S&S Imp Questions

S&S MID IMPORTANT QUESTIONS

II ECE

Unit-I

1. a) Define and Sketch the

i) Impulse ii) exponential iii) Step function iv) Signum function

b) Express the Impulse function in terms of step function and explain

2. a) Explain

i) How signum function is expressed in terms of unit step function

ii) How Step function is expressed in terms of Impulse

. b) Prove the following signals are periodic and their fundamental period is

3. a) Determine whether the following signals are energy signals, power signals or

neither.

4. a) Determine whether each of the following sequences are periodic or not. If

Periodic determine the fundamental period.

i) x₁(t) = sin (6Пn/7) ii) x₂(t) = sin (n/8) iii) x₃(t) = 2sin (Пn/10)

b) Explain the concept of Sinc function.

Unit-II

1. Discuss the concept of Trigonometric Fourier series and derive the expressions for coefficients.

2. a) Derive the relations between exponential and trigonometric Fourier series

coefficients

b) Explain the symmetry of waveform and comment on Fourier co-efficient

3. a) State strong and weak Drichlet’s conditions.

b) Find the Fourier series expansion of the half wave rectified sine wave shown

below

4. a) Find the exponential Fourier series for the periodic waveform shown below and draw its spectrum.