-
Notifications
You must be signed in to change notification settings - Fork 7
/
Copy pathLRPR_prac_video_new.m
153 lines (134 loc) · 6.05 KB
/
LRPR_prac_video_new.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
function [B_hat, Uo, Xhat3, Uo_track, err_iter, time_iter] = ...
LRPR_prac_video_new(Params, Paramsrwf, Y, Afull, Afull_t, Afull_tk, X)
Ysqrt = sqrt(Y);
err_iter = zeros(Params.tnew, 1);
time_iter = zeros(Params.tnew, 1);
%%contains some changes to consider the CDP setting. Check if it can be
%%made general to be able to handle simulated data too
%X_hat = zeros(100);
tic;
for o = 1 :Params.tnew % Main loop
fprintf('outer loop iteration %d\n', o)
%%%%%%%
% Initialization
%%%%%%%
if o == 1
fprintf('initialization\n');
%Den_X = norm(X,'fro');
%truncating the measurements
Ytrk = zeros(Params.n_1,Params.n_2,Params.L,Params.q);
for ni = 1 : Params.q
Yk = reshape( Y(:,:,:,ni) , Params.n_1*Params.n_2*Params.L, 1);
normest = sum(Yk(:))/Params.m;
Eyk = ( Yk <= Params.alpha_y^2 *normest);
Ytrk(:,:,:,ni) = reshape(Eyk.*Yk,Params.n_1,Params.n_2,Params.L);
end
%initializing U
U_tmp1 = randn(Params.n_1*Params.n_2,Params.r);
[U_upd_vec, ~, ~] = qr(U_tmp1, 0);
Uupdt = reshape(U_upd_vec, Params.n_1, Params.n_2, Params.r);
U_tmp = zeros(Params.n_1,Params.n_2,Params.r);
for t = 1 : Params.itr_num_pow_mth
%fprintf('power method iteration %d\n', t);
for nr = 1 : Params.r
U_tmp(:,:,nr) = Afull_t( Ytrk.* Afull(repmat(Uupdt(:,:,nr), [1,1,Params.q])));
end
[Uupdt3, ~, ~] = qr(reshape(U_tmp, Params.n_1*Params.n_2, Params.r), 0);
Uupdt = reshape(Uupdt3, Params.n_1, Params.n_2, Params.r);
end
Uhat_vec = reshape(Uupdt, Params.n_1*Params.n_2, Params.r);
Uhat = Uhat_vec;
%[Qu, ~] = BlockIter(Uhat, 100, Params.r);
[Qu, ~] = qr(Uhat, 0);
Uo = Qu(:, 1 : Params.r);
Uo_track{o} = Uo;
end
%%trying to use 2d RWF on r X q matrix B
%A_U takes r x q and returns m x q
A_pr = @(I) reshape(Afull(reshape(Uo * I, Params.n_1, Params.n_2, Params.q)), [], Params.q);
At_pr = @(W) Uo' * ...
reshape(Afull_tk(reshape(W, Params.n_1, Params.n_2, Params.L, Params.q)), [], Params.q) ;
y_tmp = reshape(sqrt(Y), [], Params.q);
Paramsrwf.Tb_LRPRnew = Params.Tb_LRPRnew(o);
Paramsrwf.n_1 = Params.r;
Paramsrwf.n_2 = Params.q;
B_hat = RWF_2d(y_tmp, Paramsrwf, A_pr, At_pr);
Xhat3 = Uo * B_hat;
Chat = reshape(exp(1i * angle(A_pr(B_hat))), Params.n_1, Params.n_2, Params.L, Params.q);
%B_hat = zeros(Params.r, Params.q);
%Chat = zeros(Params.n_1 * Params.n_2, Params.q);
%Xhat3 = zeros(Params.n_1 * Params.n_2, Params.q);
% Chat = zeros(size(Y));
% for ni = 1 : Params.q
% %fprintf('RWF for %d\n', ni);
% Masks = Masks2(:,:,:,ni);
% A_pr = @(I) reshape(fft2( Masks .* ...
% reshape(repmat(Uo, Params.L, 1) * I, Params.n_1, Params.n_2, Params.L)), [],1);
% At_pr = @(W) Params.n_1 * Params.n_2 * Uo' * reshape(sum(conj(Masks) .* ...
% ifft2(reshape(W, Params.n_1, Params.n_2, Params.L)), 3), [], 1);
%
% y_tmp = reshape(Y(:, :, :, ni), [], 1);
% Paramsrwf.Tb_LRPRnew = Params.Tb_LRPRnew(o);
% [bhat] = RWFsimple(sqrt(y_tmp), Paramsrwf, A_pr, At_pr);
% B_hat(:, ni) = bhat;
% %x_k = Uo * B_hat(:,ni);
% Chat3 = exp(1i * angle(A_pr(B_hat(:,ni))));
% %Xhat3(:, ni) = x_k;
% Chat(:, :, :, ni) = reshape(Chat3, Params.n_1, Params.n_2, Params.L, 1); %reshape(repmat(Chat3, Params.L, 1), Params.n_1, Params.n_2, Params.L, 1);
% end
%
% Xhat3 = Uo * B_hat;
Den_X = norm(X,'fro');
Tmp_Err_X2 = zeros(Params.q, 1);
for ct = 1 : Params.q
xa_hat = Xhat3(:,ct);
xa = X(:,ct);
Tmp_Err_X2(ct) = norm(xa - exp(-1i*angle(trace(xa'*xa_hat))) * xa_hat, 'fro');
end
Nom_Err_X_twf = sum(Tmp_Err_X2);
err_iter(o) = Nom_Err_X_twf / Den_X;
% [Qb,~] = BlockIter(B_hat', 100, Params.r);
[Qb,~] = qr(B_hat', 0);% 100, Params.r);
Bo = Qb(:, 1:Params.r)';
if (o==1)
D = Uo*B_hat;
Den_X = norm(X,'fro');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%initialization error
for na = 1 : Params.q
xa_hat = D(:,na);
xa = X(:,na);
% % Tmp_Err_X(na) = min(norm(xa-xa_hat)^2, norm(xa+xa_hat)^2);
Tmp_Err_X1(na) = norm(xa - exp(-1i*angle(trace(xa'*xa_hat))) * xa_hat, 'fro');
end
% Rel_Err(:,t)= Tmp_Err_X;
Err = sum(Tmp_Err_X1);
ERRinit = Err / Den_X;
fprintf('Our initialization Error is:\t%2.2e\n',ERRinit);
end
K1 = Chat .* Ysqrt; %sqrt;
Zvec = reshape(K1,Params.n_1*Params.n_2*Params.L*Params.q,1);
Uvec = cgls_new(@mult_H2, @mult_Ht2 , Zvec, 0,1e-6 ,3);
U_hat = reshape(Uvec, Params.n_1*Params.n_2, Params.r);
%[Qu,~] = BlockIter(U_hat, 100, Params.r);
[Qu,~] = qr(U_hat, 0);
Uo = Qu(:, 1:Params.r);
Uo_track{o} = Uo;
time_iter(o) = toc;
end
function i_out = mult_H2(i_in)
I_mat = reshape(i_in, Params.n_1*Params.n_2, Params.r);
% i_out = zeros(Params.q*Params.m, 1);
Xmat = I_mat * Bo;
Xmat2 = reshape(Xmat,Params.n_1,Params.n_2,Params.q);
Iout = Afull(Xmat2);
i_out = reshape(Iout,Params.q*Params.m, 1);
end
% Defining mult_Ht
function w_out = mult_Ht2(w_in)
w_out = zeros(Params.n_1*Params.n_2*Params.r, 1);
TmpVec = permute(Afull_tk(reshape(w_in, Params.n_1,Params.n_2,Params.L,Params.q)), [1,2,4,3]);
for nk = 1: Params.q
w_out = w_out + kron(Bo(:,nk), reshape(TmpVec(:,:,nk), Params.n_1*Params.n_2, 1));
end
end
end