Digital Signal Processin (EX-703 (C)) - Important Questions

Discuss the concept of sampling and reconstruction of signals.

Determine the impulse response $h(n)$ for the system described by a second-order linear difference equation.

Explain what is meant by a linear time-invariant causal system.

Explain how to represent a discrete-time sequence of samples with examples, and define the length of a discrete-time signal.

Compute the addition and product of given finite-length sequences $g[n]$ and $c[n]$, and define Nyquist rate.

Discuss the N-point orthogonal transform pair relating time-domain sequence $x[n]$ of length $N$ to transform coefficients $X[k]$.

Classify discrete-time signals based on symmetry of samples with respect to time index $n=0$, with suitable examples.

Determine the z-transform and ROC of given discrete-time sequences.

Determine the inverse z-transform $x(n)$ of a second-order rational $X(z)$ for specified ROC (causal / anti-causal / two-sided).

Define the z-transform and region of convergence (ROC), and explain causal and anti-causal systems.

Explain the properties of the z-transform for causal signals.

How is stability of a system determined with z-transform?

Determine the linear convolution / system response $y(n)=x(n)*h(n)$ for given finite sequences.

Explain the relationship between multiplication of two DFTs and circular convolution.

Perform circular convolution of two given finite sequences $x_1(n)$ and $x_2(n)$.

Discuss the Discrete Fourier Transform of a length-N time-domain sequence $x[n]$.

Describe the direct form and cascade form realization of a basic FIR digital filter.

Explain how the total number of multipliers in a digital filter realization can be reduced, with a suitable example.

Compute the N-point DFT of the sequence $x[n]=1$ for $n=0$ and $0$ otherwise for $0 \le n \le N-1$.

Realize a given IIR transfer function $H(z)$ in Direct Form II with diagram.

Explain the design of FIR filters using the window method.

Explain the design of an IIR filter using the Butterworth method.

What is parametric and nonparametric spectral estimation.

Explain optimal filtering, including Wiener filter and optimal filtering using ARMA model, with suitable examples.

Explain about Linear Mean Square Estimation.

Write down the applications of digital signal processing. Also differentiate the strict sense stationary and wide sense stationary processes.