GATE IN 2025 | Question: 38

Question

Let $f(t)$ and $g(t)$ represent continuous-time real-valued signals. If $h(t)$ denotes cross-correlation between $f(t)$ and $g(-t)$, its continuous-time Fourier transform $H(j \omega)$ equals

Note: $F(j \omega)$ and $G(j \omega)$ denote the continuous-time Fourier transforms of $f(t)$ and $g(t)$, respectively.

• A. $F(j \omega) G(j \omega)$
• B. $F(-j \omega) G(j \omega)$
• C. $F(j \omega) G(-j \omega)$
• D. $-F(j \omega) G(-j \omega)$