Design of finite impulse response transmitter and receiver filters for data communication system

Naoyuki Aikawa, Hitoshi Isomura, Tsuyoshi Ishikawa · Electronics and Communications in Japan (Part III Fundamental Electronic Science) · 1996

Abstract Finite impulse response (FIR) transmitter and receiver filters for data transmission require both frequency domain and time domain approximation simultaneously. Previously, linear programming techniques have been used to design such filters; however, those techniques require many calculations and lengthy computation time. Proposed here is the design method of FIR transmitter and receiver filters for data transmission that uses the successive projections method. The design method of a matched filter pair is first described. It can have maximum signal‐to‐noise ratio (SNR) when Gaussian noise exists on the transmission line and where both the transmitter and receiver filters have the same amplitude response. Since the matched filter has double zeros in the stopband, it can also be used to derive the transfer function of a bandpass minimum phase filter. Then, the value of zero in the sampling interval is chosen such that total impulse response of the matched filter pair has zero intersymbol interference. A design method with constraint in time domain is thus described.

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