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QUESTION: 1

The signal x(t) = A cos(ωt + φ) is:

Solution:

**All** bounded **periodic signals are power signals**, because they do not converge to a finite value so their **energy** is infinite and their **power** is finite.

QUESTION: 2

What is the total energy of the rectangular pulse shown in figure below?

Solution:

QUESTION: 3

The auto-correlation function R_{x}(τ) satisfies which one of the following properties?

Solution:

QUESTION: 4

The auto-correlation function R_{x}(τ) of the signal x(t) = V sinωt is given by:

Solution:

QUESTION: 5

The sampling of a function f(t) = sin(2πf_{0}t) starts from zero-crossing. The signal can be detected, if sampling time T is:

Solution:

QUESTION: 6

What is the power and energy of the unit step sequence u(n) respectively?

Solution:

QUESTION: 7

Let δ(f) is the delta function the value of integral

Solution:

QUESTION: 8

If a signal f(t) has energy ‘E’ the energy of the signal f(2t) is equal to:

Solution:

and

⇒

QUESTION: 9

Consider the sequence: x[n] = [- 4 - j5, 1 + j2, 4], the conjugate anti-symmetric part of the sequence is:

Solution:

QUESTION: 10

The function x(t) is shown in the figure. Even and odd parts of a unit step function u(t) are respectively:

Solution:

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