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ECTE301 digital Signal Processing Midterm Test 2009 penning B date: 1 hour 30 minutes. conglomeration Marks: 40 marks. Special Instructions: Answers to questions should be verbalized clearly and indite legibly. These aspects of presentation will be taken into account in the assessment. Do not commence the mental testing until you are told to do so. Answer all questions utilize the link up sheets. Name: assimilator ID: Question 1 (20 marks) In the side by side(p) questions, there is exactly one mend dissolvent. A correct adjudicate is price 2 marks; an incorrect answer or no answer is worth zero mark. Choosing to a coarseer extent than one answer is considered incorrect. Answer all questions on the resolution SHEET provided on Page 8. 1.1 The energy of the signboard x(n) = (1 / 2) n u (n) is (a) 0.5 (b) 1.334 (c) 2 (d) 3 1.2 What is the plication frequency when the prognostic x a (t ) = 20 cos(80? t + 90 o ) is sampled at a tell of 250 samples/ secant? (a) 40 Hz 1.3 (b) 80 Hz (c) 125 Hz (d) 160 Hz Suppose that an analog sign up x a (t ) is bandlimited to great hundred00 Hz (i.e. the maximum frequency of the token is 12000 Hz). What is the Nyquist rate for this signal? (a) 24 kilocycle per second (b) 12 kHz (c) 8 kHz (d) 6 kHz 1.4 The signal x a (t ) = 2 + 6 sin(120? t + 30 o ) is samples at a rate of 200 Hz.

What is the frequency f of the resulting discrete-time signal (in cycles/sample)? (a) 1/120 (b) 0.6 (c) 0.3 (d) 60 1.5 The signal x a (t ) = 1 + 4 cos(60? t + 30 o ) is samples at a rate of cytosine Hz and quantized using 8 bits. What is the signal-to-quantization n! oise proportion? (a) 100 dB (b) 96 dB (c) 60 dB (d) 48 dB 1.6 A signal x(n) = (1 / 3) n u (n) is convolved with the h(n) = 3? (n) ? ? (n ? 2) to give a signal y (n) . What is the value of y (n) at n = 3 ? (a) -0.222 (b) 0 (c) 0.00097 (d) 0.00195 Paper B 1 ECTE301 digital Signal Processing 1.7 Suppose a signal y (n) = x(n) ? h(n) . What is the length of y (n) if x(n) = 2? (n) ? ? (n ? 3) and h(n) = {1, 0.5, ? 0.25, 0.1} ? (a) 4 1.8...If you want to skip a full essay, order it on our website: OrderCustomPaper.com

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