What is the value of discrete time signal x(n) at n=0 whose Fourier transform is represented as below?(a) ωc.π(b) -ωc/π(c) ωc/π(d) none of the mentionedI had been asked this question during an interview.I'm obligated to ask this question of Frequency Analysis of Discrete Time Signal in division Frequency Analysis of Signals and Systems of Digital Signal Processing

What is the value of discrete time signal x(n) at n=0 whose Fourier tr

1.	What is the value of discrete time signal x(n) at n=0 whose Fourier transform is represented as below?(a) ωc.π(b) -ωc/π(c) ωc/π(d) none of the mentionedI had been asked this question during an interview.I'm obligated to ask this question of Frequency Analysis of Discrete Time Signal in division Frequency Analysis of Signals and Systems of Digital Signal Processing
Answer» Correct option is (C) ωc/π For explanation: We know that, x(n)=\(\frac{1}{2\pi} \int_{-\pi}^{\pi}X(\omega)E^{j\omega n} dω\) =\(\frac{1}{2\pi} \int_{-ω_c}^{ω_c}1.e^{j\omega n} dω\) At n=0, x(n)=x(0)=\(\int_{-ω_c}^{ω_c}1 dω=\frac{1}{2\pi}(2 ω_c)=\frac{ω_c}{\pi_ω}\) THEREFORE, the value of the signal x(n) at n=0 is ωc/π.

Discussion

No Comment Found

Related InterviewSolutions

A causal system produces the output sequence y(n)={1,0.7} when excited by the input sequence x(n)={1,-0.7,0.1}, then what is the impulse response of the system function?(a) [3(0.5)^n+4(0.2)^n]u(n)(b) [4(0.5)^n-3(0.2)^n]u(n)(c) [4(0.5)^n+3(0.2)^n]u(n)(d) None of the mentionedThis question was addressed to me by my school principal while I was bunking the class.Question is taken from Inverse Systems and Deconvolution topic in division Frequency Analysis of Signals and Systems of Digital Signal Processing
An IIR system with system function H(z)=\(\frac{B(z)}{A(z)}\) is called a mixed phase if ___________(a) All poles and zeros are inside the unit circle(b) All zeros are outside the unit circle(c) All poles are outside the unit circle(d) Some, but not all of the zeros are outside the unit circleThis question was addressed to me during a job interview.Enquiry is from Inverse Systems and Deconvolution topic in portion Frequency Analysis of Signals and Systems of Digital Signal Processing
If the frequency response of an FIR system is given as H(z)=1-5/2z^-1-3/2z^-2, then the system is ___________(a) Minimum phase(b) Maximum phase(c) Mixed phase(d) None of the mentionedThe question was asked in unit test.My enquiry is from Inverse Systems and Deconvolution in chapter Frequency Analysis of Signals and Systems of Digital Signal Processing
An IIR system with system function H(z)=\(\frac{B(z)}{A(z)}\) is called a minimum phase if ___________(a) All poles and zeros are inside the unit circle(b) All zeros are outside the unit circle(c) All poles are outside the unit circle(d) All poles and zeros are outside the unit circleI have been asked this question during an interview.My question is taken from Inverse Systems and Deconvolution topic in chapter Frequency Analysis of Signals and Systems of Digital Signal Processing
If the frequency response of an FIR system is given as H(z)=1-z^-1-6z^-2, then the system is ___________(a) Minimum phase(b) Maximum phase(c) Mixed phase(d) None of the mentionedI got this question during an online exam.This intriguing question originated from Inverse Systems and Deconvolution topic in section Frequency Analysis of Signals and Systems of Digital Signal Processing
If the frequency response of an FIR system is given as H(z)=6+z^-1-z^-2, then the system is ___________(a) Minimum phase(b) Maximum phase(c) Mixed phase(d) None of the mentionedI had been asked this question in an interview for internship.This key question is from Inverse Systems and Deconvolution topic in section Frequency Analysis of Signals and Systems of Digital Signal Processing
What is the causal inverse of the FIR system with impulse response h(n)=δ(n)-aδ(n-1)?(a) δ(n)-aδ(n-1)(b) δ(n)+aδ(n-1)(c) a^-n(d) a^nThe question was posed to me in a job interview.Origin of the question is Inverse Systems and Deconvolution topic in portion Frequency Analysis of Signals and Systems of Digital Signal Processing
What is the inverse of the system with impulse response h(n)=δ(n)-1/2δ(n-1)?(a) (1/2)^nu(n)(b) -(1/2)^nu(-n-1)(c) (1/2)^nu(n) & -(1/2)^nu(-n-1)(d) None of the mentionedThe question was asked during an online exam.The origin of the question is Inverse Systems and Deconvolution in section Frequency Analysis of Signals and Systems of Digital Signal Processing
If h(n) is the impulse response of an LTI system T and h1(n) is the impulse response of the inverse system T^-1, then which of the following is true?(a) [h(n)*h1(n)].x(n)=x(n)(b) [h(n).h1(n)].x(n)=x(n)(c) [h(n)*h1(n)]*x(n)=x(n)(d) [h(n).h1(n)]*x(n)=x(n)This question was posed to me in an international level competition.My question is from Inverse Systems and Deconvolution topic in division Frequency Analysis of Signals and Systems of Digital Signal Processing
What is the inverse of the system with impulse response h(n)=(1/2)^nu(n)?(a) δ(n)+1/2 δ(n-1)(b) δ(n)-1/2 δ(n-1)(c) δ(n)-1/2 δ(n+1)(d) δ(n)+1/2 δ(n+1)The question was asked in an online interview.Enquiry is from Inverse Systems and Deconvolution topic in section Frequency Analysis of Signals and Systems of Digital Signal Processing

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment