Scale periodicity and its sampling theorem

  title={Scale periodicity and its sampling theorem},
  author={Hari Sundaram and Shiv Dutt Joshi and R. K. P. Bhatt},
  journal={IEEE Trans. Signal Processing},
The Scale transform is a new representation for signals, offering perspective different from the Fourier transform. In this paper, we introduce the notion of a scale periodic function. These functions are then represented through the discrete scale series. We also define the notion of a strictly scale limited signal. Analogous to the Shannon interpolation formula, we show that such signals can be exactly reconstructed from exponentially spaced samples of the signal in the time domain. As an… CONTINUE READING
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