The RADAR which has the ability to detect objects within a long range is called Range Detection and to distinguish between two closely spaced targets is called Range Resolution. By using short duration pulses the Range Resolution can be enhanced and results in less Range Detection. In order to overcome this Pulse Compression techniques have been used and Linear Frequency Modulated signal is used for this. The multichannel Pulse Compression system is realized by using all Digital method and the FIR filters are used to design this which can be re-used in different periods of Digital Pulse Compression.