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They are similar. In many problems, both methods can be used. You can view Fourier transform is the Laplace transform on the circle, that is |z|=1. When you do Fourier transform, you don't need to worry about the convergence region. However, you need to find the convergence region for each Laplace transform.
The discrete version of Fourier transform is discrete Fourier transform, and the discrete version of Laplace transform is Z-transform.
What else can I help you with?
What is the difference between Fourier transform and Laplace transform and z transform?
Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.
Why fourier transform is used in digital communication why not laplace or z transform?
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What is the difference between unilateral and bilateral laplace transform?
unilateral means limit is 0 to infinite and bilateral means -infinite to +infinite in laplace transform
What is the fourier transform of the Laplace operator of a function?
Let F(f) be the fourier transform of f and L the laplacian in IR3, then F(Lf(x))(xi) = -|xi|2F(f)(xi)
The Laplace transform of sin3t?
find Laplace transform? f(t)=sin3t
What is the difference between Fourier transform and Laplace transform and z transform?
Fourier transform and Laplace transform are similar. Laplace transforms map a function to a new function on the complex plane, while Fourier maps a function to a new function on the real line. You can view Fourier as the Laplace transform on the circle, that is |z|=1. z transform is the discrete version of Laplace transform.
What are the key differences between the Fourier transform and the Laplace transform?
The key difference between the Fourier transform and the Laplace transform is the domain in which they operate. The Fourier transform is used for signals that are periodic and have a frequency domain representation, while the Laplace transform is used for signals that are non-periodic and have a complex frequency domain representation. Additionally, the Fourier transform is limited to signals that are absolutely integrable, while the Laplace transform can handle signals that grow exponentially.
What is relation between laplace transform and fourier transform?
The Laplace transform is related to the Fourier transform, but whereas the Fourier transform expresses a function or signal as a series of modes ofvibration (frequencies), the Laplace transform resolves a function into its moments. Like the Fourier transform, the Laplace transform is used for solving differential and integral equations.
What are the key differences between the Laplace transform and the Fourier transform?
The key differences between the Laplace transform and the Fourier transform are that the Laplace transform is used for analyzing signals with exponential growth or decay, while the Fourier transform is used for analyzing signals with periodic behavior. Additionally, the Laplace transform includes a complex variable, s, which allows for analysis of both transient and steady-state behavior, whereas the Fourier transform only deals with frequencies in the frequency domain.
Why fourier transform is used in digital communication why not laplace or z transform?
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What are the differences between the Laplace and Fourier transforms in signal processing and which one is more suitable for analyzing certain types of signals?
The Laplace transform is used for analyzing continuous-time signals, while the Fourier transform is used for analyzing periodic signals. The Laplace transform is more suitable for signals with exponential growth or decay, while the Fourier transform is better for signals with periodic components. The choice between the two depends on the specific characteristics of the signal being analyzed.
What is the difference between unilateral and bilateral laplace transform?
unilateral means limit is 0 to infinite and bilateral means -infinite to +infinite in laplace transform
What are the differences between Laplace and Fourier transforms?
Laplace and Fourier transforms are mathematical tools used to analyze functions in different ways. The main difference is that Laplace transforms are used for functions that are defined for all real numbers, while Fourier transforms are used for functions that are periodic. Additionally, Laplace transforms focus on the behavior of a function as it approaches infinity, while Fourier transforms analyze the frequency components of a function.
Why Laplace transform is used in analysis of control system why not Fourier?
it is used for linear time invariant systems
What is the fourier transform of the Laplace operator of a function?
Let F(f) be the fourier transform of f and L the laplacian in IR3, then F(Lf(x))(xi) = -|xi|2F(f)(xi)
What is the use of the Laplace transform in industries?
The use of the Laplace transform in industry:The Laplace transform is one of the most important equations in digital signal processing and electronics. The other major technique used is Fourier Analysis. Further electronic designs will most likely require improved methods of these techniques.
Difference between z transform and laplace transform?
The Laplace transform is used for analyzing continuous-time signals and systems, while the Z-transform is used for discrete-time signals and systems. The Laplace transform utilizes the complex s-plane, whereas the Z-transform operates in the complex z-plane. Essentially, the Laplace transform is suited for continuous signals and systems, while the Z-transform is more appropriate for discrete signals and systems.
