Linear phase matched filter design with causal real symmetric impulse response

Linear phase matched filter design for pulse transmission without Intersymbol Interference is presented. The delayed time-domain raised-cosine pulse is considered for the output of the shaping filter at the transmitter. To approximate the transmit filter, a linear phase denominator polynomial is used, and transmission zero pairs are placed on the jωjω-axis in accordance with the attenuation response of the time-domain raised-cosine pulse. The combination of even symmetry of the time response, and jωjω-axis transmission zero pairs leads to a linear phase pulse shaping filter which is its own match. The maximum number of finite transmission zero pairs for zero pulse amplitude at t=0t=0 is derived. The generated pulse is time-limited and has negligible energy outside the main lobe, and better performance in the presence of jitter than the standard raised-cosine spectrum pulse. The received pulse is time-limited and band-limited.