You may find the following definitions useful: • A periodic function with period is defined as f(t) = f(t+nat) where n =

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You May Find The Following Definitions Useful A Periodic Function With Period Is Defined As F T F T Nat Where N 1 (55.15 KiB) Viewed 54 times

You may find the following definitions useful: • A periodic function with period is defined as f(t) = f(t+nat) where n = 0,1,2,3,... EZ. • The delta sequence is 50 = 1,5[1] = 0,7 +0. The unit step function for continuous-time systems is u.(t). You should assume (like MATLAB does) that uo(t) = 1/2. • The unit step sequence 20 [] = {1,1,1,...,n > 0,49 [1] = 0,n <0. • Carefully note the difference between xo(0) and 2010). Q4(i) Sampling Theory In order to test a digital filter, the periodic signal z(t) = 2(t+1), n > 0 € Z, shown in Figure 04(a) is sampled at T.ms. The result is the test sequence I[n] = z (nT.). x(t) [ period t ms A 7/2 [ t[ms] Figure Q4(a) - A Periodic Test Signal For the rest of this question, the amplitude of the test sequence A=7V and the period of the test sequence T = 20 ms. a) If the test signal is sampled at 50 samples per period, what is the sampling frequency f, in KH22 b) What is the Nyquist frequency f. kHz for this sampled data system? C) Using the sampling frequency f, determine the sampling period T, and use this value to computer (TT). Hence tabulate the first eight terms of the test sequence X[n). Round your answers to 3 significant figures. Answers may be entered as fractions, z[0 z z(2 z(3) z[4 z(5) z[6 [1] [ [ 27