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Questions from the topic - 3. Analysis of LTI system in frequency domain [6 hours] - Digital Signal Analysis and Processing
1. Why do we need Differential Equation? Draw Pole-Zero in Z-plane and plot magnitude response (not to scale) of the system described by the difference equation
y[n] - 0.4y[n-1] + 0.2y[n-2] = x[n] + 0.1x[n-1] + 0.06x[n-2]. - 2069 Chaitra
2. Find the system function H(z) of the system characterized by difference equation $y[n] - \frac{5}{6}y[n - 1] - \frac{1}{6}y[n - 2] - x[n] = 0.$ Find the poles and zeros of the system. Use the pole-zero diagram to plot the approximate frequency response magnitude of the system. - 2067 Mangsir
3. Find the frequency response of the linear time invariant system characterized by difference equation $y[n] - \frac{10}{24}y[n-1] + \frac{1}{24}y[n-2] = x[n].$ If the input the system is $x[n] = \sin\left(\frac{\pi}{3}n\right) + \sin\left(\frac{\pi}{5}n\right)$ then determine output y[n] of the system. - 2068 Bhadra
4. Explain the frequency response for the rational system function with suitable derivations. - 2065 Baisakh-Old