for each of the systems shown below check all of the following statement that always true.
for each of the systems shown below check all of the following statement that always true. Statement The system is stable. The system is unstable. system is causal The system is non-causal If the sys...
Problem : Consider the systems A and B whose roots are shown below BI 1. Regarding stability, the systems are a) b) c) d) Both stable Both unstable A is unstable and B is stable A is stable and B is unstable 2. The responses of the systems to step input are characterized as follows: a) Both are underdamped b) Both are overdamped c) A is underdamped and B is overdamped d) A is overdamped and B is underdamped 3....
2. Circle the causal BIBO stable ROC below. a) 1.1<\리<1.2 b) Izk1/201zP1/2 d) 0.5<Izl<0.9 e) none above 3. A linear time-invariant IIR system is always BIBO stable a) True b) False 4. If a fiter has z-transform H(z)05, then the fiter s ;z>0.5, then the filter is zz-0.5z a) Nonlinear b)FIR )R d) two-sided e) none above 5. The discrete-time frequency o in rad/ sample of the sinusoid hin] below is d) T2 e) none above hIn] -1
oints, 2each] For the following systems, classify each system as causal/non-causal, and invertible/noninvertible system. Explain your answer? a) y(t) In(x(t -2)), x(t) is real b) y(t)21x(t +2) Solution:
In digital signal processing. with explanation tnx will up 15. Is the function y[n]-x[n-1]-x[n-56] causal? a. The system is non causal b. The system is causal >» c. Both causal and noncausal d. None of the above 16. Is the function y[n]x[n] stable in nature? a. It is stable - b. It is unstable c. Both stable and unstable d. None of the above 17. We define y[n] = nx[n]-(n-Dx[n]. Now, z[n] = z[n-1] + y[n]. Is z[n] a a....
Please show full Calculations for part C) 1. Consider the following causal LTI systems with difference equations (a) yIn]+3 y[n-1]+2y[n-2] - x[n] + 2xln-1] (b) y[n] +0.8 y[n-21 x[n-1]. (c) y[n] -0.5 yln-2 2x[n] -xln-21]. In each of cases a,b and c i) Find and sketch the impulse response, hin) by recursive solution. ii) Is the system FIR or IIR ? ii) Find and sketch the corresponding step response, s[n] iv) Draw the direct form & direct-form Il structures for...
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 show detailed work/proof 3. The input and output of a causal LTI system satisfy the following difference equation (d.e.) y[n] = ayln-1] + x[n]-a"x[n-N], N > 0 a. Determine the impulse response h[n]. Hint: solve it iteratively starting from n=0, 1, , n=N+1; x[n] = δ[n] then think what is y[n] ? b. Sketch the impulse response h[n] c. Is this an FIR or an IIR system? d. For what values of the parameter a is the system stable?
7.31. Suppose that we have used the Parks-McClellan algorithm to design a causal FIR linear phase lowpass filter. The system function of this system is denoted H(z). The length of the impulse response is 25 samples, i.e., h[n] 0 for n < 0 and for n > 24, and hol?0. The desired response and weighting function used were In each case below, determine whether the statement is true or false or that insufficient information is given. Justify your conclusions. (a)...
Each of the following equations specifies an LTID system. Determine whether these systems are asymptotically stable, unstable, or marginally stable. 9.6-1 (a) yk 20.6y[k + 1] - 0.16y[k] = f k + 1 - 2flk] (b) (Е? (c) (E 1Ey{k] = (E + 2)fjk] (d) yk2y(k]0.96y(k - 2] 2flk - 1] +3f(k - 3] (e) (E2- 1)(E +E+1)уk] 3DEflk] +1)yk fk] Each of the following equations specifies an LTID system. Determine whether these systems are asymptotically stable, unstable, or marginally...
please answer them indetail. thanks 4. Let x(n) be a causal sequence. a) b) what conclusion can you draw about the value of its z-transform x(z) at z 00, Use the result in part (a) to check which of the following transforms cannot be associated with a causal sequence (z-1* (z (1-^2-1)- i, x(z) = 321) iii, x(z) = A causal pole-zero system is BIBO stable if its poles are inside the unit circle. Consider now a pole- zero system...