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Binary Phase Shift Keying (BPSK) Lecture Notes 6: Basic ...

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Lecture Notes 6: Basic Modulation SchemesIn this Lecture we examine a number of different simple modulation schemes. We examine theimplementation of the optimumreceiver, the error probabilityand the wouldlike the simplest possible receiver, withthe lowest error probabilityand smallestbandwidthfor a given data Binary Phase Shift Keying (BPSK) The first modulation considered is Binary Phase Shift Keying . In this scheme during every bitduration, denoted byT, one of two phases of the carrier is transmitted. These two phases are180 degrees apart. This makes these two waveforms antipodal. Any Binary modulation wherethe two signals are antipodal gives the minimumerror probability(for fixed energy) over anyother set of Binary signals. The error probabilitycan onlybe made smaller (for fixed energyper bit)by allowing more than two waveforms for transmitting BPSKModulator b t 2Pcos 2 fct Modulator s t n t r t Figure 33: Modulator for BPSKTo mathematicallydescribed the transmitted signal we define a pulse functionpT t aspT t 1 0 t T0 otherwise.

Binary Phase Shift Keying (BPSK) The first modulation considered is binary phase shift keying. In this scheme during every bit duration, denoted by T, one of two phases of the carrier is transmitted. These two phases are 180 degrees apart. This makes these two waveforms antipodal. Any binary modulation where

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