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karthik3k
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Im sorry. I am really new to this. Whats the Difference between FT and LT ?
The Fourier transformation is used to convert a signal from the time domain to the frequency domain, while the Laplace transformation is used to convert a signal from the time domain to the complex frequency domain. In other words, the Fourier transformation is used for signals that are periodic, while the Laplace transformation is used for signals that are non-periodic.
Fourier and Laplace transformations are used to simplify the analysis of complex signals that are difficult to analyze in the time domain. They allow us to break down a signal into simpler components and analyze each component separately.
A one-sided Laplace transformation only considers signals that are causal, meaning they only exist for positive time values. A two-sided Laplace transformation allows for signals that are both causal and acausal, meaning they exist for both positive and negative time values.
The Laplace transformation is actually an extension of the Fourier transformation. The Laplace transformation can be thought of as a complex version of the Fourier transformation, where the complex frequency is used instead of the real frequency.
Fourier and Laplace transformations are used in a wide range of fields, including signal processing, image processing, control systems, and quantum mechanics. They are also commonly used in solving differential equations and in the analysis of electrical circuits and systems.