Abstract
If the signal is amplitude bounded, the Fourier transform domain samples are also amplitude bounded. These amplitude bounds are not the same for all the samples in the transform domain. If all the samples having the same amplitude bounds are grouped together, Fourier domain gets partitioned into sets of samples. The result was proved earlier when the number of samples subjected to Fourier transformation was an integral power of 2. The result is generalized in this paper and the set-dependent amplitude bounds in the Fourier transform domain are obtained.
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