Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem

The Hilbert transform is a commonly used linear operator that separates the real and imaginary parts of an analytic signal employed in various fields, such as filter design, processing, communication theory. However, it falls short representing signals generalized domains. To address this limitation, we propose novel integral transform, coined quadratic-phase transform. preliminary study encompasses formulation all fundamental properties Additionally, examine relationship between Fourier proposed delve into convolution theorem for Bedrosian associated with explored detail. validity accuracy obtained results were verified through simulations.