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ECTE301

digital Signal Processing

Midterm Test 2009 Paper B
date: 1 hour 30 minutes. Total 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 examination until you are told to do so. Answer all questions using the attached sheets. Name: assimilator ID:

Question 1 (20 marks) In the following questions, there is exactly one correct dissolvent. A correct answer is price 2 marks; an incorrect answer or no answer is worth zero mark. Choosing more than one answer is considered incorrect. Answer all questions on the ANSWER 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 signal 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 signal x a (t ) is bandlimited to great hundred00 Hz (i.e. the maximum frequency of the signal 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 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 startle a full essay, order it on our website: Ordercustompaper.com



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