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Signals and Systems PYQs (previous year questions) for GATE EE: Signals and Systems (Electrical Engineering) had 56 questions across the 11 official GATE EE papers we tagged (2016–2026), and appeared in 11 of them. Asked in 11 of 11 years. The concepts asked in the most papers: System Properties, Fourier Transform, Z-Transform.
Year-wise question count
Asked in 11 of 11 years.
| Year | Questions |
|---|---|
| GATE EE 2026 | 3 |
| GATE EE 2025 | 6 |
| GATE EE 2024 | 7 |
| GATE EE 2023 | 8 |
| GATE EE 2022 | 5 |
| GATE EE 2021 | 5 |
| GATE EE 2020 | 7 |
| GATE EE 2019 | 1 |
| GATE EE 2018 | 4 |
| GATE EE 2017 | 6 |
| GATE EE 2016 | 4 |
Most-asked concepts
Sorted by the number of papers a concept appeared in.
| Concept | Questions | Papers | Years |
|---|---|---|---|
| System Properties | 10 | 9 | 2025, 2024, 2023, 2022, 2021, 2020, 2019, 2017, 2016 |
| Fourier Transform | 7 | 6 | 2025, 2024, 2023, 2021, 2018, 2016 |
| Convolution | 6 | 6 | 2025, 2024, 2023, 2021, 2020, 2017 |
| Z-Transform | 6 | 6 | 2026, 2024, 2023, 2021, 2020, 2017 |
| LTI Systems | 4 | 4 | 2025, 2022, 2018, 2016 |
| Impulse Response | 3 | 3 | 2023, 2022, 2017 |
| Fourier Series | 3 | 2 | 2026, 2017 |
| Signal Energy | 3 | 2 | 2024, 2018 |
| Impulse Function | 2 | 2 | 2025, 2016 |
| Laplace Transform | 2 | 2 | 2024, 2020 |
| Sampling | 2 | 2 | 2026, 2023 |
| Discrete-Time Fourier Series | 1 | 1 | 2022 |
| Discrete-Time Fourier Transform | 1 | 1 | 2023 |
| Filter Characteristics | 1 | 1 | 2022 |
| Frequency Response | 1 | 1 | 2020 |
| Parseval's Theorem | 1 | 1 | 2025 |
| Periodicity | 1 | 1 | 2023 |
| Signal Properties | 1 | 1 | 2020 |
| Transfer Functions | 1 | 1 | 2020 |
How to practise Signals and Systems PYQs
- Start with the concepts at the top of the table. They have come back the most.
- Solve one year’s Signals and Systems questions from the official PDF against the clock, then check the answer listed below.
- Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
- Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.
Questions by year
Each line gives the question number, type, concept, our one-line summary and the official answer, with a link to the official PDF.
GATE EE2026
- Q.11 · MCQ · Z-Transform: ROC of the Z-transform of a two-sided decaying sequence (official answer: C) PDF
- Q.12 · MCQ · Sampling: Periodicity of a sampled periodic continuous-time signal (official answer: D) PDF
- Q.36 · MCQ · Fourier Series: Amplitude of a square wave from its third harmonic coefficients (official answer: B) PDF
GATE EE2025
- Q.20 · MCQ · LTI Systems: Output of a discrete LTI system with a given impulse response (official answer: A) PDF
- Q.21 · MCQ · Impulse Function: Sifting integral of a signal with a shifted impulse (official answer: A) PDF
- Q.30 · NAT · Parseval's Theorem: Mean-square value of a periodic signal over a period (official answer: 7) PDF
- Q.40 · MCQ · Convolution: Area under the convolution of two signals (official answer: A) PDF
- Q.42 · MCQ · System Properties: Stability of a system whose impulse response is a step (official answer: B) PDF
- Q.61 · NAT · Fourier Transform: Impulse response value at t = 0 for an ideal low-pass filter (official answer: 200) PDF
GATE EE2024
- Q.15 · MCQ · Convolution: Property of the convolution of a signal with its time reversal (official answer: A) PDF
- Q.16 · MCQ · Laplace Transform: ROC of the Laplace transform of a time-limited signal (official answer: A) PDF
- Q.33 · NAT · Fourier Transform: Derivative of a Fourier transform at zero frequency (official answer: 0.0) PDF
- Q.37 · MCQ · System Properties: Properties of a system defined by an integral relation (official answer: B) PDF
- Q.38 · MCQ · System Properties: Properties of two discrete-time accumulator-type systems (official answer: D) PDF
- Q.39 · MCQ · Z-Transform: Z-transform of a downsampled sequence (official answer: C) PDF
- Q.53 · NAT · Signal Energy: Energy scaling of a time-scaled, shifted, amplified signal (official answer: 2.0) PDF
GATE EE2023
- Q.17 · MCQ · Impulse Response: Impulse response of a first-order system from its ODE (official answer: C) PDF
- Q.18 · MCQ · Fourier Transform: Property of a signal with a rectangular Fourier transform (official answer: A) PDF
- Q.19 · MCQ · Z-Transform: Correct statement about a Z-transform and its region of convergence (official answer: B) PDF
- Q.27 · MSQ · System Properties: True statements on causality and stability of LTI systems (official answer: B) PDF
- Q.31 · NAT · Convolution: Time at which the convolution of two signals peaks (official answer: 4) PDF
- Q.49 · NAT · Periodicity: Fundamental period of a discrete-time signal (official answer: 48) PDF
- Q.50 · NAT · Discrete-Time Fourier Transform: Fourier series coefficient of a periodic extension of a signal (official answer: 0.037–0.039) PDF
- Q.63 · NAT · Sampling: Highest frequency after sampling and low-pass filtering (official answer: 80) PDF
GATE EE2022
- Q.11 · MCQ · Filter Characteristics: Which filter role a given second-order transfer function cannot play (official answer: B OR D) PDF
- Q.46 · MCQ · Impulse Response: Impulse response of a causal LTI system from its ODE (official answer: D) PDF
- Q.47 · MCQ · LTI Systems: Output of an LTI band-pass system for a multi-tone input (official answer: C) PDF
- Q.48 · MCQ · System Properties: Linearity and causality of a time-warping system (official answer: B) PDF
- Q.49 · MCQ · Discrete-Time Fourier Series: Signal from its discrete-time Fourier series coefficients (official answer: B) PDF
GATE EE2021
- Q.6 · MCQ · System Properties: Linearity and time variance of max(0, x) (official answer: D) PDF
- Q.7 · MCQ · Convolution: Impulse response of cascaded discrete systems (official answer: C) PDF
- Q.31 · MCQ · Z-Transform: Causal signal from a given z-transform (official answer: B) PDF
- Q.32 · MCQ · Fourier Transform: Property of an even signal from a spectral condition (official answer: A) PDF
- Q.43 · NAT · Fourier Transform: Maximum magnitude of a triangular pulse spectrum (official answer: 1) PDF
GATE EE2020
- Q.3 · MCQ · Laplace Transform: Properties of the two-sided Laplace transform (official answer: B) PDF
- Q.4 · MCQ · Z-Transform: Region of convergence of a shifted sequence (official answer: D) PDF
- Q.6 · MCQ · Signal Properties: RMS and average values of shifted and scaled signals (official answer: A) PDF
- Q.37 · MCQ · Convolution: Compare convolution of magnitudes with output (official answer: C) PDF
- Q.38 · MCQ · Transfer Functions: Nature of a system from pole-zero locations (official answer: B) PDF
- Q.39 · MCQ · System Properties: Properties of a difference equation system (official answer: C) PDF
- Q.41 · MCQ · Frequency Response: Smallest frequency at unity gain (official answer: A) PDF
GATE EE2019
- Q.7 · MCQ · System Properties: Impulse response that is not causal (official answer: C) PDF
GATE EE2018
- Q.16 · MCQ · LTI Systems: Definition of an eigenfunction of an LTI system (official answer: A) PDF
- Q.38 · MCQ · Signal Energy: Compare energies of sampled signals (official answer: A) PDF
- Q.39 · MCQ · Signal Energy: Energy of a piecewise ramp signal (official answer: D) PDF
- Q.40 · NAT · Fourier Transform: Log of signal squared at t = 1 from its transform (official answer: 9.5–10.5) PDF
GATE EE2017
- Q.3 · MCQ · Convolution: Effect of time scaling on a convolution (official answer: A) PDF
- Q.7 · MCQ · System Properties: Invertibility and time variance of a discrete system (official answer: D) PDF
- Q.16 · NAT · Fourier Series: Second harmonic coefficient of a sawtooth-like function (official answer: Marks to all) PDF
- Q.30 · MCQ · Impulse Response: Impulse response of a system from its differential equation (official answer: B) PDF
- Q.31 · MCQ · Fourier Series: Output of an ideal low-pass filter for an impulse train (official answer: C) PDF
- Q.51 · NAT · Z-Transform: Value of a modulated impulse response at n = 8 (official answer: 0.09–0.1) PDF
GATE EE2016
- Q.8 · MCQ · System Properties: Linearity and time-invariance of x(t)cos(t) (official answer: C) PDF
- Q.9 · MCQ · Impulse Function: Integral involving a scaled Dirac delta (official answer: A) PDF
- Q.34 · MCQ · Fourier Transform: Real or complex nature of signals from their spectra (official answer: C) PDF
- Q.35 · MCQ · LTI Systems: Eigen-signals of a system with real even impulse response (official answer: D) PDF
Other Electrical Engineering topics
- Electric Circuits PYQs
- Electromagnetic Fields PYQs
- Electrical Machines PYQs
- Power Systems PYQs
- Control Systems PYQs
- Electrical and Electronic Measurements PYQs
- Analog and Digital Electronics PYQs
- Power Electronics PYQs
FAQ
How many Signals and Systems questions come in GATE EE?
In the official papers we tagged: 3 in 2026, 6 in 2025, 7 in 2024, 8 in 2023, 5 in 2022, 5 in 2021, 7 in 2020, 1 in 2019, 4 in 2018, 6 in 2017 and 4 in 2016. That is 56 questions in all, about 11% of Electrical Engineering.
Which Signals and Systems topics repeat in GATE EE?
Asked in the most papers: System Properties, Fourier Transform, Z-Transform. The concept table lists every one with its count.
Are these official GATE EE questions?
Yes. Every question is from an official GATE EE paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.