Signals and Systems

SHORT QUESTIONS AND ANSWERS

 

Q1. Give the Dirichlet conditions:

Ans. The following are the Dirichlet conditions:

• The function has a finite number of finite discontinuities in each period.
• The function has a finite number of maxima and minima in each period.
• The integral is finite.

Q2. Define Fourier Series.

Ans. If any periodic function f(t) satisfies Dirichlet conditions, it is possible to express it in an infinite series as follows:

 

f(t) = a₀ + a₁cos ωt + a₂cos 2ωt + … + a_ncos nωtb₀ + b₁sinωt + b₂sin 2ωt + … + b_nsin nωt

 

 

Q3. Give the ...