The multiplication of two discrete Fourier transforms (DFTs) is equal to the ______ of two sequences in the time-domain.

The correct answer is option 1):(Circular convolution)

Concept:

• Circular convolution, also known as cyclic convolution, is a special case of periodic convolution, which is the convolution of two periodic functions that have the same period
• Convolution in the time domain is equal to multiplication in the frequency domain and vice versa.
• If X(ω) and Y(ω) are the Fourier transforms of x(t) and y(t)

then

x(t) * y(t) = X(ω) × Y(ω)

• If X(s) and Y(s) are the Laplace transforms of x(t) and y(t), t

hen x(t) * y(t) = X(s) × Y(s)

• Hence the multiplication of two discrete Fourier transforms (DFTs) is equal to the Circular convolution of two sequences in the time-domain.