Single-input single-output transceiver optimization - Signal Processing and Optimization for Transceiver Systems - page 340

H ( j ω )

eff

(a)

ω

2 3 4

1

ω s − ω s ω s σ −2

ω s

0

2

dominant part of H ( j ω)
eff

(b)

ω

0

ω s

ω s

H ( j ω )

c

T

(c)

ω

0

G ( j ω ) , F ( j ω )

(d)

magnitudes

ω

0

Figure 10.2 . Example of construction of an optimum compaction filter. (a)
Shape of the effective channel, (b) dominant aliasfree( T ) band of the channel, (c)
the optimum compaction filter, and (d) magnitudes of optimal pre- and postfilters
(up to scale) assuming S qq ( jω ) is constant.

H ( j ω)
eff

(a)

ω

ω s

ω s − ω s

0

ω s −2

2

dominant part of H ( j ω )

eff

(b)

ω

ω s

− ω s

0

H ( j ω)
c

(c)

T

ω

0

Figure 10.3 . Example of construction of an optimum compaction filter with real
impulse response. (a) Shape of the effective channel, (b) dominant alias-free( T )
band of the channel, and (c) the optimum compaction filter.