Mumbai University > Computer Engineering > Sem 7 > Digital Signal Processing

Marks: 10 Marks

Year: May 2016

1. Shifting Property

If $x(n) \leftarrow FT\rightarrow x(k) OR x(n) \leftarrow FT\rightarrow X(\omega)$

Then, $x(n-m)\leftarrow FT\rightarrow W_N^{mk}.x(k)$

i.e, $x(n-m)\leftarrow FT\rightarrow e^{-j\omega k } X(\omega)$

& $x(n+m) \leftarrow FT\rightarrow W_N^{-mk}.x(k)$

Shifting property states that when a signal is shifted by m samples then the magnitude spectrum is unchanged but the phase …