Name of the College : DMI College OF Engineering
Department : Electrical And Electronics Engineering
Subject Code/ Name : EC2314 – Digital Signal Processing
Degree : B.E
Sem : III/V
Website : dmice.ac.in
Document Type : Question Bank
Digital Signal Processing : https://www.pdfquestion.in/uploads/dmice.ac.in/1634-EC2314.docx
DMI Digital Signal Processing Question Bank
Part A Questions :
UNIT – I
** What is an LTI system
** What is meant by aliasing effect?
Related : DMI College OF Engineering EE6301 Digital Logic Circuits B.E Question Bank : www.pdfquestion.in/1617.html
** What are the classification of signal
** List the types of ADC
** Define the impulse & Unit step signal
** Differentiate between energy & Power signal
** Perform Addition, Subtraction, Multiplication, Division of the Discrete time Signal (n)= {2, 2, 1, 2} & (n) = {-2,-1, 3, 2}
** Define Quantization ,Quantization Error
** Define Sampling,Sampling Rate,Sampling Time,Coding
** What are the three process involved in A/D conversion?
** Define Nyquist Rate
** Given a continuous time signal x(t)=2cos500?t. What is the Nyquist rate and fundamental frequency?
** Determine whether x(n)=u(n) is a power signal or an energy signal
** Check whether the system is linear or not y(n)=x3(n)
** Check whether the system is Stable or not y(n)=cosx(n)
** Given a continuous time signal x(t)=2cos500?t. What is the Nyquist rate and fundamental frequency?
** State Shannon’s sampling theorem.
** Give the classification of signals?
** What are the types of systems?
** What are even and odd signals?
** What are elementary signals and name them?
** What is a continuous and discrete time signal?
** What is the necessary and sufficient condition for stability?
Part B Questions
1. Describe in detail the process of sampling and Quantization. Also determine the Expression for quantization liner
2. whether the following are periodic
i) x (n)= cos(3?n)
ii) x (n)=sin(3n)
3. A discrete time systems can be
(i) Static or dynamic
(ii) Linear or non linear
(iii) Time invariant or time varying
(iv) Stable or unstable
Examine the following systems with respect to the properties above
y (n)=x(n) + nx(n+1)
y(n) = cosx(n)
4. What is meant by energy and power signal? Determine whether the following
Signals are energy or power or neither energy nor power signals.
5. What is meant by sampling? Explain sampling theorem.
6. Explain the digital signal processing system with necessary sketches and give its merits and demerits.
7. Check the causality and stability of the systems y(n) = x(- n) + x(n-2) +x(2n-1)
8. Check the system for linearity and time invariance y(n) = (n-1)x2(n) +C
9. Check for following systems are linear,causal,time in variant,stable,static
i) y(n)= sin(x(n))
ii) y(n)= x(n)cos(x(n))
10. What is causality and stability of a system? Derive the necessary and sufficient Condition on the impulse response of the system for causality and stability.
11. Starting from first principles, state and explain sampling theorem both in time domain and in frequency domain.
12. A discrete time systems can be
(i) Static or dynamic
(ii) Linear or non linear
(iii) Time invariant or time varying
(iv) Stable or unstable Examine the following systems with respect to the properties above
i) y(n)=cos[x(n)]
ii) y(n)=x(-n+2)
iii) y(n)=x(2n)
13. Determine whether or not each of the following signals is periodic. In case a signal is periodic, specify its fundamental period.
i) cos0.01?n ii) coscos3?n iii) sin3n iv) sin(
14. Describe in detail the process of Quantization.
15. Determine whether the following system are linear, time-invariant
i)y(n) = Ax(n) +B
ii)y(n) =x(2n)
iii)y(n) =n x2 (n)
iv)y(n) = a x(n)
UNIT – II
Part A Questions :
** Given a difference equation y(n)=x(n) + 3x(n-1)+2y(n-1).Determine the system function H(Z).
** Find the convolution for x(n)={0,1,0,2} and h(n)={2,0,1}
** What is ROC of Z transform? State its properties.
** Define discrete time fourier transform pair for a discrete sequence.
** Give the nth order difference equation.
** Write the expression for x(n)*h(n)
** Obtain the discrete Fourier series coefficients of x(n)=cos?n
** What is the relation between DFT and Z-transform
** Find the Z-transform of (a) A discrete impulse (b) A discrete step
** What is the relation between Fourier Transform and Z-transform
** State and prove convolution property of Z transform
** State initial value and final value theorem of Z transform
** State Parseval theorem of Z transform
** Determine Z transform of the sequence x(n) = {2,1,-1,0,3}
** Find the convolution of the following using Z-transform. x1(n)={1,2,1}; x2(n)={1,1,1}
** Distinguish between Linear and Circular convolution of the two sequence
** Find the Z-transform and ROC of the given sequence x(n)={2,-1,3,2,1,0,2,3,-1}.
** Define Z Transform Pair
** What are the different methods of evaluating inverse z transform?
** Define discrete fourier series.
** Define system function
** Determine the convolution sum of two sequences x(n) = {3, 2, 1, 2} and h(n) = {1, 2, 1, 2}
** Give any two properties of linear convolution.
Part B Questions :
1. Determine the causal signal x (n) whose Z-transform is given by
2. Determine the Z-transform of the signal x(n)= (cos?0n) u (n)
3. The impulse response of a time invariant system is h(n)={1,2,1,-1} and ? X (n) = {1, 2, 3, 1}.Find out the response of the system by using i) linear? Convolution ii) Circular convolution iii) linear with Circular convolution.
4. Determine the impulse response for the difference equation y(n)+3y(n-1)+2y(n-2)=2x(n)-x(n-1)
5. Find the inverse Z transform of X (z) =
6. Determine the system function and the unit sample response of the system described by the difference equation y(n)+ y(n-1)+2x(n).
7. Determine the step response of the system y(n)-ay(n-1)+x(n), -1< a > 1,when the initial condition is y(-1)=1
8. Find the Circular convolution of the two sequences x(n)={2,4,0,2}, h(n)={4,4,2,2}
9. Determine the Z-transform of the signal x(n)= (sin?0n) u (n)
10. Using Z-transform determine the response y(n) for n=0 if y(n)= y(n-1)+x(n) , x(n)= u(n)y(-1)=1