This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Dirichlet’s Conditions”.

1. What are the Dirichlet’s conditions?

a) Conditions required for fourier series to diverge

b) Conditions required for fourier series to converge if continuous

c) Conditions required for fourier series to converge

d) Conditions required for fourier series to diverge if continuous

2. What is the first Dirichlet’s condition?

a) Over any period, signal x(t) must be integrable

b) Multiplication of the signals must be continuous

c) x(t) should be continuous only

d) A signal can be integrable except break points

3. How many dirichlet’s conditions are there?

a) One

b) Two

c) Three

d) Four

4. Is dirichlet’s condition possible in case of discrete signals?

a) True

b) False

5. What is the second dirichlet’s condition?

a) In any finite interval, x(t) is of bounded variation

b) In most of a finite interval, x(t) is of bounded variation

c) In any finite interval, x(t) is of unbounded variation

d) In majority finite interval, x(t) is of unbounded variation

6. What is the third dirichlet’s condition?

a) Finite discontinuities in the infinite interval

b) Finite discontinuities in the finite interval

c) Infiinite discontinuities in the infinite interval

d) Finite discontinuities in the all the intervals

7. What guarantees that coefficient is finite in a dirichlet’s condition?

a) First condition

b) Second condition

c) Third condition

d) Fourth condition

8. There are maxima and minima not possible in dirichlet’s conditions.

a) True

b) False

9. In the third condition, does each of the discontinuities need to be finite?

a) All the time

b) Sometimes

c) Never

d) Rarely

10. What is the sum of the series at a point when the signal is discontinuous?

a) Average of the previous limits

b) Previous limits are considered

c) Future limits are added

d) Average of left hand limit and right hand limit are taken