GATE ECE (Electronics and Communication Engineering) is one of the most popular GATE papers. It is used for admissions to M.Tech/M.S programs at IITs, NITs, and IISc, and for recruitment in PSUs like BHEL, BSNL, DRDO, BEL, and ISRO.
ENGINEERING MATHEMATICS (15% weightage):
Linear Algebra: matrices, eigenvalues, systems of equations
Calculus: limits, continuity, differentiation, integration, series
Differential Equations: first-order, higher-order, Laplace transforms
Complex Analysis: analytic functions, Cauchy's theorem, residues
Probability: distributions (binomial, Poisson, normal), expectation, variance
NETWORKS (10% weightage):
KCL and KVL | Thevenin and Norton equivalents
Superposition, source transformation
Transient analysis: RL, RC, RLC circuits
Steady-state AC: phasors, impedance, resonance, power factor
Two-port networks: z, y, h, ABCD parameters
ELECTRONIC DEVICES (10% weightage):
Energy bands, carriers, drift/diffusion
PN junction: I-V characteristics, breakdown, capacitance
BJT: biasing, small signal model (hybrid-pi), CE/CB/CC configurations
MOSFET: NMOS/PMOS, threshold voltage, drain characteristics, small signal model
ANALOG CIRCUITS (10% weightage):
Op-amp characteristics: virtual ground, feedback, stability
Inverting/non-inverting/summing/differential amplifiers
Active filters: low pass, high pass, band pass using op-amps
Oscillators: Wein bridge, Hartley, Colpitts, crystal
Diode circuits: clipper, clamper, rectifier, voltage regulator (Zener)
DIGITAL CIRCUITS (10% weightage):
Boolean algebra: minimisation (K-map, Quine-McCluskey)
Combinational: gates, MUX, DEMUX, encoders, decoders, adders
Sequential: latches (SR, D), flip-flops (JK, T), counters, shift registers
ADC and DAC: types, resolution, speed tradeoffs
Memory: RAM (SRAM, DRAM), ROM, flash types
CONTROL SYSTEMS (10% weightage):
Transfer function, block diagram, signal flow graph (Mason's rule)
Time response: first and second order, step response, specifications
Stability: Routh-Hurwitz, Nyquist, Bode plot, gain margin, phase margin
Root locus: construction rules, PID control design
COMMUNICATIONS (10% weightage):
Amplitude modulation: DSB-SC, SSB, VSB, AM — bandwidth and power
Frequency modulation: FM, PM, Bessel functions, Carson's rule
Sampling: Nyquist rate, aliasing, reconstruction
Digital communications: PCM, quantisation noise, line codes
Noise in analog/digital: SNR, AWGN, BER formulas
ELECTROMAGNETICS (10% weightage):
Electrostatics: Coulomb, Gauss, potential, energy, capacitance
Magnetostatics: Biot-Savart, Ampere, inductance
Maxwell's equations: differential and integral form
Wave propagation: plane waves, skin effect, Poynting vector
Transmission lines: standing waves, VSWR, Smith chart (basics)
SIGNALS AND SYSTEMS (10% weightage):
Classification: linear, time-invariant, causal, stable
Fourier series: coefficients, properties, Parseval's theorem
Fourier transform: properties, convolution, correlation
Laplace transform: ROC, initial/final value theorem
Z-transform: ROC, inverse, sampling theorem