__JNTUH PREVIOUS ONLINE BITS__**UNIT-I:**

**Signal Analysis and Fourier Series**

__SECTION-I: MULTIPLE CHOICE QUESTIONS__

**1. The differentiation of a unit step signal is? [b]**

**a) Ramp signal b) impulse signal c) exponential signal d)parabolic signal**

**2. If the function x(t) has odd and half wave symmetry, then the Fourier series will have only[a ]**

**a) Odd harmonics of sine terms b) Even harmonics of cosine terms**

**c) Even harmonics of sine terms d) Odd harmonics of cosine terms**

**3. The functions sin nωot, and sin mωot are always [c ]**

**a) Orthogonal b) Parallel c) Inclined d) None**

**4. The sum of discrete exponentials with infinite amplitudes gives. [b ]**

**a) Complex wave b) Periodic wave c) Non periodic wave d) All of the above**

**5.If ‘θ’ is the angle between two vectors then dot product of the two vectors contains the term.**

**[a ]**

**a) cosθ b) sinθ c) tanθ d) secθ**

**6. In a set of signals, if no signal can be represented as a linear combination of the remaining signals, then such signals are [a ]**

**( a ) linearly independent ( b ) linearly dependent ( c ) orthonormal ( d ) orthogonal**

**7. In the trigonometric Fourier series representation of a signal a0 is the [d ]**

**( a ) RMS value ( b ) peak value ( c ) mean square value ( d ) average value**

**8. Graphical representation of a signal in time domain is called___ [b ]**

**a)spectrum b) waveform c) both a&b d) none**

**9. The signal Acos(wt+ø) is a/an______signal [d ]**

**a)periodic b) power c) energy d) both a & b**

**10. The frequency spectrum of a periodic signal is______ [b ]**

**a)continuous b) discrete c) periodic d) non-periodic**

**11. The component of vector v1 on vector v2 if v1·v2= 0 is_____ [c ]**

**a)1 b) ∞ c) 0 d)π**

__SECTION-II: FILL IN THE BLANKS:__
1 . The
sum of two periodic signals will also be periodic if the ratio of their
fundamental periods is a

**number**__rational__
2 .When
the signal exhibits anti symmetry with respect to t=0 it is called

**signal**__odd__
3. When
the sign of t is changed in x(t) the resultant signal is called

__folded__
4.
In
fourier series representation of a signal, if w is the fundamental frequency
then nw are called

**frequencies**__harmonic__
5. Fourier series is very useful for
frequency domain analysis of

**signals**__periodic__
6. The plot of magnitude of Cn with respect to “n”
is called

__magnitude line spectrum__
7. For a signal x(t) the condition to be
satisfied for half wave symmetry is

__X (t+T/2)=-X(t)__
8. For a signal X(t) the condition to be
satisfied for quarter wave symmetry is

**and**__X (t+T/2)=-X(t) & X(-t)=+X(t)___
9. A vector is specified by

__Magnitude & Direction__
10. Periodic signals are called the

__Power Signal__
11. If the Fourier series coefficients of a signal are periodic then the
signal must be

__Discrete-time periodic__
12. The representation of a function x(t) by a set of infinite mutually
orthogonal functions is called

**representation of x(t)**__Fourier series__
13. The Fourier spectrum exists only at

**frequencies**__discrete__
14. A continuous time signal is the one in which the independent
variable is

__continuous__
15. Let two signals f1(t) & f2(t) are orthogonal over the interval
(t1,t2). Magnitude of the component of f1(t) in f2(t) is

__ZERO__
16. Time period (T) of the
periodic signal x(t)=cos2 t + sin5 t is

__2__
17. If x(-t)=x(t), then x(t) is an

**signal.**__even__**Prepared By**

**Arvind chary**