SRM University 2007 B.Tech Electronics and Communications Engineering BANK : EC303 – DIGITAL SIGNAL PROCESSING - Question Paper
Wednesday, 30 January 2013 06:50Web
Page 3 of 9
83. Compute the DFT of x (n) = ? (n – n0)
84. What do you understand by the terms signal, signal processing & system.
85. Determine whether the subsequent system is time invariant of time variant
(1). y (n) = x (n) + x (n-1) (2). y (n) = x (-n).
86. Determine whether the system defined by the subsequent equations are causal or non causal
(1). y (n) = x (n) + 1/ x (n-1) (2). y (n) = x (n2).
87. Determine whether the system defined by the subsequent input-output equations are linear or non linear y (n) = x2 (n).
88. Define DTFT.
89. Test whether the subsequent systems are causal or not
1) y(n) = ? x(k) 2) y(n) = x(2n)
90. Define the z- transform.
91. What is meant by Region of convergence?
92. Find the z – transform of the causal sequence x (n) = {1, 0, 3, -1, 2}
93. Find the z – transform of the sequence x (n)= {-3, -2, -1, 0, 1}.
94. Find the z – transform of the sequence x (n) ={2, -1, 3, 2, 1, 0, 2, 3, -1}.
95. Determine the z – transform and ROC of the signal x (n) = an u(n).
96. Determine the z – transform and ROC of the signal x (n) = - bn u(-n-1).
97. Find the circular convolution of 2 sequences {1, 2, 2, 1}; {1, 2, 3, 1}.
98. Determine whether the subsequent signals are periodic 1). x(n) = ej three ? n
(2). x (n) = cos (2?n/3).
99. Check for causality . y (n) = x (n) + three x (n+4).
100. Check for linearity y (n) = x2 (n).
101. Test stability of the system 1). y (n) = x (n2) 2). y (n) = n x (n).
102. Draw the block diagram of the system defined by y (n) = a y (n-1) +
x(n) – two x (n-2).
103. Determine the response of the system characterized by
h (n) = (1/2)n (n); x (n) = 2n u(n).
104. Find y (n) if x (n) = n +2; n = 0, 1, 2, 3. & h (n) = an u (n).
105. Determine the DFT of the sequence
h(n) = {1/4 ; for 0 ? n ? 2
0 ; otherwise
106. Find the N-point DFT for x (n) = an for 0
108. Compute cos (n?/2), where N = four using DIF – FFT algorithm.
PART-B
1. Determine the values of energy and power of the signals.
a) x(n)= sin (pn / 4) b) x(n)= e2n u(n)
2. Calculate the DFT of (1/4)n , for N=8.
3. Perform the linear convolution for x(n)={1,3,1,3};h(n)={1,2,3,4}.
| Earning: Approval pending. |
