Answer Happy

(a) One period of a discrete periodic signal is x[n] ={ 14 3 1]. Figure B2: Spectra of windows: Window 1 solid line , Window 2 dashed line (0) Use the discrete Fourier Series expansion of x[n] to plot the line power spectrum of x[n]. -20 -40 (ii) Using the line power spectrum compute the percentage power in the 1st harmonic of x[n] -60 (b) -80 Fig. Q1(b) shows one period of the magnitude of the spectral plots of two 32-length windows used in a DSP spectral analysis process. The lower image is a zoomed in version of the overall plot. -100 -120 (0) -140 -4 -3 -2 1 2 4 Estimate the Scallop Loss in dBs for the two windows. Your graphical workings need to be clearly illustrated in your answer. 0 frequency axis Figur B2 Spectra of windows: Window 1 solid line, Window 2 dashedne (ii) Estimate the maximum level of Spectral Leakage in dBs that can be expected for each of the two windows. Your graphical workings need to be clearly illustrated in your answer. 8-15 (iii) Comment on the effect of using alternative windows to the rectangular window on Scallop Loss, Spectral Leakage and Spectral Resolution. Magnitude in dBs 8 -20 -25 (c) A radar acquires 99,900,000 complex samples during an acquisition of 1 second. It samples at Nyquist frequency a chirp signal of 50MHz bandwidth with compression ratio 400. What is the radar PRF? -0.5 -0.4 -0.3 -0.2 0.3 0.4 0.5 -0.1 0 0.1 0.2 frequency axis