# ~Archived - GATE Reference Books

Graduate Aptitude Test in Engineering (**GATE**) 2011 Syllabus

for Electronics and Communication Engineering (**EC**)

and suggested (by me) textbooks for various topics:

**Engineering Mathematics**- Linear Algebra:
- Matrix Algebra, Systems of linear equations, Eigen values and eigen vectors
- Linear Algebra (4th Edition) | Friedberg, Insel & Spence
- Calculus:
- Mean value theorems, Theorems of integral calculus, Evaluation of definite and improper integrals, Partial Derivatives, Maxima and minima, Multiple integrals, Fourier series. Vector identities, Directional derivatives, Line, Surface and Volume integrals, Stokes, Gauss and Green's theorems.
- Calculus And Analytic Geometry (9th Edition) | George Thomas & Ross Finney

- Differential equations:
- First order equation (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation of parameters, Cauchy's and Euler's equations, Initial and boundary value problems, Partial Differential Equations and variable separable method.
- Integral Calculus Including Differential Equations | B. C. Das & B. N. Mukherjee Das

- Complex variables:
- Analytic functions, Cauchy's integral theorem and integral formula, Taylor's and Laurent' series, Residue theorem, solution integrals.
- Complex Variables and Applications (8th Edition)| James Ward Brown & Ruel Churchill

- Probability and Statistics:
- Sampling theorems, Conditional probability, Mean, median, mode and standard deviation, Random variables, Discrete and continuous distributions, Poisson, Normal and Binomial distribution, Correlation and regression analysis.
- John E. Freund's Mathematical Statistics With Applications (7th Edition) | Irwin Miller & Marylees Miller

- Numerical Methods:
- Solutions of non-linear algebraic equations, single and multi-step methods for differential equations.
- Applied Numerical Methods for Engineers using MATLAB and C | Robert Schilling & Sandra Harries

- Transform Theory:
- Fourier transform
- Laplace transform
- Z-transform
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar

- Linear Algebra:
**Electronics and Communication Engineering**- Networks:
- Network graphs:
- matrices associated with graphs; incidence, fundamental cut set and fundamental circuit matrices.
- Graph Theory with Applications to Engineering and Computer Science | Narsingh Deo

- Solution methods:
- nodal and mesh analysis.
- Hughes Electrical And Electronic Technology | Edward Hughes & Ian Mckenzie Smith

- Network theorems: superposition, Thevenin and Norton's, maximum power transfer, Wye-Delta transformation.Steady state sinusoidal analysis using phasors.
- Hughes Electrical And Electronic Technology | Edward Hughes & Ian Mckenzie Smith
- Linear constant coefficient differential equations; time domain analysis of simple RLC circuits
- Network Analysis And Synthesis (2nd Edition) | Franklin Kuo
- Solution of network equations using Laplace transform:
- frequency domain analysis of RLC circuits.
- Network Analysis And Synthesis (2nd Edition) | Franklin Kuo

- 2-port network parameters:
- driving point and transfer functions. State equations for networks.

- Network graphs:
- Electronic Devices:
- Energy bands in silicon, intrinsic and extrinsic silicon. Carrier transport in silicon: diffusion current, drift current, mobility, and resistivity. Generation and recombination of carriers. p-n junction diode, Zener diode, tunnel diode, BJT, JFET, MOS capacitor, MOSFET, LED, p-I-n and avalanche photo diode, Basics of LASERs.
- Electronic Circuits: Analysis and Design | Donald Neamen

- Device technology:
- integrated circuits fabrication process, oxidation, diffusion, ion implantation, photolithography, n-tub, p-tub and twin-tub CMOS process.
- CMOS Digital Integrated Circuits (3rd Edition) | Sung-Mo Kang & Yusuf Leblebici

- Analog Circuits:
- Small Signal Equivalent circuits of diodes, BJTs, MOSFETs and analog CMOS.
- Simple diode circuits, clipping, clamping, rectifier.
- Biasing and bias stability of transistor and FET amplifiers.
- Amplifiers:
- single-and multi-stage, differential and operational, feedback, and power. Frequency response of amplifiers. Simple op-amp circuits. Filters. Sinusoidal oscillators; criterion for oscillation; single-transistor and op-amp configurations. Function generators and wave-shaping circuits,

- 555 Timers.
- Power supplies.

- Digital circuits:
- Boolean algebra, minimization of Boolean functions; logic gates; digital IC families (DTL, TTL, ECL, MOS, CMOS). Combinatorial circuits: arithmetic circuits, code converters, multiplexers, decoders, PROMs and PLAs. Sequential circuits: latches and flip-flops, counters and shift-registers. Sample and hold circuits, ADCs, DACs. Semiconductor memories.
- Digital Design: Principles And Practices (4th Edition) | John Wakerly

- Microprocessor(8085):
- architecture, programming, memory and I/O interfacing.
- Microprocessor Architecture, Programming, And Applications With The 8085 (5th Edition) | Ramesh Gaonkar

- Signals and Systems:
- Definitions and properties of Laplace transform
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- continuous-time and discrete-time Fourier series
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- continuous-time and discrete-time Fourier Transform
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- DFT and FFT
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- z-transform
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- Sampling theorem
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar
- Linear Time-Invariant (LTI) Systems:
- definitions and properties
- causality
- stability
- impulse response
- convolution
- poles and zeros
- parallel and cascade structure
- frequency response
- group delay
- phase delay
- Signal transmission through LTI systems.
- Analog And Digital Signal Processing (2nd Edition) | Ashok Ambardar

- Control Systems:
- Basic control system components; block diagrammatic description, reduction of block diagrams.
- Open loop and closed loop (feedback) systems and stability analysis of these systems.
- Signal flow graphs and their use in determining transfer functions of systems; transient and steady state analysis of LTI control systems and frequency response.
- Tools and techniques for LTI control system analysis: root loci, Routh-Hurwitz criterion, Bode and Nyquist plots.
- Control system compensators:
- elements of lead and lag compensation,
- elements of Proportional-Integral-Derivative (PID) control.
- Modern Control Engineering (5th Edition) | Katsuhiko Ogata

- State variable representation and solution of state equation of LTI control systems.
- Digital Control: A State-Space Approach | Richard J. Vaccaro

- Communications:
- Random signals and noise:
- probability, random variables, probability density function

- autocorrelation, power spectral density.
- Analog communication systems:
- amplitude and angle modulation and demodulation systems, spectral analysis of these operations, superheterodyne receivers; elements of hardware, realizations of analog communication systems; signal-to-noise ratio (SNR) calculations for amplitude modulation (AM) and frequency modulation (FM) for low noise conditions.

- Fundamentals of information theory and channel capacity theorem.
- Digital communication systems:
- pulse code modulation (PCM), differential pulse code modulation (DPCM)
- digital modulation schemes: amplitude, phase and frequency shift keying schemes (ASK, PSK, FSK), matched filter receivers, bandwidth consideration and probability of error calculations for these schemes.

- Basics of TDMA, FDMA and CDMA and GSM.

- Random signals and noise:
- Electromagnetics:
- Elements of vector calculus:
- divergence and curl; Gauss' and Stokes' theorems,
- Calculus And Analytic Geometry (9th Edition) | George Thomas & Ross Finney

- Maxwell's equations:
- differential and integral forms.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain

- Wave equation, Poynting vector.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain
- Plane waves:
- propagation through various media; reflection and refraction
- phase and group velocity; skin depth.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain

- Transmission lines:
- characteristic impedance; impedance transformation;
- Smith chart; impedance matching;
- S parameters, pulse excitation.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain

- Waveguides:
- modes in rectangular waveguides; boundary conditions; cut-off frequencies; dispersion relations.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain

- Basics of propagation in dielectric waveguide.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain
- Basics of propagation in optical fibers.
- Optical Fiber Communications: Principles and Practice | John Senior
- Basics of Antennas:
- Dipole antennas; radiation pattern; antenna gain.
- Electromagnetic Waves and Radiating Systems | Jordan & Balmain

- Networks: