Signals and Systems

SIGNIFICANT POINTS

The Fourier transform of discrete time signal x(n) is denoted by X(w) and it is given by

 

 

The Fourier transform of discrete sequence x(n) is given by

 

 

where X(ω) is the continuous function of ω and the range of ω is from − π to + π or 0 to 2π.

 

Symmetry Properties of Fourier Transform

 

Properties of Fourier Transform

 

Circular Folded Sequence

x (n)N

N-point sequence plotted across the circle anti-clockwise ...