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ECTE301 digital Signal Processing Midterm Test 2009 newspaper B date: 1 hour 30 minutes. original Marks: 40 marks. Special Instructions: Answers to questions should be express clearly and indite legibly. These aspects of presentation will be taken into account in the assessment. Do not commence the scrutiny until you are told to do so. Answer all questions use the committed sheets. Name: assimilator ID: Question 1 (20 marks) In the by-line questions, there is exactly one temper dissolvent. A correct respond is price 2 marks; an incorrect answer or no answer is worth zero mark. Choosing to a vaster extent than one answer is considered incorrect. Answer all questions on the adjudicate 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 mark 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 augur x a (t ) is bandlimited to great hundred00 Hz (i.e. the maximum frequency of the house 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-quanti zation noise proportion? (a) 100 dB (b) 96 d! B (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 starting a full essay, order it on our website: OrderCustomPaper.com

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