# Signal Processing (b): Which statement(s) in the Fourier transform is/are correct? ?

i) The Fourier transform is a linear transform of time signal.

ii) The Fourier transform is a non-linear transform of a time signal.

iii) The Gaussian distribution is an Eigenfunction of the Fourier transform, i.e. it is transformed into itself by the Fourier transform.

iv) A temporal compression of a signal y a factor 𝜆 > 0 results in a compression by the same factor in the frequency domain

v) The spectrum of a real-valued time signal is always real valued.

vi) The spectrum is a real-valued signal has a real part with an even symmetry and an imaginary part with odd symmetry.