The correct answer is: C. E-1, F-2, G-3, H-4
A continuous signal is a signal that can be defined at every point in time. An aperiodic signal is a signal that does not repeat itself at regular intervals. A discrete signal is a signal that is defined only at a finite number of points in time. A periodic signal is a signal that repeats itself at regular intervals.
The Fourier transform is a mathematical tool that can be used to decompose a signal into its constituent frequencies. The Fourier transform of a continuous and aperiodic signal is a continuous and aperiodic function. The Fourier transform of a continuous and periodic signal is a discrete and periodic function. The Fourier transform of a discrete and aperiodic signal is a discrete and aperiodic function. The Fourier transform of a discrete and periodic signal is a discrete and periodic function.
Therefore, the correct match is:
Group I | Group II
——- | ——–
E. Continuous and aperiodic signal | 1. Fourier representation is continuous and aperiodic.
F. Continuous and periodic signal | 2. Fourier representation is discrete and periodic.
G. Discrete and aperiodic signal | 3. Fourier representation is discrete and aperiodic.
H. Discrete and periodic signal | 4. Fourier representation is discrete and periodic.