December 2005
Intermediate to advanced
475 pages
12h 6m
English
Content preview from Signals and Systems
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7.5 IMPORTANT PROPERTIES OF SYSTEMS
Figure 7.8 shows the two LTI systems having common input x(n). Their outputs are y1(n) and y2(n) respectively which are added to get the net output y(n). The systems are in parallel mode.
Fig. 7.8 Replacement of parallel systems
y(n) = x(n)*h1(n) + x(n) *h2(n) = x(n)*[h1(n) + h2(n)]
Therefore, the parallel system can be replaced by a single system with impulse response [h1(n) + h2(n)].
Figure 7.9 shows the two systems which are in cascade i.e., in series.
Fig. 7.9 Replacement of cascade systems ...
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