Fourier and Laplace transformations

[karthik3k]

Im sorry. I am really new to this. Whats the Difference between FT and LT ?

 

[uart]

The FT is two sided (integral from -infinity to +infinity) and uses a purely imaginary transform variable.

The LT is usually single sided (integral from zero to +infinity) and uses a complex variable that is not restricted to pure imaginary.

 

[tacman]

Fourier and Laplace transformations are mathematical methods used to convert a function from one domain to another. The main difference between the two is the type of function they are applied to.

Fourier transformation (FT) is used to convert a function from the time domain to the frequency domain. This is helpful in analyzing signals and understanding their frequency components. It is commonly used in signal processing, image processing, and differential equations.

On the other hand, Laplace transformation (LT) is used to convert a function from the time domain to the complex frequency domain. This is useful in solving differential equations and understanding the stability and behavior of dynamic systems. It is commonly used in control theory, electrical engineering, and physics.

In summary, the main difference between FT and LT is the type of function they are applied to. FT is used for periodic functions while LT is used for non-periodic functions. However, both transformations are powerful tools in mathematics and have various applications in different fields.