Quadrature Phase Shift Keying

A Modulation Scheme where the Phase of the modulated signal is shifted depending on the incoming bitstream by an angle of -135°, -45°, +45° or +135°. Thus 4 states (a two-digit binary symbol) can get expressed in every transition:

The resulting waveform looks like if it would be assembled of several sine wave segments from 4 phase-shifted base sine signals.

In order to minimize the used Bandwidth allocated on the Transponder the outgoing signal is usually filtered using digital low-pass FIR Filters with smooth roll-off so that the high-order noise of the sudden state changes gets removed.

here we may show the smoothed version of the sine sigal with shifted phase. Maybe also the spectrum diagrams?

Has anybody the standard number of the paper that specifies usage of QPSK in DVB-S handy? Any more useful information in there?

a few words about allocated bandwidth and noise sensitivity of QPSK modulated signals would be great.