Font size
WorksheetsEC8553_DTSP_QB_Part-A
Total questions: 100
Worksheet time: 1hrs 27mins
DFT is applied to
Infinite sequences
Finite discrete sequences
Continuous infinite signals
Continuous finite sequences
If X(k) is the N point DFT of a sequence whose Fourier series coefficients is given by ck, then which of the following is true?
X(k)=N.ck
X(k)=ck/N
X(k)=N/ck
None of the above
If W4100 = Wx200 then what is the value of x?
2
4
8
16
As compared to the analog systems, the digital processing of signals allow
1) Programmable operations
2) Flexibility in the system design
3) Cheaper systems
4) More reliability
1, 2 and 3 are correct
1 and 2 are correct
1, 2 and 4 are correct
All the four are correct
The Nyquist theorem for sampling
1) Relates the conditions in time domain and frequency domain
2) Helps in quantization
3) Limits the bandwidth requirement
4) Gives the spectrum of the signal
1, 2 and 3 are correct
1 and 2 are correct
1 and 3 are correct
All the four are correct
DTFT is the representation of
Periodic Discrete time signals
Aperiodic Discrete time signals
Aperiodic continuous signals
Periodic continuous signals
The DFT is preferred for
1) Its ability to determine the frequency component of the signal
2) Removal of noise
3) Filter design
4) Quantization of signal
1, 2 and 3 are correct
1 and 2 are correct
1 and 3 are correct
All the four are correct
Frequency selectivity characteristics of DFT refers to
Ability to resolve different frequency components from input signal
Ability to translate into frequency domain
Ability to convert into discrete signal
None of the above
The transformations are required for
1) Analysis in time or frequency domain
2) Quantization
3) Easier operations
4) Modulation
1, 2 and 3 are correct
1 and 2 are correct
1 and 3 are correct
All the four are correct
The interface between an analog signal and a digital processor is
D/A converter
A/D converter
Modulator
Demodulator
The basic properties of DFT includes
1) Linearity
2) Periodicity
3) Circular symmetry
4) Summation
1, 2 and 3 are correct
1, 2 and 4 are correct
1 and 3 are correct
All the four are correct
The circular convolution of two sequences in time domain is equivalent to
Multiplication of DFTs of two sequences
Summation of DFTs of two sequences
Difference of DFTs of two sequences
Square of multiplication of DFTs of two sequences
In Overlap save method of long sequence filtering, what is the length of the input sequence block?
L+M+1
L+M
L+M-1
None of the mentioned
How many complex multiplications are need to be performed for each FFT algorithm?
(N/2).log N
N.log2N
(N/2).log2N
None of the mentioned
The following butterfly diagram is used in the computation of __________
Decimation-in-time FFT
Decimation-in-frequency FFT
Both
None of the mentioned
For a decimation-in-time FFT algorithm, which of the following is true?
Both input and output are in order
Both input and output are shuffled
Input is shuffled and output is in order
Input is in order and output is shuffled
FFT may be used to calculate
1) DFT
2) IDFT
3) Direct Z transform
4) In direct Z transform
1, 2 and 3 are correct
1 and 2 are correct
1 and 3 are correct
All the four are correct
DIT algorithm divides the sequence into
Positive and negative values
Even and odd samples
Upper higher and lower spectrum
Small and large samples
Circular shift of an N point is equivalent to
Circular shift of its periodic extension and its vice versa
Linear shift of its periodic extension and its vice versa
Circular shift of its aperiodic extension and its vice versa
Linear shift of its aperiodic extension and its vice versa
The first six points of the 8-point DFT of a real valued sequence are 5, 1 −
𝑗3, 0, 3 − 4𝑗, and 3 + 𝑗4. The last two points of the FFT outputs are respectively
0, 1 − 𝑗3
0, 1 + 𝑗3
1 + 𝑗3, 5
1 − 𝑗3, 5
What is the order of the normalized low pass Butterworth filter used to design a analog band pass filter with -3.0103dB upper and lower cutoff frequency of 50Hz and 20KHz and a stop band attenuation -20dB at 20Hz and 45KHz?
2
3
4
5
The chebyshev-I filter is equi-ripple in pass band and monotonic in the stop band.
True
False
What is the number of minima’s present in the pass band of magnitude frequency response of a low pass chebyshev-I filter of order 4?
1
2
3
4
The poles of Chebyshev filters are found to lie on ___________
Circle
Ellipse
Parabola
Hyperbola
Which of the following rule is used in the bilinear transformation?
Simpson’s rule
Forward difference
Trapezoidal rule
Backward difference
If s=σ+jΩ and z=rejω, then what is the condition on σ if r<1?
σ > 0
σ < 0
σ > 1
σ < 1
If s=σ+jΩ and z=rejω and r=1, then which of the following inference is correct?
Imaginary axis in the s-plane is mapped to the circle, |z|=1
RHS of the s-plane is mapped outside the circle, |z|=1
LHS of the s-plane is mapped inside the circle, |z|=1
None of the mentioned
What is the kind of relationship between Ω and ω?
Many-to-one
One-to-many
One-to-one
Many-to-many
Which of the following filters cannot be designed using impulse invariance method?
Low pass
High pass
Low and band pass
Band pass
Low pass Butterworth filters are also called as _____________
All-zero filter
All-pole filter
Pole-zero filter
None of the mentioned
Type-2 chebyshev filters consists of ______________
Only poles
Only zeros
Both poles and zeros
Cannot be determined
Which of the following is true in the case of Butterworth filters?
Wide transition band
Smooth pass band
All of the mentioned
Filter parameter optimization technique is used for designing of which of the following?
IIR in frequency domain
FIR in time domain
FIR in frequency domain
IIR in time domain
The IIR filter designing involves
Designing of analog filter in analog domain and transforming into digital domain
Designing of analog filter in digital domain and transforming into analog domain
Designing of digital filter in analog domain and transforming into digital domain
Designing of digital filter in digital domain and transforming into analog domain
Which of the following is the correct expression for transition band Δf?
(ωp– ωs)/2π
(ωp+ωs)/2π
(ωp.ωs)/2π
(ωs– ωp)/2π
Computation of the analog frequency Ω from the digital frequency ω using the frequency warping formula so that
the frequency-distortion in bilinear transformation is compensated
Spectral factorization
Zero-phase filtering
Prewarping
all of the above
Canonical structure is a structure that is implemented using the minimum possible number of delay elements. __________________is a canonical structure.
Direct form I
Direct form II
Both Direct form I & Direct form II
None of these
Computation of the analog frequency Ω from the digital frequency ω using the frequency warping formula so that
the frequency-distortion in bilinear transformation is compensated
Spectral factorization
Zero-phase filtering
Prewarping
all of the above
The bilinear transformation is an invertible nonlinear mapping between the s-plane and the z-plane defined by
s=Td 2(1+z11−z−1)
s=Td 2(1+z−11−z−1)
s=Td 2(1+z−11−z1)
s=Td 2(1−z−11+z−1)
The Bilinear Transformation maps the left half of an s-plane to the__________ unit circle of the z-plane
inside
outside
imaginary axis of
centre of the
Min. Stopband attenuation of Hamming window
52
53
54
50
The window function
0.54−0.46 cos (M−12πn) representBlackman
Hamming
Hanning
Bartlett (triangular)
Hanning window function can be expressed as
WHann(n)=0.5(1−cos (M−12πn))
WHann(n)=0.5(1+cos (M−12πn))
WHann(n)=0.5(1−2cos (M−12πn))
WHann(n)=0.5(1+2cos (M−12πn))
An FIR filter of length M having the unit sample response h(n)=π (n−2(M−1 ))(sin ω c(n−2(M−1))), n=2(M−1) if M is selected to be odd, the value of h(n) at n=2 (M−1) is
h(2M−1)=πωc
h(2M−1)=2πωc
h(2M−1)=2ωc
h(2M−1)=π2 ωc
The Fourier Transform of the Rectangular window is
WR(ω )=e−(jω 2(M−1)) (sin(2ω)sin(2ωM)) , the the Magnitude response is∣WR(ω)∣=∣∣sin(2ω)∣∣∣∣sin(2ωM)∣∣, −π≤ω≤π
∣WR(ω)∣=∣∣sin(2ω)∣∣∣∣sin(2ωM)∣∣, π≤2ω≤π
∣WR(ω)∣=∣∣sin(2ω)∣∣2∣∣sin(2ωM)∣∣, −π≤ω≤π
∣WR(ω)∣=2x∣∣sin(2ω)∣∣∣∣sin(2ωM)∣∣, −π≤ω≤π
Window function is used to alleviate the presence of large oscillations in
the passband
both the passband and the stopband
the stopband
None of these
Which of the following condition should the unit sample response of a FIR filter satisfy to have a linear phase?
h(M-1-n)
n=0,1,2…M-1
±h(M-1-n)
n=0,1,2…M-1
-h(M-1-n)
n=0,1,2…M-1
None of the Above
The roots of the polynomial H(z) are identical to the roots of the polynomial H(z-1).
TRUE
FALSE
What is the value of h(M-1/2) if the unit sample response is anti-symmetric?
0
1
-1
0.5
What is the number of filter coefficients that specify the frequency response for
h(n) symmetric?
(M-1)/2
when M is odd and M/2 when M is even
(M-1)/2
when M is even and M/2 when M is odd
(M+1)/2
when M is even and M/2 when M is odd
(M+1)/2
when M is odd and M/2 when M is even
Which of
the following is not suitable either as low pass or a high pass filter?
h(n)
symmetric and M odd
h(n)
symmetric and M even
h(n)
anti-symmetric and M odd
h(n)
anti-symmetric and M even
How is the frequency response of an ideal differentiator related to the frequency?
Inversely proportional
Linearly proportional
Quadratic
None of the mentioned
If hd(n) is the unit sample response of an ideal differentiator, then what is the value of hd(0)?
1
-1
0
2
Consider the assertions given below. Which among them is an advantage of FIR Filter?
Presence of linear phase response
Necessity of computational techniques for filter implementation
Requirement of large storage
Incapability of simulating prototype analog filters
Which of the following is the condition that an differentiator should satisfy?
Infinite response at zero frequency
Finite response at zero frequency
Negative response at zero frequency
Zero response at zero frequency
For a linear phase filter, if Z is zero then what would be the value of Z-1 or 1/ Z?
Unity
Zero
Infinity
Unpredictable
Which of the following is an method for implementing an FIR system?
Direct form
Cascade form
Lattice structure
All of the mentioned
The realization of FIR filter by frequency sampling realization can be viewed as cascade of how many filters?
Two
Three
Four
None of the mentioned
Which of the following filters have a cascade realization as shown below?
IIR filter
Comb filter
High pass filter
FIR filter
For the IIR filter, M and N respectively the order of numerator and denominator of the system function, then the number of multiplications required in direct form-I realization is.
M+N-1
M+N
M+N+1
M+N+2
List the important finite word length effects in digital filter implementation.
What are the two methods of quantization?
What are the two methods of quantization?
What is meant truncation error?
What is meant rounding error?
An effective remedy for curing the problem of overflow oscillations is to modify the adder characteristic.
True
False
The limit cycle mode with zero input, which occurs as a result of rounding the multiplications, corresponds to an equivalent second order system with poles at z=±1.
True
False
Which of the following should be done in order to convert a continuous-time signal to a discrete-time signal?
Sampling
Differentiating
Integrating
None of the mentioned
The process of converting discrete-time continuous valued signal into discrete-time discrete valued (digital) signal is known as ____________
Sampling
Quantization
Coding
None of the mentioned
Which of the following is a digital-to-analog conversion process?
Staircase approximation
Linear interpolation
Quadratic interpolation
All of the mentioned
If ‘F’ is the frequency of the analog signal, then what is the minimum sampling rate required to avoid aliasing?
F
2F
3F
4F
The quality of output signal from A/D converter is measured in terms of ___________
Quantization error
Quantization to signal noise ratio
Signal to quantization noise ratio
Conversion constant
Which bit coder is required to code a signal with 16 levels?
8 bit
4 bit
2 bit
1 bit
Find the data acquisition time for a setup of block size, BS=8192 samples and sampling frequency, SR=2048 samples/sec
1 sec
2 sec
4 sec
8 sec
What is the dead band of a single pole filter with a pole at 3/4 and represented by 4 bits?
(-1/2,1/2)
(-1/8,1/8)
(-1/4,1/4)
(-1/16,1/16)
In the equation
SQNR = 6.02b + 16.81 – 20log10σxR for R = 6σx the equation becomes?
SQNR = 6.02b-1.25 dB
SQNR = 6.87b-1.55 dB
SQNR = 6.02b+1.25 dB
SQNR = 6.87b+1.25 dB
In DSP Processor, what kind of queuing is undertaken/executed through instruction register and instruction cache?
Implicate
Explicate
Both a and b
None of the above
In DSP processors, which among the following maintains the track of addresses of input data as well as the coefficients stored in data and program memories?
Data Address Generators (DAGs)
Program sequences
Barrel Shifter
MAC
Which units are generally involved in Multiply and Accumulate (MAC)?
Adder
Multiplier
Accumulator
All of the above
As compared to the analog systems, the digital processing of signals allow
1) Programmable operations
2) Flexibility in the system design
3) Cheaper systems
4) More reliability
1, 2 and 3 are correct
1 and 2 are correct
1, 2 and 4 are correct
All the four are correct
The speech signal is obtained after
Analog to digital conversion
Digital to analog conversion
Modulation
Quantization
The interface between an analog signal and a digital processor is
D/A converter
A/D converter
Modulator
Demodulator
A single-precision floating-point number represented
within a 32-bit register has _______ bit exponent and _____bit fraction.
8, 23
11, 52
64, 52
32, 23
The CPU of TMS320C67x has
6 functional units, 2 register files, 4 datapaths
8 functional units, 2 register files, 2 datapaths
6 functional units, 4 register files, 4 datapaths
8 functional units, 4 register files, 2 datapaths
The instruction, Add #45,R1 does
Adds the value of 45 to the address of R1 and stores 45 in that address
Adds 45 to the value of R1 and stores it in R1
Finds the memory location 45 and adds that content to that of R1
None of the mentioned
In C6X processor, which external device/s get/s acquire/s an interface support by EMIF peripheral?
Synchronous burst
Asynchronous devices
Externally shared memory devices
All of the above
In TMS 320 C6x processor architecture, which operation/s is/are performed by 'M' functional unit?
Bit expansion
Bit interleaving & deinterleaving
Rotation & Variable shifting
All of the above
DSP applications
Wireless communication
RADAR
Medical
none of the above
all the above
DSP algorithms
Speech synthesis
Motion estimation
Noise cancellation
All the above
