# Imp Questions for DSP

During the 7th semester of Electronics and Communication Engineering, students learn about digital signal processing. There is no doubt that DSP subjects are among the toughest in the 7th semester, and this subject is difficult on its own. Mathematical representation and theory were heavily emphasized in this subject.

In order to help you pass this exam, we have put together a list of some of the most important questions.

## Chapter-1 Discrete-Time Signals and Systems:

1. Define the following systems with their mathematical interpretation: Ideal delay, moving average, Accumulator, Compressor, forward difference, backward difference. (6 marks )
2. Define the following systems and give one example for each: Memoryless(static), Linear, Timeinvariant, Causal, stable. (5 marks)
3. Prove that accumulator is a linear, time-invariant and unstable system. (4 marks)
4. Derive BIBO stability criterion. (3 marks)
5. Refer (re-write) all numerical discussed in theory sessions for checking system linearity, time invariance, causality, Memory, stability.
6. Define linear convolution and show that LTI systems can be completely characterized by their impulse response. Also list the methods of linear convolution. (4 marks)
7. Explain commutative, distributive and associative properties of linear convolution. (4 marks)
8. Refer (Rewrite) all numerical of linear convolution methods and impulse response discussed in the theory sessions.
9. Show that how input-output relationship of an LTI system can be characterized by LCCDE.(3 marks)
10.Refer (re-write) all numerical for solution of LCCDE discussed in theory sessions.
11.Define DTFT and Inverse DTFT. (2 marks)
12.Explain Dirichlet’s Condition for existence of DTFT. (3 marks)
13.Explain symmetry property of DTFT.(4 marks)
14.State & Prove linearity, time shifting, frequency shifting, time reversal, differentiation and convolution properties of DTFT. (7 marks)
15.Refer (Rewrite) all numerical discussed using DTFT, impulse response with DTFT in the theory sessions.
16.Define correlation of signals. (2 marks)

## Chapter 2:-  The Z- Transform and Analysis Linear Time-of Invariant System:

17.Define Z.T of a sequence and relate it with DTFT. Also give applications of Z.T. (4 marks)
18.What is ROC in Z.T ? Briefly explain its properties. (7 marks)
19.Write linearity, time shifting, scaling properties of Z.T and prove them. Also discuss their ROC. (7 marks)
20.Write differentiation, convolution and time reversal properties of Z.T and prove them. Also discuss their ROC. (7 marks)
21.Rewrite all examples of Z.T ,inverse Z.T and system function H(z) with LCCDE and h(n) discussed during theory sessions.
22.Define the inverse system, how to make non invertible system to an invertible system.(7 marks)
23.Discuss an all pass system in details with its properties and applications. (7 marks)
24.Explain the minimum-phase system and also discuss how to decompose a given system into minimum phase-all pass concatenation.(7 marks)
25.Compare the minimum phase and non-minimum phase system.(4 marks)
26.Find out all pass minimum phase description of given system H1(z)= (1+3z-1 )/(1+0.5z-1 ). (7 marks)
27.What is Linear phase system? Explain it in brief with example.(3 marks)
28.Rewrite all numerical of transform pole-zero stability causality, frequency response of rational systems , phase systems, all pass-minimum phase systems, discussed in the theory sessions.

## Chapter 3 :-Structures for Discrete Time Systems:

29.Explain basic structure for IIR systems. (7 marks)
30.Discuss types of linear phase FIR systems. (4 marks)
31.Explain structures for linear phase FIR systems. (4 marks) .
32.Refer (re-write) all numerical for systems structures discussed in theory sessions.

## Chapter 4:- Filter Design Techniques:

33.List disadvantages of digital filters.(3 marks)
34.Enlist atleast three differences between FIR and IIR Filters.(3 marks)
35.Convert the given Analog Filter in to the digital filter using impulse invariance technique. Ha(s)=(s + a) /{(s + a) 2 + b2 }(4 marks).
36.Give limitations of Impulse Invariance method of designing IIR filter.(3 marks)
37.Discuss design steps of IIR filter using bilinear transformation.(7 marks)
38.What do you mean by frequency pre-warping and warping?(4 marks)
39.Discuss the design of FIR filter using windowing method in brief. (7 marks)
40.Explain design of FIR filters by Kaiser window and mention its advantages against the commonly used windows. (7 marks)
41.Compare, Hamming window with Blackman window. (4 marks)
42.Compare Type-1, Type-2, Type-3 and Type-4 FIR Filter. (7 marks)

## Chapter 5:- Discrete-Fourier Transform & FFT:

43.Define N-point DFT & IDFT. What is Twiddle factor ? (3 marks)
44.Discuss circular shift and symmetry properties of DFT. (7 marks)
45.Refer (re-write) all numerical for DFT discussed in the theory sessions.
46.Why FFT is used ? state two widely used algorithms for FFT computation. (2 marks)
47.Discuss the number of complex multiplication required in FFT .(3 marks)
48.Explain decimation in frequency algorithm for radix-2. (7 marks)
49.Describe decimation in time FFT algorithm for radix-2. (7 marks)
50.Discuss Goertzel algorithm. (4 marks).

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