From dd8804295af2319f2e936a901400e28ea6f3fbf0 Mon Sep 17 00:00:00 2001 From: Ksyer Date: Sat, 27 Jan 2024 20:56:10 +0800 Subject: [PATCH] Add Liyuhan's code --- .../捷变频相变/FAR_block_sparsity_phase1.m | 48 ++++++++++++++++++ .../Lyh/捷变频相变/FAR_sparsity_phase.m | 47 +++++++++++++++++ .../Lyh/捷变频相变/theoretic.m | 7 +++ .../Lyh/高斯相变/gauss_phase_real.m | 27 ++++++++++ .../Lyh/高斯相变/gauss_phase_real.mat | Bin 0 -> 85128 bytes 5 files changed, 129 insertions(+) create mode 100644 Phase Transitions in FAR using CS/Lyh/捷变频相变/FAR_block_sparsity_phase1.m create mode 100644 Phase Transitions in FAR using CS/Lyh/捷变频相变/FAR_sparsity_phase.m create mode 100644 Phase Transitions in FAR using CS/Lyh/捷变频相变/theoretic.m create mode 100644 Phase Transitions in FAR using CS/Lyh/高斯相变/gauss_phase_real.m create mode 100644 Phase Transitions in FAR using CS/Lyh/高斯相变/gauss_phase_real.mat diff --git a/Phase Transitions in FAR using CS/Lyh/捷变频相变/FAR_block_sparsity_phase1.m b/Phase Transitions in FAR using CS/Lyh/捷变频相变/FAR_block_sparsity_phase1.m new file mode 100644 index 0000000..93b8b2b --- /dev/null +++ b/Phase Transitions in FAR using CS/Lyh/捷变频相变/FAR_block_sparsity_phase1.m @@ -0,0 +1,48 @@ +close all; +clear all; +clc; +M = 4; +N = 128; +%block_sparsity = 1; +tol = 1e-5; +trial = 50; +epi = 0.02; +result = zeros(N,25); +for col = 4:4:128 + for block_sparsity = 10:18 + success_count = 0; + for loop = 1:trial + FAR_model = zeros(N,M*N); + %Cn = randperm(M)-1 + for n = 0 : N-1 + Cn = floor(rand()*M); + for q = 0 : N-1 + for p = 0:M-1 + FAR_model(n+1,q*M+p+1) = exp(1i*2*pi*p/M*Cn+1i*2*pi*q/N*n*(1+Cn*epi)); + end + end + end + col_choose = randperm(N,col); + FAR_model = FAR_model(col_choose,:); + sparse_signal = zeros(M,N); + block = randperm(N,block_sparsity); + sparse_signal(:,block) = exp(1i*2*pi*rand(M,block_sparsity)); + y = FAR_model * sparse_signal(:); + cvx_begin + variable x(M,N) complex + norm21 = 0; + for i = 1:N + norm21 = norm21 + norm(x(:,i)); + end + minimize(norm21) + subject to + FAR_model * x(:) == y + cvx_end + if norm(x(:)-sparse_signal(:))p39CbqNXCI0=-OB>h{6SELAbMvxt^D^@gvofueX2P^$R{1+$6=uzv__`ys8@Nglgh?AlQV4p5V2?_83h|>dCUYKZr%xJ4oB6*}h z$9SW=#B5{$f`K!15i1R_0L1Tu*Bp;L+x0bZjv|GM2_0$L?ZpU*Z(0qu-+0lS^p!0RmW&;x%Kz;Z|d zB(5Obu+thBo@eRBX!S%jr(HV2)N%!0s6uIYwJAv9o+ z=u~#62r{s}bNCzaEi@$!#Ap;y2A*6{;lLFY=GjVMAn1FVXM)N0N z)IhJ&ho0VU1|X6y7Q>D3qmZ_ZG#nlg4FF4@sHi&@8}JriS81j4(TmO{U7o6TFEn)< z>7`*$1&kq0Gf zj~^B2kX!%3O#g2%~2G67}(*dTwTZ;;G0$gck|_Ww_eMrQJVuqaEW9qBKO zvmZaoIiYF(V;TQ9YyW?L-~UyTX_{t&o+hx&2z1f)t$iMBN|Lw+(x%JJ(#+sNwolWRC+}6X~rf3WzA#z^4r&mHtsXnK1!F})A_)9BAWYB*VJFl07N)L zri|n-qosuT+IIV$Rf)e}PHlb1E^wTVm*_Tc{K4KXnab{FxOFq^F?y%uIIg3(;_Wob z`jjOvc>(rF==Qu{DmVCj1A5SqS*&itE-Er-zuGmmqq7^9#?FT4SxT&S?^7VsDh@vi13NzoR>iqXD=1aj{g_kjF|(|=cb`ZHnt2zFr#POu`*MS= z-|&)U5_wzKilz$eGCBA78twV6{=T2LgRX2ym*G+`gB@odAYo*`Ctj@SJUd?YmRKZ0 zXGe3viWS}Rtw`ZZf398Nb+weo5dmUIZn=XRu8i2Tc49uZ{Kk{pfbDyMUi!NOz0!sY zX>j80>^WFMam>`OsKFPS|IX(+k3npBn-_GJNiZQkB~R1aq>6|Zuf)hL2BEJI>V0A$ 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