Question

Consider a signal, y(t) defined as,
(t+2. Osts1
t-1
1st S2
5
2 st 55
3 3
,
0.
otherwise
The
energy of the signal y(t)is E = 3J.
A periodic signal z(t) is defined as,
OSIS6
z(t)=
y(t+6) for all t
The power of w(t) = 32 (21) is,
(a) 1/24 J
(b) 1/8J
(c) 1/16 J
(d) 1/4 J​

Answer 1

Answer:

2.0 INTRODUCTION

The term signal is generally applied to something that conveys information. Signals

may, for example, convey information about the state or behavior of a physical system.

As another class of examples, signals are synthesized for the purpose of communicating

information between humans or between humans and machines. Although signals can

be represented in many ways, in all cases, the information is contained in some pattern

of variations. Signals are represented mathematically as functions of one or more in-

dependent variables. For example, a speech signal is represented mathematically as a

function of time, and a photographic image is represented as a brightness function of

two spatial variables. A common convention—and one that usually will be followed in

this book—is to refer to the independent variable of the mathematical representation

of a signal as time, although in specific examples, the independent variable may not in

fact correspond to time.

The independent variable in the mathematical representation of a signal may be

either continuous or discrete. Continuous-time signals are defined along a continuum of

time and are thus represented by a continuous independent variable. Continuous-time

signals are often referred to as analog signals. Discrete-time signals are defined at discrete

times, and thus, the independent variable has discrete values; that is, discrete-time signals

are represented as sequences of numbers. Signals such as speech or images may have

either a continuous- or a discrete-variable representation, and if certain conditions hold,

these representations are entirely equivalent. Besides the independent variables being

either continuous or discrete, the signal amplitude may be either continuous or discrete.

Digital signals are those for which both time and amplitude are discrete.