As you have asked about the syllabus for IIIT, Hyderabad Postgraduate Entrance Examination (PGEE) for Electronics and Communication stream, check below for the information

Exam Pattern:
The entrance examination consists of two papers: (No negative marking)
Paper I : General aptitude paper Objective
Paper II : Objective paper (Paper II)

Paper I (General Aptitude)
Duration: 90 minutes
This is objective type question paper and will put emphasis on on basic aptitude, logical reasoning, basic questions on computers and mathematics.

Paper II is subject paper. Based on the graduation, contender has to appear for relevant subject papers.
Electronics and Communications Engineering: (Objective and Subjective) Duration : 1 1/2 hours

There will be equal number of questions from Electronics (part-A) and from Signal processing and Communication (part-B). One should attempt questions from both parts in the stipulated time. selection for the interview will be based on the combined score in the two parts.
Part A - Electronics:

Networks: Nodal and mesh analysis, Wye-Delta transformation, steady state sinusoidal analysis, time and frequency domain analysis of RLC circuits, Laplace transformations, 2-port networks, Transfer functions.

Electronic Devices: Theory and Characteristics of Diodes such as Junction and Zener etc, Transistors such as BJT, JFET, and MOSFET etc, Photodiodes.

Analog Circuits: Small signal models and applications of diodes, BJTs, MOSFETs, Biasing of transistors, Types of Amplifiers, Op-amp circuits, Filters, Oscillators, Function generators and wave-shaping circuits.

Digital circuits: Boolean algebra, logic gates, Logic families, combinational, arithmetic, memory and sequential circuits, ADC, Microprocessors and Microcontrollers.

Control Systems: Components of control systems, Open and closed loop control systems, stability analysis, Routh-Hurwitz Criteria, Signal flow graphs, transient and steady state analysis of LTI control systems including frequency response, Root loci, Bode and Nyquist plots, lead and lag compensation, PID control.

Part B - Signal Processing and Communications:

Signals and Systems: Classification of signals, LTI system analysis, System properties, Fourier Series, Fourier Transform, discrete time Fourier series , Laplace Transform, Z-transform, System transfer function, Fourier analysis of LTI systems, Sampling theorem.

Probability theory and random processes: random variables, probability distribution function, probability density function, conditional probability, Bayes theorem, central limit theorem, functions of random variables, random processes, stationary random processes, auto-correlation and cross-correlation functions, power spectrum.

Communication Theory: Analog and Digital Modulation and demodulation, Superheterodyne Receivers, Quantization, Line Coding, Matched filters, Receiver structures in the presence of AWGN, Probability of error.

Digital Signal Processing: Discrete Fourier transform, FFT, Z-transform, Z-domain analysis of LTI systems, Circular convolution, Design of digital IIR and FIR filters.

Electromagnetics: Basics of Electromagnetics, Vector calculus, Maxwell’s equations, Wave equation, Transmission lines, matching networks, S-parameters, Basics of waveguides, optical fibers, and Antennas