DEPARTMENT OF EI DIGITAL SIGNAL PROCESSING ASSIGNMENT 1

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1 This PDF is Created by Simpo PDF Creator unregistered version - Study hard, for the well is deep, and our brains are shallow DEPARTMENT OF EI DIGITAL SIGNAL PROCESSING ASSIGNMENT 1 Q1 What are the advantages of representing a digital filter in the block diagram form Q2 Determine the cascade and parallel realizations for the system described by the system function: Q3 Obtain the direct form I and II structures for a third order IIR transfer function which is given as: Q4 What are canonic and non-canonic structures? Q5 Explain parallel form realization Q6 Draw the direct-form I realization structure of 3rd order system Q7 Explain advantage of direct form structures Q8 What is ladder structure? Q9 Explain continued fraction expansion method? Explain with an example

2 This PDF is Created by Simpo PDF Creator unregistered version - ASSIGNMENT 2 Q1 Explain the mapping from s-plane to z-plane Q2 Explain the magnitude characteristics of the physically realizable filter Q3 Use impulse invariance method to design a digital filter from an analog prototype that have a system function : ( ) Q4 Describe the complete mapping with the expressions and diagrams from splane to z-plane if bilinear transformation is used What do you mean by frequency warping effect and pre-warping with respect to bilinear transformation Q5 Make use of bilinear transformation to obtain H(z) if it is given that : Ha(s) ( ) and T 01s Q6 Design a digital Butterworth filter using impulse invariant method if: 0707 H (ejww) 1 H (ejww) 02 w 05π, 0 w, w π π w Q7 Write short note: a) Butterworth filter b) Chebyshev filter Q8 Describe the complete mapping with the expressions and diagrams from splane to z-plane if impulse invariant transformation is used

This PDF is Created by Simpo PDF Creator unregistered version - http://wwwsimpopdfcom ASSIGNMENT 3 Q1 Explain symmetric and anti-symmetric FIR filters Q2 What is meant by linear phase response?

3 This PDF is Created by Simpo PDF Creator unregistered version - ASSIGNMENT 3 Q1 Explain symmetric and anti-symmetric FIR filters Q2 What is meant by linear phase response? Prove that filter with the following response has linear phase response: h(n) [ ] Q3 Show that if z1 is the zero of the linear phase FIR filter, then 1/ z1 is also zero of the filter Q4 Design an FIR filter to meet the following specifications: Pass band edge frequency2 KHz Stop band edge frequency5 KHz Stop band attenuation50db Sampling frequencyfs20 KHz Use Hamming Window Q5 Design an FIR linear phase filter using Kaiser window to meet the following specifications: w 019π 099 H (ejww) 101, 0 w H (ejww) 001, 021π w w π Q6 Compare the frequency domain characteristics of the different types of window Q7 Design a bandpass filter which approximates the ideal filter with cut-off frequencies at 02 rad/sec and 03 rad/sec The filter order is M7 Use the Hanning window function Q8 Explain Gibb`s phenomenon Q9 Explain Window function

This PDF is Created by Simpo PDF Creator unregistered version - http://wwwsimpopdfcom ASSIGNMENT 4 Q1 What are the advantages of DSP over ASP?

4 This PDF is Created by Simpo PDF Creator unregistered version - ASSIGNMENT 4 Q1 What are the advantages of DSP over ASP? Q2 State and prove the symmetry property of DFT Q3 Obtain DFT of unit impulse function d(t) Q4 compute the DFT of following window function : w(n) u(n) u(n-n) Q5 Determine DFT of four point sequence x(n) [ ] Q6 Explain the relation of DFT to Z-transform Q7 State and prove Duality property of DFT Q8 Compute circular convolution of : x(n) [ ] and h(n) [ ] Q9 Compute linear convolution using circular convolution of sequences x (n) [1 2 3] and h(n) [1 2] Q10 DFT of a sequence x(n) is given by X(k) [4 property only determine x*(n) 12j j 1-3j] Using DFT

5 This PDF is Created by Simpo PDF Creator unregistered version - ASSIGNMENT 5 Q1 Derive DIT FFT flowgraph for N4 Q2 Derive DIF FFT flowgraph for N16 Q3 Compare the number of multiplications and additions which are needed for direct computation of DFT with those needed for radix-2 FFT algorithms Q4 Determine how a 2N-point DFT of a real valued sequence may be computed using an N-point FFT algorithm Q5 Determine the four point DFT of the sequence x(n){ } using DIT FFT algorithm Q6 Explain In-Place computation for DFT Q7Discuss the FFT algorithms for composite value of N Q8 Derive the DIT IDFT FFT flowgraph for N4 Q9 Determine eight point DFT of the sequence x(n)[ ] using DIT FFT Q10 Determine IDFT of X(k)[10,-22j,-2,-2-2j] using DIT FFT

DHANALAKSHMI COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING EC2314- DIGITAL SIGNAL PROCESSING UNIT I INTRODUCTION PART A

DHANALAKSHMI COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING EC2314- DIGITAL SIGNAL PROCESSING UNIT I INTRODUCTION PART A Classification of systems : Continuous and Discrete