Q4 I Sampling Theory In Order To Test A Digital Filter The Periodic Signal Z T 2 T Nt N 0 Z Shown In Figure 1 (46.37 KiB) Viewed 50 times
Q4(i) Sampling Theory In order to test a digital filter, the periodic signal z(t) = 2(t+nt), n > 0 € Z, shown in Figure Q4(a) is sampled at T.ms. The result is the test sequence 2 [n] = x(nt.). x(t) [V]. period i ms A A 4 t/2 [ t[ms] Figure Q4(a) - A Periodic Test Signal For the rest of this question, the amplitude of the test sequence A = 1 V and the period of the test sequence T = 5 ms. a) If the test signal is sampled at 100 samples per period, what is the sampling frequency fe in KHz? b) What is the Nyquist frequency fr kHz for this sampled data system?
c) Using the sampling frequency f, determine the sampling period T, and use this value to compute (nT). 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. x[0] [1] x [2] [3] <[4] [5] [6] 217]
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