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Unit Step Function

u(t) definition, properties, relation to other signals.

Darshan N

Updated: 19 March 2026

12 min read

#Signals & Systems

Unit Step Function

Test your knowledge of the unit step function definition, properties, and its role in signal representation.

Question 1 of 3

Q1.The derivative of the unit step function u(t) in the distributional sense is:

FT of Step Function

u(t) <-> pi*delta(w) + 1/jw.

12 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

Ramp Signal

r(t) = t*u(t), relation to step function by integration.

9 min read

Sinusoidal Signals

Amplitude, frequency, phase, representation forms.

12 min read

Real and Complex Signals

Unit Impulse Function

Contents

Unit Step Function

Unit Step Function

Q1.The derivative of the unit step function u(t) in the distributional sense is:

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FT of Step Function

Signum Function

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Ramp Signal

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