15.3 DIGITAL COMMUNICATION SYSTEMS 717
Analog
message f(t)
Band-limited message
Presampling
lowpass
filter
Sampler
A
Compressor
(optional)
Uniform
quantizer
Waveform
formatter
Binary PCM
to channel
Binary
encoder
Timing
control
Quantized
samples
Figure 15.3.6Block diagram of a PCM system transmitter.
PCM plus
broad-band
channel noise
Original PCM plus errors Quantized samples plus noise
Expandor
(optional)
PCM
reconstruction
Binary
decoder
f(t) plus noise
Timing
Message
reconstruction
(low pass filter)
Figure 15.3.7Block diagram of a PCM system receiver.
pulses of amplitudeAare 0 andA, whereas those associated with polar pulses (of amplitudes±A)
areAand−A. It is, of course, better for the receiver if the ratio of the pulse-caused voltage to the
noise rms voltage is the largest possible at the time of measurement. Figure 15.3.8 shows PCM
reconstruction circuits for unipolar, polar, and Manchester waveforms. The following notation is
used:
- VT: Preset threshold, which is zero for polar and Manchester PCM. In the unipolar system,
it is equal to half the signal component of the integrator’s output level(A^2 Tb/ 2 )at the
sampling time when the input has a binary 1. (After the sample is taken, the integrator is
discharged to0Vinpreparation for integration over the next bit interval.) - D: The difference between the integrator’s output andVTat the end of each bit interval of
durationTb.IfD≥0, binary 1 is declared; ifD<0,a0isdeclared. - Square-wave clock: Generates a voltageAfor 0<t<Tb/2 and−AforTb/ 2 <t<Tb,
with its fundamental frequency 1/TbHz. The product of the clock and the incoming