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ECTE301 digital Signal Processing Midterm Test 2009 topic B date: 1 hour 30 minutes. lend Marks: 40 marks. Special Instructions: Answers to questions should be expressed clearly and indite legibly. These aspects of presentation will be taken into account in the assessment. Do not commence the query until you are told to do so. Answer all questions utilize the prone sheets. Name: assimilator ID: Question 1 (20 marks) In the hobby questions, there is exactly one square up dissolvent. A correct upshot is price 2 marks; an incorrect answer or no answer is worth zero mark. Choosing more(prenominal) than one answer is considered incorrect. Answer all questions on the help 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 manoeuvre 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 maneuver x a (t ) is bandlimited to spacious hundred00 Hz (i.e. the maximum frequency of the emblem 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-quantiza tion noise 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 start up a full essay, order it on our website: OrderCustomPaper.com

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