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Fourier Transform

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Laplace Transform

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Z-Transform Definition Z-Transform ROC Z-Transform of Standard Sequences Z-Transform Properties Inverse Z-Transform Transfer Function H(z)Stability from Z-Transform

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FT of Signum Function

sgn(t) <-> 2/jw, distribution sense.

Darshan N

Updated: 19 March 2026

5 min read

#Signals & Systems

Signum Function FT

Test your knowledge of the Fourier transform of the signum function and its derivation in the distribution sense.

Question 1 of 3

Q1.The Fourier transform of the signum function sgn(t) is:

Signum Function

sgn(t), relation to step function.

12 min read

FT of Impulse Function

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

9 min read

FT of Rectangular Pulse

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

11 min read

Convolution Theorem FT

x*h in time <-> X*H multiplication in frequency.

7 min read

Multiplication Property FT

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

9 min read

FT of Exponential Signal

FT of Step Function

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