Digital Signal Processing MCQ

1. What is the Fourier series representation of a signal x(n) whose period is N? A. \(\sum_{k=0}^{N+1}c_k e^{j2πkn/N}\) B. \(\sum_{k=0}^{N-1}c_k e^{j2πkn/N}\) C. \(\sum_{k=0}^Nc_k e^{j2πkn/N}\) D. \(\sum_{k=0}^{N-1}c_k e^{-j2πkn/N}\)   2. What is the expression for Fourier series coefficient ck in terms of the discrete signal x(n)? A. \(\frac{1}{N} \sum_{n=0}^{N-1}x(n)e^{j2πkn/N}\) B. \(N\sum_{n=0}^{N-1}x(n)e^{-j2πkn/N}\) C. \(\frac{1}{N} \sum_{n=0}^{N+1}x(n)e^{-j2πkn/N}\) D. \(\frac{1}{N} …

Discrete Time Signal Analysis MCQ Quiz – Objective Question with Answer for Discrete Time Signal Analysis Read More »

1. The Fourier series representation of any signal x(t) is defined as ___________ A. \(\sum_{k=-\infty}^{\infty}c_k e^{j2πkF_0 t}\) B. \(\sum_{k=0}^{\infty}c_k e^{j2πkF_0 t}\) C. \(\sum_{k=-\infty}^{\infty}c_k e^{-j2πkF_0 t}\) D. \(\sum_{k=-\infty}^{\infty}c_{-k} e^{j2πkF_0 t}\)   2. Which of the following is the equation for the Fourier series coefficient? A. \(\frac{1}{T_p} \int_0^{t_0+T_p} x(t)e^{-j2πkF_0 t} dt\) B. \(\frac{1}{T_p} \int_{t_0}^∞ x(t)e^{-j2πkF_0 t} dt\) …

Continuous Time Signal Analysis MCQ Quiz – Objective Question with Answer for Continuous Time Signal Analysis Read More »

1. The Z-Transform X(z) of a discrete time signal x(n) is defined as ____________ A. \(\sum_{n=-\infty}^{\infty}x(n)z^n\) B. \(\sum_{n=-\infty}^{\infty}x(n)z^{-n}\) C. \(\sum_{n=0}^{\infty}x(n)z^n\) D. None of the mentioned   2. What is the set of all values of z for which X(z) attains a finite value? A. Radius of convergence B. Radius of divergence C. Feasible solution D. …

Z Transform Application MCQ Quiz – Objective Question with Answer for Z Transform Application Read More »

1. Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)]. A. x(n)+y(n) ↔ X(z)Y(z) B. x(n)+y(n) ↔ X(z)+Y(z) C. x(n)y(n) ↔ X(z)+Y(z) D. x(n)y(n) ↔ X(z)Y(z)   2. What is the z-transform of the signal x(n)=[3(2n)-4(3n)]u(n)? A. \(\frac{3}{1-2z^{-1}}-\frac{4}{1-3z^{-1}}\) B. \(\frac{3}{1-2z^{-1}}-\frac{4}{1+3z^{-1}}\) C. \(\frac{3}{1-2z}-\frac{4}{1-3z}\) D. None of the mentioned   3. What is the z-transform of …

LTI System Analysis MCQ Quiz – Objective Question with Answer for LTI System Analysis Read More »

1. What is the unit step response of the system described by the difference equation? y(n)=0.9y(n-1)-0.81y(n-2)+x(n) under the initial conditions y(-1)=y(-2)=0? A. [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n+5.2^o)\)]u(n) B. [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n-5.2^o)\)]u(n) C. [1.099+1.088(0.9)n.\(cos(\frac{\pi}{3} n-5.2^o)\)] D. None of the mentioned   2. If all the poles of H(z) are outside the unit circle, then the system is said to be …

Z Domain System Analysis MCQ Quiz – Objective Question with Answer for Z Domain System Analysis Read More »

1. The z-transform of a signal x(n) whose definition is given by \(X(z)=\sum_{n=0}^{\infty} x(n)z^{-n}\) is known as ________ A. Unilateral z-transform B. Bilateral z-transform C. Rational z-transform D. None of the mentioned   2. For what kind of signals is one-sided z-transform unique? A. All signals B. Anti-causal signal C. Causal signal D. None of …

One Sided Z Transform MCQ Quiz – Objective Question with Answer for One Sided Z Transform Read More »

1. Which of the following method is used to find the inverse z-transform of a signal? A. Counter integration B. Expansion into a series of terms C. Partial fraction expansion D. All of the mentioned   2. What is the inverse z-transform of X(z)=\(\frac{1}{1-1.5z^{-1}+0.5z^{-2}}\) if ROC is |z|>1? A. {1,3/2,7/4,15/8,31/16,….} B. {1,2/3,4/7,8/15,16/31,….} C. {1/2,3/4,7/8,15/16,31/32,….} D. …

Z Transform Inversion MCQ Quiz – Objective Question with Answer for Z Transform Inversion Read More »

1. What are the values of z for which the value of X(z)=0? A. Poles B. Zeros C. Solutions D. None of the mentioned 2. What are the values of z for which the value of X(z)=∞? A. Poles B. Zeros C. Solutions D. None of the mentioned   3. If X(z) has M finite …

Rational Z Transform MCQ Quiz – Objective Question with Answer for Rational Z Transform Read More »

1. Which of the following justifies the linearity property of z-transform?[x(n)↔X(z)]. A. x(n)+y(n) ↔ X(z)Y(z) B. x(n)+y(n) ↔ X(z)+Y(z) C. x(n)y(n) ↔ X(z)+Y(z) D. x(n)y(n) ↔ X(z)Y(z)   2. What is the z-transform of the signal x(n)=[3(2n)-4(3n)]u(n)? A. \(\frac{3}{1-2z^{-1}}-\frac{4}{1-3z^{-1}}\) B. \(\frac{3}{1-2z^{-1}}-\frac{4}{1+3z^{-1}}\) C. \(\frac{3}{1-2z}-\frac{4}{1-3z}\) D. None of the mentioned   3. What is the z-transform of …

Z Transform Properties MCQ Quiz – Objective Question with Answer for Z Transform Properties Read More »