**Syllabus of GTU Digital Signal Processing 7th Sem EC**

**GUJARAT TECHNOLOGICAL UNIVERSITY**

**Electronics & Communication Engineering**

**B. E. SEMESTER: VII**

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**Subject Name: ****Digital Signal Processing**

**Subject Code: ****171003**

1. **Introduction:**

Signals, systems and signal processing, classification of signals, elements

of digital signal processing system, concept of frequency in continuous and

discrete time signals, Periodic Sampling, Frequency domain representation

of sampling, Reconstructions of band limited signals from its samples,

general applications of DSP

2. **Discrete-Time Signals and Systems:**

Discrete-Time Signals, Discrete-Time Systems, LTI Systems, Properties

of LTI Systems, linear convolution and its properties, Linear Constant Coefficient

Difference equations,. Frequency domain representation of

Discrete-Time Signals & Systems, Representation of sequences by

discrete time Fourier Transform, (DTFT), Properties of discrete time

Fourier Transform, and correlation of signals, Fourier Transform

Theorems.

3. **The Z- Transform and Analysis Linear Time-of Invariant System:**

Z-Transform, Properties of ROC for Z-transform, the inverse Z-transform

methods, Z- transforms properties, Analysis of LTI systems in time domain

and stability considerations. Frequency response of LTI system, System

functions for systems with linear constant-coefficient Difference equations,

Freq. response of rational system functions relationship between

magnitude & phase, All pass systems, inverse systems,

Minimum/Maximum phase systems, systems with linear phase.

4. **Structures for Discrete Time Systems:**

Block Diagram and signal flow diagram representations of Linear

Constant-Coefficient Difference equations, Basic Structures of IIR

Systems, Transposed forms, Direct and cascade form Structures for FIR

Systems, Effects of Co-efficient quantization.

5. **Filter Design Techniques:**

Design of Discrete-Time IIR filters from Continuous-Time filters-

Approximation by derivatives, Impulse invariance and Bilinear

Transformation methods; Design of FIR filters by windowing techniques,

Illustrative design examples of IIR and filters.

6. **Discrete-Fourier Transform:**

Representation of Periodic sequences: The discrete Fourier Series and its

Properties Fourier Transform of Periodic Signals, Sampling the Fourier

Transform, The Discrete-Fourier Transform, Properties of DFT, Linear

Convolution using DFT.

7. **Fast Fourier Transform:**

FFT-Efficient Computation of DFT, Goertzel Algorithm, radix2 and radix 4

Decimation-in-Time and Decimation-in-Frequency FFT Algorithms.

8. **Architecture of DSP Processors- :**

Harward architecture, pipelining, Multiplier-accumulator (MAC) hardware,

architectures of fixed and floating point (TMSC6000) DSP processors.

**Text Books**:

1. “Digital Signal Processing: Principles, Algorithm & Application”,4th edition,Proakis,

Manolakis, Proakis, Manolakis, Pearson

2. “Discrete Time Signal Processing”:Oppeheim, Schafer, Buck Pearson education

publication, 2nd Edition, 2003.

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**Reference Books:**

1. Digital Signal Processing fundamentals and applications, Li Tan , Elsevier

2. Fundamentals of digital Signal Processing –Lonnie c.Ludeman, Wiley

3. Digital Signal processing-A Practical Approach ,second edition, Emmanuel

Ifeacher, and Barrie W..Jervis, Pearson Education.

4. Digital Signal Processing, S.Salivahanan, A.Vallavaraj, C.Gnapriya TMH

5. Digital Signal Processors, Architecture, programming and applications by B. Venkatramani, M Bhaskar, Mc-Graw Hill

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