Signals & Systems

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Fourier Transform

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FT of Step Function

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

Darshan N

Updated: 19 March 2026

12 min read

#Signals & Systems

Unit Step FT Quiz

Test your understanding of the Fourier transform of the unit step function and its impulse plus distribution components.

Question 1 of 3

Q1.The Fourier transform of the unit step function u(t) is:

FT of Impulse Function

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

9 min read

Unit Step Function

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

12 min read

FT of Exponential Signal

e^(-at)u(t) <-> 1/(a+jw), causal exponential.

11 min read

FT of Rectangular Pulse

rect(t/T) <-> T*sinc(wT/2pi), spectral spreading.

11 min read

Multiplication Property FT

x*y in time <-> (1/2pi)X*Y convolution in frequency.

9 min read

FT of Signum Function

FT of Cosine and Sine

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