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This invention discloses a horizontally symmetry-axis-weighted interdigitated surface acoustic wave (SAW) Morlet wavelet processor and processing system, belonging to the technical field of SAW wavelet transform processors. The SAW Morlet wavelet processor includes a piezoelectric substrate and transmitting and receiving transducers integrated at both ends of the piezoelectric substrate. The transmitting transducer converts the received input signal into a SAW wavelet transform signal propagating along the surface of the piezoelectric substrate. The receiving transducer receives the SAW wavelet transform signal and converts it into an electrical wavelet transform signal for output. The length of the horizontal symmetry axis of each interdigitator is proportional to the envelope amplitude of the Morlet binary wavelet function, and the acoustic aperture is greater than or equal to the wavelength of the SAW wave. This invention can efficiently suppress diffraction phenomena, achieving a comprehensive performance improvement and providing strong support for technological upgrading and innovative development in various fields.