IRATE
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,Fourier Transform Analysis of Continuous Time Signals, such representation, the aperiodic signal .(.) in the time domain is transformed to . in the frequency domain. The transformations from .(.) to . and from . to .(.) are called Fourier transform and inverse Fourier transform, respectively. They are also called Fourier transform pairs.
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,Fourier Transform Analysis of Discrete Time Signals and Systems—DTFT, DFT and FFT, as a sum of everlasting exponential by Fourier series in Chap. ., by applying limiting process to aperiodic signal .[.], it can be expressed as a sum of everlasting exponentials. The spectrum . so obtained is called Discrete Time Fourier Transform (DTFT).
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The Laplace Transform Method for the Analysis of Continuous Time Signals and Systems,unctions and celestial mechanics, Laplace was honored by Napoleon, as a policy of honoring and promoting scientists of high caliber, by appointing him as a minister in the French Government. However, Laplace, a born genius, showed more interest in his research activities and totally neglected the administrative work in the government.
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The ,-Transform Analysis of Discrete Time Signals and Systems,ems whereas .-transform can be applied even to unstable systems which means that .-transform can be used to a larger class of systems and signals. It is to be noted that many of the properties in DTFT, Laplace transform and .-transform are common except that the Laplace transform deals with continuous time signals and systems.
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er. The topics such as the representation of signals, convolution, Fourier Series and Fourier Transform, Laplace transform, Z-transform, and state-space analysis are explained with a large number of numerical e978-3-030-75744-1978-3-030-75742-7