N. Aikawa et al., DESIGN OF FINITE IMPULSE-RESPONSE TRANSMITTER AND RECEIVER FILTERS FOR DATA COMMUNICATION-SYSTEM, Electronics and communications in Japan. Part 3, Fundamental electronic science, 79(11), 1996, pp. 25-34
Finite impulse response (FIR) transmitter and receiver filters for dat
a transmission require both frequency domain and time domain approxima
tion simultaneously. Previously, linear programming techniques have be
en used to design such filters; however, those techniques require many
calculations and lengthy computation time. Proposed here is the desig
n method of FIR transmitter and receiver filters for data transmission
that uses the successive projections method. The design method of a m
atched filter pair is first described. It can have maximum signal-to-n
oise ratio (SNR) when Gaussian noise exists on the transmission line a
nd where both the transmitter and receiver filters have the same ampli
tude response. Since the matched filter has double zeros in the stopba
nd, 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.