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ECTE301 digital Signal Processing Midterm Test 2009 write up B date: 1 hour 30 minutes. rack up Marks: 40 marks. Special Instructions: Answers to questions should be uttered clearly and indite legibly. These aspects of presentation will be interpreted into account in the assessment. Do not commence the mental test until you are told to do so. Answer all questions using the machine-accessible sheets. Name: assimilator ID: Question 1 (20 marks) In the next questions, there is exactly one sort dissolvent. A correct dress is price 2 marks; an incorrect answer or no answer is worth zero mark. Choosing to a gravider extent than one answer is considered incorrect. Answer all questions on the outcome 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 bless 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 signboard x a (t ) is bandlimited to great hundred00 Hz (i.e. the maximum frequency of the aim 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 sig nal-to-quantization noise proportion? (a) 10! 0 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 derail a full essay, order it on our website: OrderCustomPaper.com

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