The digital filter forming algorithm enhances the signal-to-noise ratio of nuclear signals, facilitates baseline recovery, and simplifies amplitude extraction, making it popular in digital nuclear spectrometers. This paper presents a bipolar symmetric Gaussian shaping algorithm, designed based on the symmetric zero-area shaping algorithm, which reduces shaping width by 50% through adjustments in delay time, leveraging the symmetric properties of Gaussian-like signals with trigonometric functions. Simulation and measurement results indicate that the bipolar symmetric Gaussian shaping effectively recovers baselines and mitigates the impact of baseline drift across three types (translation, linear growth, and sinusoidal). Additionally, it outperforms symmetric zero-area Gaussian shaping in denoising under the same pulse width and allows for pulse shape identification, indicating strong application potential.