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 j omega-axis in accordance with the attenuation response of the time-domain raised-cosine pulse. The combination of even symmetry of the time response, and j omega-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 = 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. (C) 2007 Elsevier GmbH. All rights reserved.