Fourier Transform vs Laplace Transform-Difference between Fourier Transform and Laplace Transform
This page on Fourier Transform vs Laplace Transform describes basic difference between Fourier Transform and Laplace Transform.
Fourier Transform
The Fourier Transform provides a frequency domain representation of time domain signals. It is expansion of fourier series to the non-periodic signals.
Following are the fourier transform and inverse fourier transform equations.
Following table mentions fourier transform of various signals.
• Fourier Transform of a real signal is always even conjugate in nature.
• Shifting in time domain changes phase spectrum of the signal only.
• Compression in time domain leads to expansion in frequency domain and vice-versa.
Laplace Transform
The main drawback of fourier transform (i.e. continuous F.T.) is that it can be defined only for stable systems. Where as, Laplace Transform can be defined for both stable and unstable systems.
Following are the Laplace transform and inverse Laplace transform equations.
Following table mentions Laplace transform of various functions.
To convert Laplace transform to Fourier tranform, replace s with j*w, where w is the radial frequency. in units of radians per second (rad/s).
what is difference between
difference between FDM and OFDM
Difference between SC-FDMA and OFDM
Difference between SISO and MIMO
Difference between TDD and FDD
Difference between 802.11 standards viz.11-a,11-b,11-g and 11-n
OFDM vs OFDMA
CDMA vs GSM
Bluetooth vs zigbee
Fixed wimax vs mobile