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In this paper we present a novel approach to locally compute the Riesz transform from the knowledge of the Radon transform. Previous implementations of the Riesz transform are based on the Fourier or the Radon transforms and their inversion formulae, and therefore needs for the knowledge of the function or its Radon data on the whole domain. More recent attempts on rectangular domains involves convolutions...
In this note, a novel tunable bandpass filter/phase shifter implementation (with a Hilbert transformer as a special case) is proposed. The filter can also be used to synthesize a bandpass analytic signal from a real-valued signal. The novelty is the simple, yet elegant implementation that exploits the even and odd symmetry of the in-phase and quadrature carrier modulation.
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