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sreedhar
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Homework Statement
Can some body differentiate laplace,fourier,Z-transforms?
Homework Equations
The Attempt at a Solution
they are related to engineering field. Z-transforms used in discrete signals?
sreedhar said:they are related to engineering field. Z-transforms used in discrete signals?
Laplace, Fourier, and Z-transforms are mathematical tools used in signal processing and control systems to convert signals from one domain (such as time) to another (such as frequency).
The main difference between these transforms is the type of signals they can be applied to. Laplace transform is used for continuous-time signals, Fourier transform is used for periodic signals, and Z-transform is used for discrete-time signals.
Laplace transforms are commonly used to analyze and design control systems, while Fourier transforms are used in analyzing signals and systems in communication and image processing. Z-transforms are often used in digital signal processing and discrete-time control systems.
These transforms allow us to view signals and systems from a different perspective, making it easier to analyze and understand their behavior. They also provide a way to solve differential equations, which are commonly used in engineering and science.
Some examples of real-world applications include audio and video compression, speech recognition, and digital filters used in electronic devices. These transforms are also used in medical imaging, radar systems, and many other fields of engineering and science.