ELEC309 2nd Semester Exam Paper 17-18 v2 .pdf - PAPER CODE NO EXAMINER Dr A Al-Ataby ELEC 309 DEPARTMENT EE&E TEL NO 48045 SECOND SEMESTER EXAMINATIONS

# ELEC309 2nd Semester Exam Paper 17-18 v2 .pdf - PAPER CODE...

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PAPER CODE .................... ELEC309 ............... PAGE .... 1 ........ OF .............. 6 .......................... CONTINUED PAPER CODE NO. EXAMINER: Dr A. Al-Ataby ELEC 309 DEPARTMENT: EE&E TEL. NO: 48045 SECOND SEMESTER EXAMINATIONS 2017/18 SIGNAL PROCESSING AND DIGITAL FILTERING TIME ALLOWED: THREE HOURS INSTRUCTIONS TO CANDIDATES The numbers in the right hand margin represent an approximate guide to the marks available for that question (or part of a question). Total marks available are 100. Answer ALL Questions The use of a calculator IS allowed. Additional Information: z-Transform Table.
PAPER CODE .................... ELEC309 ............... PAGE .... 2 ........ OF .............. 6 .......................... CONTINUED 1. a) For Digital Signal Processing (DSP), any continuous-time signal x ( t ) must be converted to a discrete-time signal, x ( n ). For an accurate representation of x ( t ) by x ( n ), state the two conditions that must be met. For a signal:   , 320 sin 5 160 sin 4 80 sin 3 t t t t x what is the minimum sampling frequency that must be used to avoid aliasing? 6 b) In DSP, for a discrete signal x ( n ), why is it necessary to quantise its amplitude? (This is often represented as x q ( n )). If a signal with full-scale range of R is quantised using B bits, what is the relationship among R , B and the quantisation width, Q ? Define the range of the quantisation error,       n x n x n e q q . Under what conditions can   n e q be considered uniformly distributed? 6 c) Discrete Fourier Transform (DFT) and Fast Fourier Transform (FFT) are fundamental in DSP. What is the computational complexity of the direct

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