Fourier Transform of Set-Valued Functions with an Application in Signal Processing
Abstract
In this paper, we have presented an application with respect to the Fourier transform of an interval-valued function. Thanks to this application we have obtained some information about the Fourier transform of the signals with inexact data. For this purpose we have identified the interval signal that most closely resembles this non-deterministic signal with a very small error. This continuous-time interval signal is called as model
interval signal. Therefore, we have obtained approximate results for the Fourier transform of non-deterministic signals by calculating the Fourier transform of this model interval signal.
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References
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