(Bilinear transformation and all pass systems in the Laplace domain). The bilinear transformation...
(Bilinear transformation and all pass systems in the Laplace domain). The bilinear transformation F:C→C is a mapping from the z-domain to the Laplace domain
2. Second-order Butterworth CT and DT filters. (a) [5 pts] Given that He (s)- (s+e4(steJr/4 and that the corresponding fiter is causal, verify that He(0) 1. that Hc (jw) decreases monotonically with increasing positive values of u. that I He (j) | 2-1/2 (i.e., that wc-1 is the half-power frequency), and that (b) [3 pts] Give an expression for Hd(z), the bilinear transform applied to Hc(s) in part a. Choose T - 2 in the bilinear-transform formula, ie., (1- z1/(1z1)-(z...
a = 3 signals and systems 1) [10 pts. Let a system be defined as ta y(t) x(31 - 2a)dt 2a Is this system b) No b) No b) No vii) memoryless? a) Yes viii) Linear? a) Yes ix) Time invariant? a) Yes x) Causal? a) Yes xi) BIBO stable? a) Yes 2) [5 pts. What is the impulse response h(t)? 3) [10 pts.] Let a signal in s domain b) No b) No 2 Y(S) Sa What is the...
QUESTION 1 Characterise the following systems as being either causal on anticausal: yn)-ePyn-1)+u/n), where u/h) is the unit step and B is an arbitrary constant (B>0), Take y-1)-0. Answer with either causal or 'anticausal only QUESTION 2 For the following system: yn) -yn-1Va -x(n), for a 0.9, find y(10), assuming y(n) - o, for ns -1.Hint: find a closed form for yin) and use it to find the required output sample. (xin)-1 for n>-0) QUESTION 3 A filter has the...
Please read the article and answer about questions. You and the Law Business and law are inseparable. For B-Money, the two predictably merged when he was negotiat- ing a deal for his tracks. At other times, the merger is unpredictable, like when your business faces an unexpected auto accident, product recall, or government regulation change. In either type of situation, when business owners know the law, they can better protect themselves and sometimes even avoid the problems completely. This chapter...