Aspiring engineers who are preparing for the Graduate Aptitude Test in Engineering (GATE) understand the significance of thorough preparation and comprehensive study resources.

Through a meticulous examination of previous yearsâ€™ question papers, we aim to provide you with valuable insights, key trends, and effective strategies to excel in Signal and System for your GATE exam.

## GATE EC Syllabus for the Subject Signal and System

Continuous-time Signals: Fourier series and Fourier transform, sampling theorem and applications.

Discrete-time Signals: DTFT, DFT, z-transform, discrete-time processing of continuous-time signals.

LTI systems: definition and properties, causality, stability, impulse response, convolution, poles and zeroes, frequency response, group delay, phase delay.

## Analysis of Previous GATE Papers for Signal and System

Year | Percentage of Marks |
---|---|

2023 | 10% |

2022 | 6 % |

2021 | 10 % |

2020 | 8 % |

2019 | 8% |

2018 | 7 % |

2017 | 9.5% |

2016 | 9% |

2015 | 9 % |

2014 | 11 % |

2013 | 11% |

## Recent GATE Paper Questions of Signal and System

The following questions have been asked from Signal and System , in GATE-EC 2023

Q. Consider a system with input x(t) and output y(t) = x(e^{t}). The system is

a) Causal and time invariant.

b) Non-causal and time varying.l

c) Causal and time varymg.

d) Non-causal and time Invariant.

Q. Consider a discrete-time periodic signal with period N =5. Let the discrete-time Fourier series (DTFS) representation be

x[n]=\sum_{k=0}^{4}a_{k}e^{\frac{jk2n\pi }{5}} , where a_{0} = 1, a_{1} = 3j, a_{2} = 2j, a_{3} = -2j and a_{4} = -3j .

The value of the \sum_{k=0}^{4}x[n ]sin\frac{4\pi n}{5}=0 is

a) -10

b) 10

c) -2

d) 2

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