Digital and signal analysis;

Digital and signal analysis; PartA “""w You have been given the impulse response, h[n], ofa digital FIR filter, as shown in Figurel. You are required to analyse the response of the filter to the particular input signal x[n], also shown in Figure l. FIRfiItewith impulse response h[n] n ylnl Xlnl - - hl l 2 ~ - 2 -> 0 OUTPUT 0 l 23 ...n '1 0 23 ...n INPUT Figure 1 i) Use convolution to find the output, y[n], of the FIR filter in response to the specified input, x[n], shown in Figure 1. (10) ii) Obtain the ‘2’ domain transfer function of the Filter in Figure 1 (note: you could use your answer to part i) or obtain directly from h[n]). (10) iii) Use Matlab to plot the frequency response of the 2 transfer function of ii). Include your plot in your assignment return, and describe how you obtained it. What type of filter is it ? (LP, HP, BS or BP) (20) Part B Figure 2 shows the structure of a digital filter in block diagram form. i) Obtain the difference equation describing the behaviour of the filter. + "2) ii) Determine the impulse response of the X62) filter. x["] : y [n iii) Find the z-domain transfer function of the system i.e. find Y(z)/X(z). iv) Ifthe filter was implemented at a _1 sampling frequency of Fs=1oHz, at what frequency would the peak of the magnitude of the frequency response occur ? What magnitude does it have at this frequency? v) Does it possess a low-pass, high-pass, band-pass or band-stop characteristic vi) Check your results with Matlab and include supporting plots and the commands you used. Figure 2 Part C (40) Investi ate and re ort on the u determining the uiiderlying @3512??? Bmary Random sequences (PRESS) for YStemS 1-6. hOW are they used for svstem identification. * (20) PLACE THIS ORDER OR A SIMILAR ORDER WITH US TODAY AND GET AN AMAZING DISCOUNT :)