Determine the impulse response for the cascade of two LTI systems having impulse responses h1(n)=\((\frac{1}{2})^2\) u(n) and h2(n)=\((\frac{1}{4})^2\) u(n).(a) \((\frac{1}{2})^n[2-(\frac{1}{2})^n]\), n0(c) \((\frac{1}{2})^n[2+(\frac{1}{2})^n]\), n0I have been asked this question in an international level competition.Question is from Analysis of Discrete time LTI Systems in section Discrete Time Signals and Systems of Digital Signal Processing

Determine the impulse response for the cascade of two LTI systems havi

1.	Determine the impulse response for the cascade of two LTI systems having impulse responses h1(n)=\((\frac{1}{2})^2\) u(n) and h2(n)=\((\frac{1}{4})^2\) u(n).(a) \((\frac{1}{2})^n[2-(\frac{1}{2})^n]\), n0(c) \((\frac{1}{2})^n[2+(\frac{1}{2})^n]\), n0I have been asked this question in an international level competition.Question is from Analysis of Discrete time LTI Systems in section Discrete Time Signals and Systems of Digital Signal Processing
Answer»

Discussion

No Comment Found

Related InterviewSolutions

What is the output of the system represented by the following direct form?(a) y(n)=-a1y(n-1)-a2y(n-2)- b0x(n)-b1x(n-1)-b2x(n-2)(b) y(n)=-a1y(n-1)-a2y(n-2)+b0x(n)(c) y(n)=-a1y(n-1)-a2y(n-2)+ b0x(n)+b1x(n-1)+b2x(n-2)(d) y(n)=a1y(n-1)+a2y(n-2)+ b0x(n)+b1x(n-1)+b2x(n-2)The question was posed to me by my college director while I was bunking the class.The origin of the question is Implementation of Discrete Time Systems topic in division Discrete Time Signals and Systems of Digital Signal Processing
What is the system does the following direct form structure represents?(a) FIR system(b) Purely recursive system(c) General second order system(d) None of the mentionedThe question was asked in examination.Origin of the question is Implementation of Discrete Time Systems in division Discrete Time Signals and Systems of Digital Signal Processing
If x(n) is the input signal of a system with impulse response h(n) and y(n) is the output signal, then the auto correlation of the signal y(n) is?(a) rxx(l)*rhh(l)(b) rhh(l)*rxx(l)(c) rxy(l)*rhh(l)(d) ryx(l)*rhh(l)I have been asked this question during an interview.The question is from Correlation of Discrete Time Signals topic in portion Discrete Time Signals and Systems of Digital Signal Processing
Which of the following relation is true?(a) ryx(l)=h(l)*ryy(l)(b) rxy(l)=h(l)*rxx(l)(c) ryx(l)=h(l)*rxx(l)(d) none of the mentionedThe question was asked during an internship interview.The doubt is from Correlation of Discrete Time Signals in division Discrete Time Signals and Systems of Digital Signal Processing
Auto correlation sequence is an even function.(a) True(b) FalseI got this question by my school teacher while I was bunking the class.My query is from Correlation of Discrete Time Signals in portion Discrete Time Signals and Systems of Digital Signal Processing
What is the auto correlation of the sequence x(n)=a^nu(n), 0
The normalized auto correlation ρxx(l) is defined as _____________(a) \(\frac{r_{xx}(l)}{r_{xx}(0)}\)(b) –\(\frac{r_{xx}(l)}{r_{xx}(0)}\)(c) \(\frac{r_{xx}(l)}{r_{xy}(0)}\)(d) None of the mentionedI got this question by my school teacher while I was bunking the class.My question is from Correlation of Discrete Time Signals in portion Discrete Time Signals and Systems of Digital Signal Processing
What is the energy sequence of the signal ax(n)+by(n-l) in terms of cross correlation and auto correlation sequences?(a) a^2rxx(0)+b^2ryy(0)+2abrxy(0)(b) a^2rxx(0)+b^2ryy(0)-2abrxy(0)(c) a^2rxx(0)+b^2ryy(0)+2abrxy(1)(d) a^2rxx(0)+b^2ryy(0)-2abrxy(1)This question was posed to me during an interview.The origin of the question is Correlation of Discrete Time Signals topic in section Discrete Time Signals and Systems of Digital Signal Processing
What is the relation between cross correlation and auto correlation?(a) |rxy(l)|=\(\sqrt{r_{xx}(0).r_{yy}(0)}\)(b) |rxy(l)|≥\(\sqrt{r_{xx}(0).r_{yy}(0)}\)(c) |rxy(l)|≠\(\sqrt{r_{xx}(0).r_{yy}(0)}\)(d) |rxy(l)|≤\(\sqrt{r_{xx}(0).r_{yy}(0)}\)I got this question during an internship interview.The query is from Correlation of Discrete Time Signals topic in division Discrete Time Signals and Systems of Digital Signal Processing
Which of the following is the auto correlation of x(n)?(a) rxy(l)=x(l)*x(-l)(b) rxy(l)=x(l)*x(l)(c) rxy(l)=x(l)+x(-l)(d) None of the mentionedThis question was posed to me in homework.My query is from Correlation of Discrete Time Signals topic in chapter Discrete Time Signals and Systems of Digital Signal Processing

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment