please can anyone help me to solve this ?? m hving a matlab code convert this code into C programm
Decoding VMD algorithm
Step01: Initialization of all required parameters based on the length of the signal
Step02: Reduce edge effect by mirroring signal;
Step03: Signal frequency domain with full bandwidth
Step04: Get half of the bandwidth
Step04: FFT for initial IMFs and get half of bandwidthl;
Step05: Obtain Frequency vector
Step06: Get the initial central frequencies
Step07: Optimization iterations
Step08: Convert to time domain signal
Step09: Calculate residual
%%--------------------- Step01: --------------------------------
PenaltyFactor=100;
LMUpdateRate=0.0100;
AbsoluteTolerance=5.0000e-06;
RelativeTolerance=0.0050;
MaxIterations=1000;
InitialIMFs=zeros(length(x),5);
InitialLM=zeros(length(x)+1,1);
CentralFrequencies= [];
InitializeMethod='peaks';
FFTLength=2*length(x);
NumIMFs= 5;
SignalLength= length(x);
HalfSignalLength=length(x)/2;
MirroredSignalLength=2*length(x);
DataType= 'double';
NumHalfFreqSamples= length(x)+1;
Display= 0;
%%
nfft = FFTLength;
penaltyFactor = PenaltyFactor;
numIMFs = NumIMFs;
relativeDiff = inf;
absoluteDiff = relativeDiff;
tau = LMUpdateRate; % Lagrange multiplier update rate
%%--------------------- Step02 & Step 03-------------------------
xr = [x(HalfSignalLength:-1:1); x; x(SignalLength:-1:ceil(SignalLength/2)+1)];
y = fft(xr,FFTLength);
sigFDFull = y;
% Get half of the bandwidth
sigFD = sigFDFull(1:NumHalfFreqSamples);
%%--------------------- Step 04 --------------------------------
initIMFfdFull = fft(InitialIMFs,nfft);
initIMFfd = initIMFfdFull(1:NumHalfFreqSamples,:) + eps;
IMFfd = initIMFfd;
sumIMF = sum(IMFfd,2);
LM = InitialLM(:); % Lagrange Multiplier
%% Frequency vector from [0,0.5) for odd nfft and [0,0.5] for even nfft
%%--------------------- Step 05 --------------------------------
f = (0:(nfft/2))/nfft;
%%--------------------- Step 06 --------------------------------
%% Get the initial central frequencies
x=abs(sigFD);
BW = 2/FFTLength; % bandwidth of signal
minBWGapIndex = 2*BW/f(2);
x(x<mean(x)) = mean(x);
TF = islocalmax(x,'MinSeparation',minBWGapIndex);
pkst = x(TF);
locst = f(TF);
numpPeaks = length(pkst);
% Check for DC component
if x(1) >= x(2)
pks = zeros(numpPeaks+1,1);
locs = pks;
pks(2:length(pkst)+1) = pkst;
locs(2:length(pkst)+1) = locst;
pks(1) = x(1);
locs(1) = f(1);
else
pks = zeros(numpPeaks,1);
locs = pks;
pks(1:length(pkst)) = pkst;
locs(1:length(pkst)) = locst;
end
[~,index] = sort(pks,'descend');
centralFreq = 0.5*rand(NumIMFs,1);
% Check if the number of peaks is less than number of IMFs
if length(locs) < NumIMFs
centralFreq(1:length(locs(index))) = locs;
else
centralFreq(1:NumIMFs) = locs(index(1:NumIMFs));
end
%%
iter = 0;
f=f';
initIMFNorm = abs(initIMFfd).^2;
normIMF = zeros(size(initIMFfd,1),size(initIMFfd,2));
%%--------------------- Step 07 --------------------------------
while (iter < MaxIterations && (relativeDiff > RelativeTolerance ||...
absoluteDiff > AbsoluteTolerance))
for kk = 1:numIMFs
sumIMF = sumIMF - IMFfd(:,kk);
IMFfd(:,kk) = (sigFD - sumIMF + LM/2)./...
(1+penaltyFactor*(f - centralFreq(kk)).^2);
normIMF(:,kk) = abs(IMFfd(:,kk)).^2;
centralFreq(kk) = (f.'*normIMF(:,kk))/sum(normIMF(:,kk));
sumIMF = sumIMF + IMFfd(:,kk);
end
LM = LM + tau*(sigFD-sumIMF);
absDiff = mean(abs(IMFfd-initIMFfd).^2);
absoluteDiff = sum(absDiff);
relativeDiff = sum(absDiff./mean(initIMFNorm));
% Sort IMF and central frequecies in descend order
% In ADMM, the IMF with greater power will be substracted first
[~,sortedIndex] = sort(sum(abs(IMFfd).^2),'descend');
IMFfd = IMFfd(:,sortedIndex);
centralFreq = centralFreq(sortedIndex(1:length(centralFreq)));
initIMFfd = IMFfd;
initIMFNorm = normIMF;
iter = iter + 1;
end
%%--------------------- Step 08 --------------------------------
%% Convert to time domain signal
% Transform to time domain
IMFfdFull = complex(zeros(nfft,numIMFs));
IMFfdFull(1:size(IMFfd,1),:) = IMFfd;
if ~mod(FFTLength,2)
IMFfdFull(size(IMFfd,1)+1:end,:) = conj(IMFfd(end-1:-1:2,:));
else
IMFfdFull(size(IMFfd,1)+1:end,:) = conj(IMFfd(end:-1:2,:));
end
[~,index] = sort(centralFreq,'descend');
%%
z=IMFfdFull(:,index);
xr = real(ifft(z,FFTLength));
IMFs_without_inbuild = xr(HalfSignalLength+1:MirroredSignalLength-HalfSignalLength,:);
%%--------------------- Step 09 --------------------------------
residual_without_inbuild = PPGblr1 - sum(IMFs_without_inbuild,2);