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Unit: 1 – Introduction to DSP and Z Transform

1.1: Introduction to DSP

1.2: Discrete-time signal representation

1.3: Standard discrete-time signals

1.3.1: Operations on discrete-time signals

1.4: Energy and power signals

1.5: Periodic and non-periodic signals, Even and odd signals, causal and noncausal signals

1.6: System Introduction

1.6.1: Linear and non-linear systems

1.6.2: Time invariant and time-variant systems

1.6.3: Causal and non-causal systems, static and dynamic systems

1.6.4: Stable and unstable systems

1.7: Discrete-time LTI system

1.7.1: Convolution between finite duration sequences

1.8: Several state and deemed universities previous years questions

1.9: Time response analysis of Discrete-time LTI systems

1.9.1: Natural response

1.9.2: Forced response

1.9.3: Total response

1.10: Discrete time Fourier transform(DTFT)

1.11: Properties of DTFT

1.11.1: Points to remember

1.11.2: Linearity property and periodicity property

1.11.3: Time shifting property

1.11.4: Frequency shifting property , time reversal property and differentiation in frequency domain property

1.11.5: Convolution in time domain property, Convolution in frequency domain property and Rayleigh's energy theorem

1.12: Magnitude and phase response of a discrete time signal

1.13: Inverse Discrete time Fourier transform(IDTFT)

1.14: Frequency response of discrete time LTI systems

1.15: Introduction to Z-transform

1.16: Z transform and ROC of finite duration sequences

1.17: Z transform and ROC of infinite duration sequences

1.18: Properties of ROC of infinite duration sequences

1.19: Properties of Z transform

1.19.1: Linearity property

1.19.2: Time shifting property

1.19.3: Scaling in z domain property

1.19.4: Differentiation in z domain property

1.19.5: Convolution in time domain property

1.19.6: Time reversal property

1.20: Inverse Z transform

1.20.1: Partial fraction expansion method

1.20.2: Inverse Z transform involving logarithm functions

1.20.3: Long division method

1.21: Relation between DTFT and Z transform

1.22: Unilateral Z transform

1.23: Review of z transform of standard signals and z transform properties

1.24: Several state and deemed universities previous years questions

Unit: 2 – DFT, DFS, and FFT

2.1: Concept of DFT

2.2: Problems on DFT and IDFT

2.2.1: Problems on 4-point DFT

2.2.2: Problems on 4-point IDFT

2.2.3: Problems on 4 and 8 point DFT

2.3: Properties of DFT

2.3.1: Periodicity Property

2.3.2: Linearity Property

2.3.3: Circular shift of a sequence

2.3.4: Circular shift in time domain Property

2.3.5: Time reversal Property

2.3.6: Circular shift in frequency domain Property

2.3.7: Complex conjugate Property

2.3.8: Circular convolution in time domain Property

2.3.9: Circular convolution in frequency domain Property

2.3.10: Parseval’s theorem

2.3.11: Problems on properties of DFT

2.4: Circular convolution

2.4.1: Concentric circle method

2.4.2: The matrix method

2.4.3: DFT-IDFT method

2.5: Obtaining linear convolution from Circular convolution

2.6: Filtering of Long-duration sequences

2.6.1: Overlap save method

2.6.2: Overlap add method

2.7: Several state and deemed universities previous years questions

2.7.1: Several state and deemed universities previous years questions Part-I

2.7.2: Several state and deemed universities previous years questions Part-II

2.7.3: Several state and deemed universities previous years questions Part-III

2.8: Discrete Fourier Series (DFS)

2.8.1: Problems on DFS

2.9: Properties of Discrete Fourier Series

2.9.1: Linearity Property

2.9.2: Time shifting Property

2.9.3: Frequency shifting Property

2.9.4: Time reversal Property

2.9.5: Complex conjugate Property

2.9.6: Convolution in time domain Property

2.9.7: Multiplication in time domain Property

2.9.8: Parseval’s theorem

2.10: Several states and deemed universities' previous years questions

2.11: Fast Fourier Transform(FFT)

2.11.1: DIT FFT algorithm

2.11.1.1: Summary points of the DIT FFT algorithm

2.11.2: DIF FFT algorithm

2.11.2.1: Summary points of the DIF FFT algorithm

2.11.3: Differences and similarities between DIT FFT and DIF FFT

2.11.4: 4 point DIT FFT and DIF FFT

2.11.5: Problems on 8 point DIT FFT

2.11.6: Problems on 8 point DIF FFT

2.11.7: Problems on 4 point DIT FFT

2.11.8: Problems on 4 point DIF FFT

2.12: IDFT using Fast Fourier Transform

2.12.1: Problems with IDFT using 8 point DIT FFT

2.12.2: Problems with IDFT using 8 point DIF FFT

2.12.3: Problems on IDFT using 4 point DIT FFT

2.12.4: Problems on IDFT using 4 point DIF FFT

2.13: Several states and deemed universities' previous year's questions

2.13.1: Several states deemed universities' previous years questions Part-I

2.13.2: Several states and deemed university's previous years questions Part-II

2.13.3: Several states and deemed university's previous years questions Part-III

2.14: 16-point Fast Fourier Transform

2.14.1: 16-point DIT FFT

2.14.2: 16-point DIF FFT

Unit: 3 – IIR Digital Filters

3.1: Comparison between Analog and Digital filters

3.2: Characteristics of IIR digital filters

3.3: Steps to design IIR Digital filters

3.4: Symbols used to represent Analog and Digital filters

3.5: Butterworth Filters

3.5.1: Magnitude response of analog lowpass Butterworth filter

3.5.2: Pole locations of normalized analog lowpass Butterworth filter

3.5.3: Order of Butterworth filter

3.5.4: Relationship between cutoff frequency, passband frequency, and stopband frequencies

3.5.5: Analog lowpass Butterworth filter design

3.5.6: Formulas to remember

3.6: Analog lowpass Chebyshev filter

3.6.1: Steps to design Analog lowpass Chebyshev filter

3.6.2: Formulas to remember

3.7: Analog to analog frequency transformation techniques

3.8: Design of analog High pass filter

3.9: Analog to digital frequency transformation techniques

3.9.1: Approximation of derivatives method

3.9.2: Impulse invariant method

3.9.2.1: Many to one mapping

3.9.2.2: Problems on Impulse invariant method part-I

3.9.2.3: Problems on Impulse invariant method part-II

3.9.3: Bilinear transformation method

3.9.3.1: Warping effect

3.10: Design of Digital filters

3.10.1: Problems on Design of Digital filters problem-1

3.10.2: Problems on Design of Digital filters problem -2

3.10.3: Problems on Design of Digital filters problem -3

3.10.4: Problems on Design of Digital filters problem -4

3.11: Comparison between Butterworth and Chebyshev filters , Impulse Invariant and bilinear transformation methods

3.12: Several state and deemed universities previous years questions Part-I

3.13: Several state and deemed universities previous years questions Part-II

3.14: Several state and deemed universities previous years questions Part-III

3.15: Several state and deemed universities previous years questions Part-IV

Unit: 4 – FIR Digital Filters

4.1: Characteristics of FIR digital filters

4.2: Advantages of FIR filters over IIR filters

4.3: Phase delay and Group delay

4.4: Linear phase FIR filters

4.4.1: Case (i): Condition on Impulse response such that constant group delay and phase Delay

4.4.2: Case (ii): Condition on Impulse response such that constant group delay but not phase Delay

4.5: Frequency response of linear phase FIR filters

4.5.1: Case (i): h(n) is symmetric and N is odd

4.5.2: Case (ii): h(n) is symmetric and N is even

4.5.3: Case (iii): h(n) is anti-symmetric and N is odd

4.5.4: Case (iv): h(n) is anti-symmetric and N is even

4.6: Design of FIR filters

4.6.1: Fourier series method

4.6.2: Window method

4.6.2.1: Rectangular window

4.6.2.2: Triangular window

4.6.2.3: Raise cosine window

4.6.2.4: Hanning window

4.6.2.5: Hamming window

4.6.2.6: Blackman window

4.6.3: Problems on Window method part-I

4.6.4: Problems on Window method part-II

4.6.5: Problems on Window method part-III

4.7: Comparison between window characteristics

4.8: Comparison between IIR and FIR digital filters

4.9: Several state and deemed universities previous years questions Part-I

4.10: Several state and deemed universities previous years questions Part-II

4.11: Several state and deemed universities previous years questions Part-III

Unit: 5 – Realization of Digital filters and Multirate Digital Signal Processing

5.1: Introduction to Realization of Digital filters

5.2: IIR filter Realization structures

5.2.1: Direct form-I

5.2.2: Direct form-II

5.2.3: Cascade form

5.2.4: Parallel form

5.3: FIR filter Realization structures

5.3.1: Direct form

5.3.2: Cascade form

5.3.3: Linear phase form

5.4: Several state and deemed universities previous years questions

5.5: System function

5.6: Solution of difference equations of digital filters

5.7: Several state and deemed universities previous years questions

5.8: Multirate Digital signal Processing

5.8.1: Decimation

5.8.2: Interpolation

5.8.3: I/D sampling

5.9: Examples

5.10: Identities

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Preparing for the Digital Signal Processing subject in B.Techis not an easy task and if you are going with self-preparation it needs a lot of discipline. There is a lot of confusion about where to start and what to read. There is always a way out of this confusion and that is what this section is all about.. Read the following articles to get an idea…

Early Revision Technique

There is no substitute for early revision. You need to start early.

You really want to give yourself sufficient time to revise all that you have contemplated and ensure that you grasp it. Last moment revision is considered useless. Revise each subject as you go, and ensure that you revise it completely as this will make modification a lot more straightforward. Eventually, the best tip is to focus on and know your syllabus, and beginning early is the most effective way to accomplish this.

Vary your revision techniques

Continuously revising, for example, reading your notes regarding a topic, is probably going to be very dull. Brighten up your revision period by revising various topics and methods.

Practice old question papers

Doing revision on previous papers will test your comprehension skills. Revise all previous year's papers as much as you can.

Draw maps and keep techniques

Drawing mind maps or other synopsis charts to test what you can revise, and afterward, really look at them on your notes. Notice where you have left out a detail or where you forgot.

Take Regular breaks in between study schedule

Take regular breaks and don’t study continuously for hours. Basically, it is very hard to study for more than half an hour and keep concentrated. Find those days when you can do more and utilize that day.

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