INDEX 
Laplace transform, approximation 
using 2 forms, 295-301 
of impulse sequence, 23-26 
inverse (see Inverse Laplace trans- 
form) 
Minimal prototype response functions, 
148-153 
requirements for, 148 
table of, 151 
Minimum prototype response func- 
tions, 162 
Miscellaneous applications of sampled- 
data theory, 10-11, 282-312 
Modified z transforms (see z transform, 
advanced) 
Multirate digital controller, design of, 
basic requirements for, 235-238 
using single-rate techniques, 244— 
248 
properties of, 232 
pulse transfer function of, 234 
synthesis of, 232-234 
Multirate sampled-data systems, 9, 
220-249 
analysis by phantom output sam- 
pling, 227-229 
closed-loop systems, 229-232 
fast input, slow output sampling, 
222-229 
open-loop, 221-229 
pulse transfer function of, 222 
slow input, fast output sampling, 
221-222 
switch decomposition technique, 
223-226 
Multirate sampling, applied to com- 
putation of ripple, 202-206 
of feedback systems, 205-206 
of open-loop systems, 202-205 
Numerical integration process, pulse 
transfer function of, 73-75, 305 
Open-loop sampled-data systems (see 
Sampled-data systems) 
329 
Partial-fraction technique for deter- 
mination of ripple, 206-212 
Partial-velocity first-order data hold, 
40-42 
frequency response of, 41-42 
transfer function of, 40—41 
Phase shift, of first-order data hold, 38— 
39 
of zero-order data hold, 36 
Poisson summation rule, 25 
applied to evaluation of infinite 
series, 308-311 
Polygonal data hold (see Data hold) 
Polynomial extrapolation, 31-34 
Polynomial extrapolators, 43-49 
Porter-Stoneman extrapolator, 44-49 
Pulse transfer function, 8-9, 66-77, 
139-148 
of digital system, 70-75 
implementation of, 75-77 
by pulsed networks, 139-143 
of pulsed continuous system, 68-69 
Pulse transfer locus, use of, to deter- 
mine stability, 100-105 
Pulsed networks, for compensation of 
sampled-data systems, 136-143 
phase lag, 137 
phase lead, 137 
synthesis of pulse transfer function, 
139-143 
Pulsed transfer function (see Pulse 
transfer function) 
Radar, scanning search, 3 
Random signals, autocorrelation func- 
tion, 251-254 
cross-correlation function, 252-253 
expected value, 251 
first-order probability density func- 
tion, 250-251 
mean-square value, 251 
power spectrum of, 259-267 
sampled (see Sampled random sig- 
nals) 
in sampled-data systems, 261—267 
