Regardless of the type of waveforms implemented by a radar, using a matched filterrnat the receiver yields the maximum signal to noise ratio (SNR). Unfortunately, when onernapplies matched filtering technique in filtering chirp waveforms, it produces unwantedrnsidelobes at the output of the receiver. In this case it is difficult to pinpoint whetherrnthe radar signal is coming from the main peaks or from the sidelobes. This can be arnmajor problem especially when main scatterer lies at the sidelobes. In other words, therernwill be ambiguity in the measurements. Here we present a new method of filtering chirprnwaveforms that suppresses the unwanted sidelobes. The method is developed based on anrnearlier work that has been applied to solve a similar problem created in filtering binaryrnphase coded waveforms by means of matched filter [2]. Abiyu Zerfu: June, 2005, AddisrnAbaba