Contents
Fourier Transform and its basic Properties:
Fourier Transform:
- $ \ X(f) = \int_{-\infty}^{\infty} x(t)\ e^{- j 2 \pi f t}\,dt, $
Inverse Fourier Transform:
- $ f(x) = \int_{-\infty}^{\infty} X(f)\ e^{j 2 \pi f t}\,df, $
for every real number f & x.
Basic Properties of Fourier Transforms:
Linearity:
Time Shifting:
Frequency Shifting:
Time Scaling:
Convolution:
