Pulse shaping filters Pulse shaping

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1 pulse shaping filters

1.1 sinc filter
1.2 raised-cosine filter
1.3 gaussian filter





pulse shaping filters

a typical nrz coded signal implicitly filtered sinc filter.


not every filter can used pulse shaping filter. filter must not introduce intersymbol interference — needs satisfy criteria. nyquist isi criterion commonly used criterion evaluation, because relates frequency spectrum of transmitter signal intersymbol interference.


examples of pulse shaping filters commonly found in communication systems are:



sinc shaped filter
raised-cosine filter
gaussian filter

sender side pulse shaping combined receiver side matched filter achieve optimum tolerance noise in system. in case pulse shaping equally distributed between sender , receiver filters. filters amplitude responses pointwise square roots of system filters.


other approaches eliminate complex pulse shaping filters have been invented. in ofdm, carriers modulated each carrier virtually unaffected bandwidth limitation of channel.


sinc filter


amplitude response of raised-cosine filter various roll-off factors


it called boxcar filter frequency domain equivalent rectangular shape. theoretically best pulse shaping filter sinc filter, cannot implemented precisely. non-causal filter relatively decaying tails. problematic synchronisation point of view phase error results in steeply increasing intersymbol interference.


raised-cosine filter

raised-cosine filters practical implement , in wide use. have configurable excess bandwidth, communication systems can choose trade off between simpler filter , spectral efficiency.


gaussian filter

this gives output pulse shaped gaussian function.







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