Please show working and explanation if possible. Thank you so much in advance b) Given that the Fourier transform of f() is g(w)- esf (7 marks) Deduce the Fourier transform of f"(t + τ). c) A...
b) Given that the Fourier transform of f() is g(w)- esf (7 marks) Deduce the Fourier transform of f"(t + τ). c) A Free nduction Decay (FID) signal from a certain spectroscopic experiment was measured to be 7. )- A ex exp -i2 T. for t > 0, where Q, and Ω2 are 150x106 radian/s and 200x10° radians, respectively, while T, and 7, are 25 ns and 50 ns, respectively. Perform a Fourier transform on the FID signal to obtain the spectrum. Plot the real part of the spectrum. (10 marks)
b) Given that the Fourier transform of f() is g(w)- esf (7 marks) Deduce the Fourier transform of f"(t + τ). c) A Free nduction Decay (FID) signal from a certain spectroscopic experiment was measured to be 7. )- A ex exp -i2 T. for t > 0, where Q, and Ω2 are 150x106 radian/s and 200x10° radians, respectively, while T, and 7, are 25 ns and 50 ns, respectively. Perform a Fourier transform on the FID signal to obtain the spectrum. Plot the real part of the spectrum. (10 marks)