = X3_down(M3*(k-1)+i);, H; L! T4 ?9 V( s
end
1 z* t0 W6 F- z# y. K/ h- K4 Wx33down(i,:) = filter(downFilter3(1,:),1,x3down(i,:));
5 k  d5 w8 j8 G9 \7 T$ f" n6 boutput3 = output3 + x33down(i,:);. [/ H8 o1 `) T6 x/ V5 s" ]6 t
end

output3 = output3/max(output3);$ M. U1 F$ M  ?, B0 u
lout = length(output3);

nx = 1:length(output3);
2 a% `) y* @. |" W0 T' I2 hxorigin = sin(2*pi*fa*nx/96000);: `/ s3 t, @, M8 C1 o6 X
error1 = xorigin - output3;+ h7 ^# n9 b+ Y% x2 U' U
yin = [0 0 resample(x,320,147)];
% Z! o/ i; _- ?3 {  u. n- xerror2 = xorigin - yin;

figure(1)
8 r9 t# J. z5 q2 j* r0 `subplot(3,1,1);plot(xorigin);title('True Signal');
5 d8 }# @. S# u! J; Hsubplot(3,1,2);plot(output3);title('Resampled Signal');
# e. O6 a% A) w8 S  Usubplot(3,1,3);plot(error1);title('Error');

figure(2)
7 q! k2 O/ j4 J+ Q8 m2 E/ z. |subplot(3,1,1);plot(xorigin);title('True Signal');+ Q) R* f9 z) s+ t
subplot(3,1,2);plot(yin);title('Built-in Resampled Signal');
+ l' c3 q0 l, b& Qsubplot(3,1,3);plot(error2);title('Error');


function x_decompose = decompose(x,factor)0 C4 Q( r" B8 C- K2 {  V7 b6 A
lx = length(x);

if mod(lx,factor) ~= 0;- c) T+ `7 ^* w$ y( ~, r: k
X = [x zeros(1,factor-mod(lx,factor))];
+ S8 j+ E  z  Q& q# felse
8 P9 k% i: r; L& ?2 i- ?X = x;% |, e, p: V$ d. R) Q
end

x_decompose = zeros(factor,length(X)/factor);6 \! H  i6 v, `, n- E2 x4 ~! m- y
for i = 1:factor( s: g$ ]' l2 a2 J  ?
for k = 1:length(X)/factor  |+ g: g- E. {% j( i
x_decompose(i,k) = X(factor*(k-1)+i);$ W$ X% P5 |1 X# _
end7 g9 ^2 j' s" C/ i  C
end

end

%Filter Generation4 s: T* H. }- p5 S1 I$ B8 w
fs = 44100;6 d& f& u0 Q6 g1 l
L1 = 8;: s" q! z  ?' w& }7 R4 N" y- E
M1 = 7;  m" W1 L; @4 R5 O& T
L2 = 4;
: a# B$ ?" p1 @0 D- V5 R; t2 UM2 = 3;7 J1 b& M; S/ a
L3 = 10;
" \  f1 \4 m% U# i/ P; n, EM3 = 7;

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%! l2 A' Z5 ]* r3 e4 G( Y, ]$ Y
%
2 m; Q/ w1 s# [; G( O%%First Filter" @  _1 x2 j( ?+ B0 E& Y
f1 = [20000 24000];4 m1 S+ C4 C( W/ c1 w4 g
a1 = [1 0];
3 S: c- i% _* Bdev1 = [0.01 10^-8];# I8 C; x. p0 G) g' y' R# l1 z0 n
fs1 = fs*L1;
& w7 E; l( J* h/ ]% k[n1 fo1 ao1 w1] = firpmord(f1,a1,dev1,fs1);
6 t2 G+ k2 z9 ~/ r! q7 O/ U0 J6 wb1 = firpm(n1,fo1,ao1,w1);

%%Second Filter* {: z3 n% q% K0 x, S( @% p$ l
f2 = [20160 30240];& W7 N# l* `: [6 r6 v" Z
a2 = [1 0];; y9 Q$ Q; N+ g6 z" i3 Y' W: C
dev2 = [0.01 10^-8];: d* y: @1 U) V/ W8 D& d
fs2 = fs1*L2/M1;
3 U% k$ M; \$ Z0 c2 H[n2 fo2 ao2 w2] = firpmord(f2,a2,dev2,fs2);
6 F% {: @- r, v6 \3 Yb2 = firpm(n2,fo2,ao2,w2);

%%Third Filter  |0 S% u& @" t' ]1 t9 {
f3 = [16800 50400];9 Q6 h  H# h4 [  H/ G
a3 = [1 0];, }+ b) Y; [- M) S  u4 e
dev3 = [0.01 10^-8];& d$ ~! O: G) I3 @9 C7 B4 m
fs3 = fs2*L3/M2;
( k) E, s. u4 Z& i[n3 fo3 ao3 w3] = firpmord(f3,a3,dev3,fs3);0 B- ^6 t4 M" a
b3 = firpm(n3,fo3,ao3,w3);

" V' G/ H6 E4 Y5 u+ Y" b" n
" ?$ T( T* a7 w0 W! o
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