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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 data8 S7 v! A' Z$ n) i1 b+ W( s
fa = 8000; %%signal frequency
0 X; ?5 ^1 X/ Y c/ {+ q* H% ?fs = 44100; %%44.1kHz sampling frequency
5 r$ k Q3 ?& f/ O' L6 J) B8 Jn = 1:64;
/ |6 b& |2 l# y" Q" @x = sin(2*pi*fa*n/fs);2 \4 q% w! }% A
lengthx = length(x);
+ T7 q, z0 R ^8 ]+ q% c( bt = n*1000/128/fs;
, G* A1 M- \) |2 o%plot(t,x);xlabel('time in ms'); % [y fs nbits] = wavread('acoustic.wav');
+ D( C2 Q, D: B/ z& D3 ~( z3 n! l% x = y';
+ u7 V: X: _9 \( F. I4 W9 \# o% lx = length(x);
0 S" r9 d: ~; m8 Q%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%8 Z8 r2 b% q* d* Q: k+ n2 F' P0 _
%Resample parameters1 Z1 J- ~* m+ j& Z. `
L1 = 8;
7 @+ l7 ^' ~: U$ eM1 = 7;
S; j/ V: @& S% G: r8 P5 kL2 = 4;: z( v4 x/ R. j1 D5 c
M2 = 3;% C0 V+ ^9 F! M
L3 = 10;
- k- ^% k$ p' XM3 = 7; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
/ A: a6 F1 i( p3 n# h%%filters @* ~% V" R- N. F
load filter.mat, c9 i4 Y4 [2 r/ n( F7 P; x
filter1 = b1; 7 c* L, }0 m0 J& R6 i1 q! v; }! G
filter2 = b2;
+ X/ a, G- |; F6 zfilter3 = b3;9 h0 \" r- E6 c! I& i$ O/ p! h
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%5 @ D( s9 I9 \
%Initialize the subfilters %First Filter3 s- q' `- c; ^6 ]0 [# @8 j$ K
upFilter1 = decompose(filter1,L1);- |" b# i* o# M2 @* J, O, H3 S
downFilter1 = decompose(filter1,M1); %Second Filter
4 a5 `7 r. @8 \4 ^upFilter2 = decompose(filter2,L2); `/ T Q6 L) t! g( \2 D
downFilter2 = decompose(filter2,M2); %Second Filter
$ g' G* @+ h0 |4 tupFilter3 = decompose(filter3,L3);3 K R$ t4 K; ?+ x! H; ^
downFilter3 = decompose(filter3,M3); %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%1 F! Q1 F% p2 t' b/ c: F
%Polyphase Filtering %First Filter
; Z5 Q2 B0 Y5 T- @%
/ H4 Z- u( e/ {' _ Z%%upsampling: c/ ]3 H, I' z8 ~8 \
intermediatex1 = zeros(L1,length(x));7 v2 t K2 u3 }4 t7 X0 q
x11 = zeros(L1,length(x)*L1);
7 Q7 t: w) q: B2 V/ Pfor i = 1 13 G% q$ c0 Z* Y6 x! ~. v/ q
intermediatex1(i, = filter(upFilter1(i, ,1,x); %%do the filtering before upsampling; W4 ^/ x- O) u6 Q$ U6 p7 l
x11(i, = upsample(intermediatex1(i,:),L1); %%upsample by L, inserting L-1 zeros.
3 B) ~2 L+ E: uend X1 = zeros(1,length(x)*L1);5 {. p9 D3 F7 g% P8 `
for i = 1:length(x)# }4 p# d; z1 w) z
X1(L1*(i-1)+1 1*(i-1)+L1) = x11(:,(i-1)*L1+1)';
/ h& m6 Z, D% y; H V& ^; J& Cend
5 s1 s, b0 [: t \5 o/ i3 y2 Y- y- M%%downsampling. g( t7 p% s2 V( x& S {+ }
X1_down = [X1 zeros(1,M1-mod(length(X1),M1))];2 |! @9 o. N' E& u: W
output1 = zeros(1,length(X1_down)/M1);
. H! _% [) O$ {: e7 H2 O s/ t7 Rx1down = zeros(M1,length(X1_down)/M1);
- a/ m$ D, P e3 \: l Lx11down = x1down;
" R/ b0 v! U o! Z; Dfor i = 1:M1
+ Y1 l7 I, Q" T- s gfor k = 1:length(X1_down)/M1
6 r3 m, h2 M$ }6 a- [. px1down(i,k) = X1_down(M1*(k-1)+i);
& p! _- \% s6 s9 H) s+ ^3 `; H5 Rend
3 X6 N' o2 ?: w2 h* B8 Wx11down(i,:) = filter(downFilter1(1,:),1,x1down(i,:));
. A( L- P1 x! w8 o# b; ooutput1 = output1 + x11down(i,:);( t: ~" J, F! g G7 \, O) l4 }% }
end %Second Filter# x- a1 q( Y d- j9 R2 C m0 Q
%) m( d: Y- j, n4 Y& C5 X0 n
%%upsampling9 { X/ O7 x6 S- O3 X
intermediatex2 = zeros(L2,length(output1));. \7 k' n2 I& `$ x n% Z# s
x22 = zeros(L2,length(output1)*L2);
" b# F5 K+ u- M7 }1 `# w/ Tfor i = 1 2
4 N, C) _( e! j2 ^/ D4 ~) Tintermediatex2(i,:) = filter(upFilter2(i,:),1,output1); %%do the filtering before upsampling3 q# a8 M8 ?3 E* F" V- A
x22(i,:) = upsample(intermediatex2(i,:),L2); %%upsample by L, inserting L-1 zeros.8 A" L9 E. z! l/ I4 b0 U# s
end X2 = zeros(1,length(output1)*L2);
+ _0 x3 v. a# N% tfor i = 1:length(output1)
' k$ P7 i3 X0 F$ GX2(L2*(i-1)+1:L2*(i-1)+L2) = x22(:,(i-1)*L2+1)';: a/ W: b' P' w4 H# m
end! M" ]$ n: F3 p& w% G( R C
%%downsampling
( u7 `) u& a+ |0 ?) ~1 fX2_down = [X2 zeros(1,M2-mod(length(X2),M2))];
0 |! j. k8 i9 E3 ]output2 = zeros(1,length(X2_down)/M2);; X, b. G4 ]& d+ A
x2down = zeros(M2,length(X2_down)/M2);
/ j4 y. L9 _& ax22down = x2down;+ a$ I) p7 I) ?* ^0 ?3 v$ o/ \
for i = 1:M2
$ z' K' G m) A/ u; N' a/ ufor k = 1:length(X2_down)/M2
& K# u! a+ W- _' K" `8 w4 K4 Ux2down(i,k) = X2_down(M2*(k-1)+i);
2 T/ ~2 M' @- I+ ]2 F' ~end
' R) S8 }6 I3 U. {5 _+ \x22down(i,:) = filter(downFilter2(1,:),1,x2down(i,:));
0 K% ?* S6 U* Zoutput2 = output2 + x22down(i,:);, A3 a: I c8 `3 w1 a2 } W0 `7 l
end %Third Filter: k( S* T" E- h
%
* ]4 `% X t+ [8 [9 O%%upsampling
2 N. n: ^1 D" ]9 K) N. fintermediatex3 = zeros(L3,length(output2));
' Q) H6 c/ I: p& s Yx33 = zeros(L3,length(output2)*L3);
" O9 j3 d2 y4 c9 gfor i = 1:L35 R& n# p6 L1 x+ `! l
intermediatex3(i,:) = filter(upFilter3(i,:),1,output2); %%do the filtering before upsampling
) [% z) n/ N: P! d# {x33(i,:) = upsample(intermediatex3(i,:),L3); %%upsample by L, inserting L-1 zeros.( N4 }5 ~( p m: R: y8 p
end X3 = zeros(1,length(output2)*L3);0 l- o# o3 A1 c, |' K
for i = 1:length(output2)
, r W/ y) E, D1 P/ yX3(L3*(i-1)+1:L3*(i-1)+L3) = x33(:,(i-1)*L3+1)';
# D V/ S# r" I Q; [1 kend
5 k' X2 h3 S" U$ p8 Z%%downsampling
b7 N6 b! j9 T0 MX3_down = [X3 zeros(1,M3-mod(length(X3),M3))];8 a8 a8 q# _, K# T* n
output3 = zeros(1,length(X3_down)/M3);
" `$ s; }6 }+ p! Y7 T% h. E9 ?x3down = zeros(M3,length(X3_down)/M3);
6 _3 T2 i0 ^: j- E: }x33down = x3down;
5 U! I2 w9 w- L. tfor i = 1:M3
, t4 S4 f: r' `9 Bfor k = 1:length(X3_down)/M32 M. d9 _. z2 J8 o/ l' L
x3down(i,k) = X3_down(M3*(k-1)+i);6 t. n, U' _8 }8 l
end
& P6 v3 G; w3 `( t E/ w1 j$ c) yx33down(i,:) = filter(downFilter3(1,:),1,x3down(i,:));
, r- z6 ? m0 s1 _/ Poutput3 = output3 + x33down(i,:);, J( R- f. R( P" D3 K- a
end output3 = output3/max(output3);
6 B) @1 T) w# e5 Z' Tlout = length(output3); nx = 1:length(output3);: B. e9 M6 \7 R0 E+ b, g4 i8 j
xorigin = sin(2*pi*fa*nx/96000);, k0 j/ @5 q$ l% @# g& i0 w
error1 = xorigin - output3;3 [; g4 {1 ~4 O" S) y+ N) S0 A
yin = [0 0 resample(x,320,147)];7 ?. L* O% J) f' |
error2 = xorigin - yin; figure(1): c; v" `0 p& r% H# k
subplot(3,1,1);plot(xorigin);title('True Signal');0 r, R( D/ l$ v8 V$ v3 u8 J
subplot(3,1,2);plot(output3);title('Resampled Signal');
7 Q o# h4 V- J" y* a3 msubplot(3,1,3);plot(error1);title('Error'); figure(2)4 N* [6 F# F- A% G! z0 V
subplot(3,1,1);plot(xorigin);title('True Signal');
* X1 {3 q# d5 c! }5 vsubplot(3,1,2);plot(yin);title('Built-in Resampled Signal');
h' |* `$ s! d1 ^! r- \subplot(3,1,3);plot(error2);title('Error');
function x_decompose = decompose(x,factor)3 t1 B7 g/ Q) G0 n' [- X
lx = length(x); if mod(lx,factor) ~= 0;; C, d/ i. h5 _( d1 {
X = [x zeros(1,factor-mod(lx,factor))];
* \) u: t# I# |, y0 ~ Q, C5 @else
) Q1 K( U* w) M3 n, e7 @X = x;
( ~ X2 U$ D+ l/ U: Hend x_decompose = zeros(factor,length(X)/factor);" q. S" j/ A1 [/ ?/ c9 J2 S% \- H
for i = 1:factor
$ ~& g1 U, T( }; i' ofor k = 1:length(X)/factor
3 } l& V3 I+ S3 ex_decompose(i,k) = X(factor*(k-1)+i);0 O- k0 m9 i* e- `: ^2 M& a
end; g/ ?8 j$ `1 ^2 r& ?( y
end end %Filter Generation
0 z1 j0 f+ A; ~0 G Yfs = 44100;" j2 k$ d9 Y5 e2 H% M- `. [
L1 = 8;2 x7 S1 z3 i6 l/ p3 d( y- l
M1 = 7;4 o, [7 ~/ M, P* ?; ?- j( O" R
L2 = 4;
+ Y3 ^1 W& e E# CM2 = 3;+ C ^0 E( ^, k& m. z2 V
L3 = 10;
5 g5 \1 }" K. @! g: z" ^! \* p/ F& RM3 = 7; %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%7 @1 M1 Z' q5 D0 b
%
- a* U5 F6 h9 d%%First Filter
; z( k, p- G9 T$ M7 ~% O& ]6 I/ a% Of1 = [20000 24000];+ N; l$ B* _- ~) b5 {) J
a1 = [1 0];. A+ w7 w; H, y: W2 u3 Y( {5 o
dev1 = [0.01 10^-8];% x, J( o6 V4 ], m- y' `
fs1 = fs*L1;7 l. g! d4 a+ O
[n1 fo1 ao1 w1] = firpmord(f1,a1,dev1,fs1);3 B: x: q; ~$ O8 M+ {
b1 = firpm(n1,fo1,ao1,w1); %%Second Filter5 T1 f7 W0 J- \
f2 = [20160 30240];
# w) W! f7 c' _ Oa2 = [1 0];3 Z& W# Q) }8 ?5 d }3 o
dev2 = [0.01 10^-8];
) l) {" W. ~8 ^fs2 = fs1*L2/M1;
- j4 p7 T5 L" u. s' B V$ _6 `/ k[n2 fo2 ao2 w2] = firpmord(f2,a2,dev2,fs2);! V% y) f6 g: d- Q0 a8 w% t& o4 G2 |
b2 = firpm(n2,fo2,ao2,w2); %%Third Filter
( x: A& b5 \, e9 h7 @6 Cf3 = [16800 50400];( h& ~9 y, N" ?: `' B0 n9 x% ]. @ W) \
a3 = [1 0];- F3 }/ @( l: r# x
dev3 = [0.01 10^-8];
7 V' d! V4 C2 d" X1 ffs3 = fs2*L3/M2;
! ? I4 \. A5 }# ]8 j p[n3 fo3 ao3 w3] = firpmord(f3,a3,dev3,fs3);( {+ Y P) |9 K& |6 {
b3 = firpm(n3,fo3,ao3,w3); ! B) s1 k, @ a& d4 T
' J7 N% G6 X6 I
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