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Signals and Systems by Smarajit Ghosh

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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 Image 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 + … + ancos nωtb0 + b1sinωt + b2sin 2ωt + … + bnsin nωt

 

image

 

Q3. Give the ...

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