EC2302 Digital Signal Processing Question Bank Question Paper Model Question Paper Anna University Question Bank Important Questions 2 marks and 16 marks questions

EC2302 Digital Signal Processing Question Bank Question Paper Model Question Paper Anna University Question Bank Important Questions 2 marks and 16 marks questions

**QUESTION BANK**

**TWO MARKS:**

**1. Define about DFT and IDFT?**

**2. Find the values of WNk ,When N=8, k=2 and also for k=3.**

**3. Compare DIT radix-2 FFT and DIF radix -2 FFT.**

**4. Draw the radix-2 FFT–DIF butterfly diagram.**

**5. Draw the radix-2 FFT–DIT butterfly diagram.**

**6. What is the necessity of sectioned convolution in signal processing?**

**7. Define Correlation of the sequence.**

**8. State any two DFT properties.**

**9. Why impulse invariant transformation is not a one-to-one mapping?**

**PART - B**

**1. a) Compute 4- point DFT of casual three sample sequence is given by,**

**x(n) = 1/3, 0_n_2 = 0, else (10)**

**b) State and prove shifting property of DFT. (6)**

**2. Derive and draw the radix -2 DIT algorithms for FFT of 8 points. (16)**

**3. Compute the DFT for the sequence {1, 2, 0, 0, 0, 2, 1, 1}. Using radix -2 DIF FFT and radix -2 DIT- FFT algorithm. (16)**

**4. Find the output y(n) of a filter whose impulse response is h(n) = {1, 1, 1} and input signal x(n) = {3, -1, 0, 1, 3, 2, 0, 1, 2, 1}. Using Overlap add overlap save method. (16)**

**5. In an LTI system the input x(n) = {1, 1, 1}and the impulse response h(n) = {-1, -}Determine the response of LTI system by radix -2 DIT FFT (16)**

**6. Find the output y(n) of a filter whose impulse response is h(n) = {1, 1, 1} and input signal x(n) = {3, -1, 0, 1, 3, 2, 0, 1, 2, 1}. Using Overlap save method (16)**

**UNIT-II: DIGITAL FILTERS DESIGN**

**TWO MARKS:**

**1. Differentiate IIR filters and FIR filters.**

**2. Write the characteristics features of Hanning window**

**3. Define pre-warping effect? Why it is employed?**

**4. Give any two properties of Butterworth filter.**

**5. When a FIR filter is said to be a linear phase FIR filter**

**6. Write the characteristics features of rectangular window.**

**7. Write the expression for Kaiser window function..**

**8. What are the advantages and disadvantages of FIR filters?**

**9. Write the characteristics features of Hamming window**

**10. Why mapping is needed in the design of digital filters?**

**PART - B**

**1 . With a neat sketch explain the design of IIR filter using impulse invariant transformation. (16)**

**2. Apply impulse invariant transformation to H(S) = (S +1) (S + 2) with T =1sec and find H(Z). (16)**

**3. For a given specifications of the desired low pass filter is**

**0.707 _ |H(_)| _1.0, 0 _ _ _ 0.2_|H(_)| _ 0.08, 0.4 _ _ _ _ _**

**Design a Butterworth filter using bilinear transformation. (16)**

**4. Explain the procedural steps the design of low pass digital Butterworth filter and list its properties. (16)**

**5. The normalized transfer function of an analog filter is given by,**

**1Ha(Sn)= Sn2 + 1.414Sn +1 with a cutoff frequency of 0.4 _, using bilinear transformation. (16).**

**6. List the three well known methods of design technique for IIR filters and explain any one. (16)**

**7. Design a low pass filter using rectangular window by taking 9 samples of w(n)**

**and with a cutoff frequency of 1.2 radians/sec.Using frequency sampling method, design a band pass FIR filter with the following specification. Sampling frequency Fs =8000 Hz, Cutoff frequency fc1 =1000Hz, fc2 =3000Hz.Determine the filter coefficients for N =7. (16)**

**8. Design an ideal high pass filter with Hd(ej _) = 1 ; _/4 _ | _| _ _= 0 ; | _| _ _/4 Using Hamming window with N =11 (16)**

**9. Determine the coefficients of a linear phase FIR filter of length N =15 which has a symmetric unit sample response and a frequency response that satisfies the conditions H (2 _k /15) = 1; for k = 0, 1, 2, 3**

**= 0.4 ; for k = 4**

**= 0; for k = 5, 6, 7 (16)**

**10. Design and implement linear phase FIR filter of length N =15 which has following unit sample sequence H(k) = 1 ; for k = 0, 1, 2, 3**

**= 0 ; for k =4, 5, 6, 7 (16)**

**11. Convert the analog filter in to a digital filter whose system function is**

**S + 0.2 H(s) = (S + 0.2)2 + 9.Use Impulse Invariant Transformation .Assume T=1sec (16)**

**12. The Analog Transfer function H(s)= ----------------.Determine H(Z) .Using Impulse (S+1) (S+2) Invariant Transformation .Assume T=1sec . (8)**

**13. Apply Bilinear Transformation to H(s)= ------------- with T=0.1 sec. (8)**

**(S+2)(S+3)**

**UNIT-III: EFFECTS OF FINITE WORD LENGTH**

**TWO MARKS:**

**1. What are the effects of finite word length in digital filters?**

**2. List the errors which arise due to quantization process.**

**3. Discuss the truncation error in quantization process.**

**4. Write expression for variance of round-off quantization noise.**

**5. What is sampling?**

**6. Define limit cycle Oscillations, and list out the types.**

**7. When zero limit cycle oscillation and Over flow limit cycle oscillation has occur?**

**8. Why? Scaling is important in Finite word length effect.**

**9. What are the differences between Fixed and Binary floating point number representation?**

**10. What is the error range for Truncation and round-off process?**

**PART - B**

**1. The output of an A/D is fed through a digital system whose system function is**

**H(Z)=(1-_)z /(z-_), 0<_<1.Find the output noise power of the digital system. (8)**

**2. The output of an A/D is fed through a digital system whose system function is**

**H(Z)=0.6z/z-0.6. Find the output noise power of the digital system=8 bits (8)**

**3. Discuss in detail about quantization effect in ADC of signals. Derive the expression for Pe(n) and SNR. (16)**

**4 a. Write short notes on limit cycle oscillation (8)**

**b. Explain in detail about signal scaling (8)**

**5. A digital system is characterized by the difference equation**

**Y(n)=0.95y(n-1)+x(n).determine the dead band of the system when x(n)=0 and y(-1)=13. (16)**

**6. Two first order filters are connected in cascaded whose system functions of theIndividual sections are H1(z)=1/(1-0.8z-¹ ) and**

**H2(z)=1/(1-0.9z¹ ).Determine the Over all output noise power. (16)**

**UNIT-IV: POWER SPECTRUM ESTIMATION**

**TWO MARKS**

**1. What is the need for spectral estimation?**

**2. How can the energy density spectrum be determined?**

**3. What is autocorrelation function?**

**4. What is the relationship between autocorrelation and spectral density?**

**5. Give the estimate of autocorrelation function and power density for random signals?**

**6. Obtain the expression for mean and variance for the autocorrelation function of random signals.**

**7. Define period gram.**

**PART - B**

**1. Explain how DFT and FFT are useful in power spectral estimation. (10)**

**2. Explain Power spectrum estimation using the**Bartlett window. (8)

**3. Obtain the mean and variance of the averaging modified period gram estimate. (16)**

**4. How is the Blackman and**Turkey method used in smoothing the

**Periodogram? (10)**

**5. Derive the mean and variance of the power spectral estimate of the Blackman and**Turkey method. (10)

**6. What are the limitations of non-parametric methods in spectral estimation? (8)**

**7. How the parametric methods overcome the limitations of the non-parametric methods? (10)**

**UNIT-V: DIGITAL SIGNAL PROCESSORS**

**TWO MARKS:**

**1. What are the factors that influence the selection of DSPs.**

**2 .What are the advantages and disadvantages of VLIW architecture?**

**3. What is pipelining? and What are the stages of pipelining?**

**4. What are the different buses of TMS 320C5x processor and list their functions**

**5. List the various registers used with ARAU.**

**6. What are the shift instructions in TMS 320 C5x.**

**7. List the on-chip peripherals of C5x processor.**

**PART - B**

**1. Explain in detail about the applications of PDSP (10)**

**2. Explain briefly:**

**(i). Von Neumann architecture (5)**

**(ii). Harvard architecture (5)**

**(iii).VLIW architecture (6)**

**3. Explain in detail about**

**(i). MAC unit (8 )**

**(ii). Pipelining (8)**

**4. Draw and explain the architecture of TMS 320C5x processor (16)**

**5. Explain in detail about the Addressing modes of TMS 320C50 (16)**

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