Deconvolution creates new peaks
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Hi, I'm trying to remove some noise on an accelerometer signal, this is mounted on the back of a hammer and I would ideally position it on the front to measure the acceleration of the impact. Both the accelerometer and the load cell signals have seven impacts. To remove the influnce of the body of the hammer I tryed to estimate the transfer function using tfestimate and then performing a deconvolution of the signal. This seems to work at first but zooming on the impacts, some peaks have doubled, like the fourth one:

this is my code:
load('accCorrectedReduced.mat')
load('forceCorrectedReduced.mat')
L = length(acc);
fs=51201;
%% deconvolution
nfft = L;
[Txy, f] = tfestimate(force, acc, hann(nfft), 0.7*fs, nfft, fs);
Y = fft(acc, nfft);
TxyFull = [Txy; conj(Txy(end-1:-1:2))];
fFull = linspace(0,fs,nfft);
TxyInterp = interp1(f, Txy, fFull(1:length(f)), 'linear', 'extrap');
TxyFull = [TxyInterp, conj(TxyInterp(end-1:-1:2))];
X_estimated = Y(1:end-1) ./ TxyFull.';
x_deconvolved = ifft(X_estimated);
figure;
plot( acc);
hold on
plot(-abs(x_deconvolved));
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Paul
2025-3-3
编辑:Paul
2025-3-3
Hi Riccardo,
It might be simpler to just use the twosided option of tfestimate
Also, the input data is single, might want to convert to double for processing.
load('accCorrectedReduced.mat')
load('forceCorrectedReduced.mat')
whos
L = length(acc);
fs = 51201;
%% deconvolution
nfft = L;
[Txy, f] = tfestimate(force, acc, hann(nfft), 0.7*fs, nfft, fs,'twosided');
Y = fft(acc, nfft);
%TxyFull = [Txy; conj(Txy(end-1:-1:2))];
%fFull = linspace(0,fs,nfft);
%TxyInterp = interp1(f, Txy, fFull(1:length(f)), 'linear', 'extrap');
%TxyFull = [TxyInterp, conj(TxyInterp(end-1:-1:2))];
%X_estimated = Y(1:end-1) ./ TxyFull.';
X_estimated = Y./Txy;
x_deconvolved = ifft(X_estimated);
figure;
plot(acc);
hold on
%plot(-abs(x_deconvolved));
plot(-x_deconvolved)
Zoom in on each peak
[~,locs] = findpeaks(x_deconvolved,'MinPeakHeight',20,'MinPeakProminence',10);
numel(locs)
n = 1:numel(acc);
for ii = 1:numel(locs)
figure
index = (-1000:1000) + locs(ii);
plot(n(index),acc(index))
hold on
plot(n(index),-x_deconvolved(index))
end
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