Explain the basic blocks used in the Digital Signal Processing System.
[3 marks]Answer the following: 1. Define the Unit Impulse sequence. 2. Whether the signal y(n) =sin(3n) is periodic or non-periodic? Show the mathematical steps involved. 3. Define: Correlation of discrete time signals 4. Why the ROC of Z-Transform cannot contain any pole?
[4 marks]Compute the convolution of x(n)= u(n)-u(n-a), where a: no. of letters in your first name, for exa: If first name = Amit than , a = 4 and h(n)= {1 2 2 1} using graphical method.
[7 marks]Let x[n] = (6-n) (u[n] – u[n-6]). Sketch the signal: x[4-n]
[3 marks]Define the following terms: • Energy Signal • Power Signal Determine whether the following signal is power signal, energy signal or neither. n, 0 ≤ n ≤ x[n] = {10−n,5 ≤ n ≤ 0, Otℎerwise
[10 marks]Determine r and r for following sequences: xx xy x(n)={1,1,0,1} and y(n)={4,-3,-2,1}
[7 marks]Define following terms:
[7 marks]Causal System, (b) Random Signal, (c) Discrete signal,
[ marks]LTI System
[ marks]Define the Region Of Convergence (ROC) of Z- Transform.
[3 marks]What is the z-transform of the following finite duration signal: x(n)={2,4,5,7,0,1} The signal starts from n = -2 and ends at n=31
[4 marks]State the Properties of Z-Transform and derive any two property.
[7 marks]Compare the direct form-Iand II structures of an IIR systems, with M-zeros and N-poles.
[3 marks]Determine H(𝜔) for the system, y (n) = −0.1y(n − 1) + 0.2y(n − 2) + x(n) + x(n − 1).
[4 marks]Develop Direct form – II realization of following system: 3 + 3.6z−1 + 0.6z−2 H(Z) = 1 + 0.1z−1 − 0.2z−2
[7 marks]Calculate the percentage saving in calculations in a 512- point radix-2 FFT, when compared in direct DFT.
[3 marks]Let x (n) = {A, 2, 3, 4, 5, 6, 7, B}. If X(0) = 20 and X(4)=0, find Aand B.
[4 marks]Write short note on Goertzel algorithm.
[7 marks]Write the difference equation that characterizes a system whose frequency response is 1−e−j𝜔−3e−2j𝜔 H(𝜔) = 1+ 1 e−j𝜔+ 1 e−2j𝜔36
[3 marks]Explain Adaptive filters with suitable application.
[4 marks]Compare IIR filter and FIR filter.
[7 marks]Determine the inverse z-transform of X(z) = 1−1.5z−1+0.5z−2
[3 marks]Explain the followings in context of DSP processor architecture: (1) MAC (2) Pipelining
[4 marks]What is windowing? Explain in detail the process of converting IIR system in to FIR system using rectangular window.
[7 marks]Define following terms: 1. Convolution 2. Discrete Time Fourier Transform (DTFT) 3. Quantization
[3 marks]Explain the following with reference to the multirate signal processing: Decimation, Interpolation
[4 marks]Define FFT. Find 4 point DFT of the sequence x(n) = { 2,1,4,3} by DIF FFT algorithm also plot the magnitude and phase plot.
[7 marks]