Introduction to Digital Signal and System Analysis - Tutorsindia

Introduction to Digital Signal and System Analysis
Time-domain Analysis
3 Time-domain Analysis
3.1 Linear time-invariant (LTI) systems
A digital system is also refereed as a digital processor, which is capable of carrying out a DSP function or operation. The
digital system takes variety of forms, such as a microprocessor, a programmed general-purpose computer, a part of digital
device or a piece of computing software.
Among digital systems, linear time-invariant (LTI) systems are basic and common. For those reasons, it will be restricted
to address about only the LTI systems in this whole book.
The linearity is an important and realistic assumption in dealing with a large number of digital systems, which satisfies
the following relationships between input and output described by Figure 3.1. i.e. a single input x [ ] produces a single
output y 1[
n ], Applying sum of inputs x n]
+ x [ ] produces y n]
+ y [ ] , and applying input ax n]
+ bx [ ]
generates ay n]
+ by [ ] .
1[ 2
n
1[ 2
n
1[ 2
n
1 n
1[ 2
n
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