Signals & Systems - GATE practice papers - Electronics & Communication for Q. 527

Q.  Which Fourier Dirichlet conditions for transform existence specify the necessity of possessing finite values of the signal at any instant over a finite interval of time (T) ? (Marks : 02)
- Published on 19 Oct 15

a. Single Valued Property
b. Finite-discontinuities
c. Finite Peaks
d. Absolute Integration

ANSWER: Single Valued Property
 
The conditions which provide chances to the periodic function to get expanded in a convergent Fourier series , are renowned as Dirichlet Conditions.
Thus, the very first Dirichlet condition states that, the signal should have only the finite values over any time instant for a finite interval of time so the signal can be considered to be fourier transformable.
This condition implies the single-valued property that does not change or tend to increase over the infinite time intervals.

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