Gaussian pulse shaping is used in digital communication systems like DECT, GSM, WLAN to minimize the out of band spectral energy. The baseband rectangular pulse stream is passed through a filter with a Gaussian impulse response before frequency modulating the carrier. Traditionally this is done by storing the values of the pulse shape in a ROM and converting it to an analog waveform with a DAC followed by a smoothing filter. This paper explores a fully analog implementation of an integrated Gaussian pulse shaper, which can result in a reduced power consumption and chip area.