Swinburne University of Technology Faculty of Science Engineering and Technology EEE30004 Digital Signal Processing EEE30004 Digital Signal Processing Simulation Exam Paper Answering Instructions (as appear on the cover page of the formal exam paper) This examination paper contains FIVE (5) questions Q1-Q5. The total mark of this examination paper is 100. Attempt ALL questions Q1-Q5. Workings and answers must be CLEARLY WRITTEN within the space allocated for each question in this examination paper. Backside of each page may be used. All answers must be written in this examination paper only. Additional manuscripts will not be accepted. Do NOT use RED ink in your workings and answers. Unclear writings will not be accepted. The entire set of the examination paper must be handed in at the end of the examination. Simulation Exam Paper Page 1 of 16
Swinburne University of Technology Faculty of Science, Engineering and Technology EEE30004 Digital Signal Processing Q1. The measurement signal is corrupted by noise and written as y(t) = x(x) +n(t), where x(x) is the practical signal of interest and n(t) is a stationary and ergodic noise process. It is known that the root mean square (RMS) amplitude of x(x) is Xrms =1 volt and the power spectral density (PSD) function of the noise is S(@) = 1+10-6 @2 8 ×10-5 . (a) Find the autocorrelation function of the noise process; (b) Find the RMS amplitude of the noise process; (c) Find the equivalent bandwidth and correlation time of the noise process; (d) How many sweeps are required in order to improve the signal to noise ratio (SNR) of the measurement signal by 10 dB; (e) What is the width of a rectangular moving average window in order to improve the signal to noise ratio (SNR) of the measurement signal by 10 dB. (4+3+4+6+3 = 20 marks) Solution space Simulation Exam Paper Page 2 of 16 -
Swinburne University of Technology Faculty of Science, Engineering and Technology EEE30004 Digital Signal Processing Additional solution space Simulation Exam Paper Page 3 of 16