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Unit Impulse Function

Delta function, sifting property, area interpretation.

Darshan N

Updated: 19 March 2026

8 min read

#Signals & Systems

Unit Impulse Function

Test your understanding of the Dirac delta function, the sifting property, and its use in system analysis.

Question 1 of 3

Q1.Applying the sifting property, the integral from -infinity to +infinity of x(t) * delta(t - t0) dt evaluates to:

FT of Impulse Function

delta(t) <-> 1, flat spectrum.

9 min read

Signum Function

sgn(t), relation to step function.

12 min read

Sinc Function

sinc(t) = sin(πt)/(πt), Fourier dual of rect.

6 min read

Sinusoidal Signals

Amplitude, frequency, phase, representation forms.

12 min read

Transfer Function H(z)

Discrete system function, FIR vs IIR characterization.

4 min read

Unit Step Function

Ramp Signal

Contents

Unit Impulse Function

Unit Impulse Function

Q1.Applying the sifting property, the integral from -infinity to +infinity of x(t) * delta(t - t0) dt evaluates to:

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