Apply frequency-dependent attenuation on a signal

Hi.

I am dealing with a series of signals (S) in the time-domain with specific sample rates (Fs), where:

L = signal_size;              % Length of signal - 500 in this example
f = Fs*(0:(L/2))/L;		      % Frequencies

As an example, the signal (S1) looks like this:

For a signal with 500 samples, (f) represents 251 frequency points.

Consider a system where it attenuates signals differently in each of those 251 frequency points.

The attenuation rate (ar) (in dB) for all desired frequencies (f) is available:

How is it possible to apply a frequency-dependent attenuation on a signal?

Is it accurate to take the FFT of the original signal and apply the attenuation rate on half the spectrum (where the frequency response is available), then re-create the full spectrum and take it back to the time domain, as I tried to do in the code below?

A1 = fft(S1);                   % FFT of the original signal
A2 = A1(1:L/2+1);               % Seperating half the spectrum
A2 = A2.*10.^(-ar./20);         % Apply system frequnecy response
A3 = flipud(A2(2:end-1));       % Re-creating the seond part
A4 = -1*imag(A3);
A5 = real(A3);
A6 = complex (A5,A4);
A7 = [A2;A6];
A8 = ifft(A7);                  % Take signal back to time-domain

Your help would be very welcome.

Thanks.