Fourier analysis of waveforms and clipping wave, HELP PLEASE!!!

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Hello all, (Below I have included sample data) So I am working on the fourier spectrum of a waveform. However I need to only take the initial peak of the waveform (the 1 to 1.5 period) of the waveform that I have and achieve a fourier spectrum for that. This has proved to be quite difficult as truncating the waveform is no good as it adds high frequencies to the spectrum. I am clipping the waveform with a find() index command and simply adding a few index values before and after the clip and worked to taper the waveform off using a hamming window (also tried blackman window). There must be a better way of doing this, perhaps building a filter, however I am unsure how to do this. Or perhaps I am doing something else wrong in my calculations. (Sorry for the big question, Been teaching myself matlab for a few months now have been stumped for a while on this problem.)
My code is as follows:
alumdt=1E-8; % Time Step
alumt0=0+alumdt; % Start pick point
alumFs=1/alumdt; % Sampling Frequency
L=9999; % Length
alumt=(0:L-1)*alumdt; % Time array by steps of dt
alumAmplP=alumdata (9:10008,5); % Amplitude Array P wave
NFFT=2^nextpow2(L); % Nyquist Frequecy maybe, length of Fourier window
alumfP=alumFs/2*linspace (0,1,NFFT/2+1);
alumAmplP_2=alumAmplP (1:L); % Amplitude through all steps
alumYP=fft (alumAmplP_2,NFFT)/L;
absalumYP=abs(alumYP);
AlumSpectrum = [transpose(alumfP),2*absalumYP(1:NFFT/2+1)];
absoluteRange = (0:1500:1.25*10^8);
alumYYP = interp1(transpose(AlumSpectrum(1:8193,1)),AlumSpectrum(1:8193,2),absoluteRange);
alumPick = find(alumAmplP > .025, 1, 'first') - 200;
alumPickEnd = alumPick + 600;
alumTimePick = (alumPick*alumdt:alumdt:alumPickEnd*alumdt);
ClippedAlumWave = alumAmplP(alumPick:alumPickEnd);
ClippedAlumT = (alumTimePick);
TaperClippedAlumWave = window(@hamming,numel(ClippedAlumT)).*transpose(ClippedAlumWave)';
%L2 = 319;
alumL2 = length(alumTimePick);
NFFT=2^nextpow2(L); % Nyquist Frequecy maybe, length of Fourier window
alumfP=alumFs/2*linspace (0,1,NFFT/2+1);
ClippedalumAmplP_2=TaperClippedAlumWave; % Amplitude through all steps
ClippedalumYP=fft (ClippedalumAmplP_2,NFFT)/alumL2;
absClippedalumYP = abs(ClippedalumYP);
ClippedAlumSpectrum = [transpose(alumfP),2*absClippedalumYP(1:NFFT/2+1)];
absoluteRange = (0:1500:1.25*10^8);
ClippedalumYYP = interp1(transpose(ClippedAlumSpectrum(1:8193,1)),ClippedAlumSpectrum(1:8193,2),absoluteRange);
figure(1)
subplot(2,1,1)
hold on
plot(alumt, alumAmplP(1:9999))
title('Aluminum Wave-Form')
xlabel('Time (s)')
ylabel('Amplitude')
hold on
line([alumPick*alumdt alumPick*alumdt], [-.15 .15])
line([alumPickEnd*alumdt alumPickEnd*alumdt], [-.15 .15])
subplot(2,1,2)
hold on
plot(absoluteRange,alumYYP)
title('Aluminum Spectrum')
xlabel('Frequency (Hz)')
ylabel('Amplitude')
xlim([0 1.5E6])
figure(2)
subplot(2,1,1)
hold on
plot(ClippedAlumT,TaperClippedAlumWave)
title('Aluminum Wave-Form Initial Peak')
xlabel('Time (s)')
ylabel('Amplitude')
subplot(2,1,2)
hold on
plot(absoluteRange, ClippedalumYYP)
title('(Clip) Aluminum Spectrum')
xlabel('Frequency (Hz)')
ylabel('Amplitude')
xlim([0 1.5E6])
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
Please help if you can, Thank you so much, Dan
Below I have posted some sample data. the time step for the sample data is 1E-8 = dt
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