GATE EE 2023 | Continuous and Discrete Time Signals Question 3 | Signals and Systems

GATE EE 2023

Numerical

-0.67

The period of the discrete-time signal $$x[n]$$ described by the equation below is $$N=$$ __________ (Round off to the nearest integer).

$$x[n] = 1 + 3\sin \left( {{{15\pi } \over 8}n + {{3\pi } \over 4}} \right) - 5\sin \left( {{\pi \over 3}n - {\pi \over 4}} \right)$$

Your input ____

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

-0.6

The function shown in the figure can be represented as GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 5 English

GATE EE 2014 Set 1 Signals and Systems - Continuous and Discrete Time Signals Question 5 English

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-\left(\frac{t-2T}T\right)u\left(t-2T\right)$$

$$u\left(t\right)+\frac tTu\left(t-T\right)-\frac tTu\left(t-2T\right)$$

$$u\left(t\right)-u\left(t-T\right)+\frac{\left(t-T\right)}Tu\left(t\right)-\left(\frac{t-2T}T\right)u\left(t\right)$$

$$u\left(t\right)+\frac{\left(t-T\right)}Tu\left(t-T\right)-2\frac{\left(t-2T\right)}Tu\left(t-2T\right)$$

GATE EE 2007

MCQ (Single Correct Answer)

-0.6

If u(t), r(t) denote the unit step and unit ramp functions respectively and u(t)*r(t) their convolution, then the function u(t+1)*r(t-2) is given by

(1/2)(t-1)(t-2)

(1/2)(t-1)²u(t-1)

none of the above

GATE EE Subjects

Electric Circuits

Network Elements Network Theorems Three Phase Circuits Transient Response Sinusoidal Steady State Analysis Graph Theory Two Port Networks

Electromagnetic Fields

Time Varying Fields Electrostatics Magnetostatics

Signals and Systems

Continuous and Discrete Time Signals Linear Time Invariant Systems Continuous Time Signal Fourier Transform Discrete Time Signal Z Transformation Continuous Time Signal Laplace Transform Sampling Theorem Continuous Time Periodic Signal Fourier Series Miscellaneous

Electrical Machines

Induction Machines D.C Machines Synchronous Machines Transformers

Engineering Mathematics

Calculus Vector Calculus Linear Algebra Differential Equations Probability and Statistics Transform Theory Complex Variable Numerical Methods

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Power System Analysis

Parameters and Performance of Transmission Lines Power Generation Cost Power System Stability Symmetrical Components and Symmetrical and Unsymmetrical Faults Circuit Breaker Switch Gear and Protection Per Unit System Load Flow Studies High Voltage Dc Transmission Generating Power Station

Electrical and Electronics Measurement

Basic of Indicating Instruments Error Analysis and Measurement Measurement of Resistance and A.C Bridges Measurement of Energy and Power Digital Voltmeters Questions Potentiometer and Instrument Transformers Cathode Ray Oscilloscope

Analog Electronics

Diode Circuits and Applications Frequency Response Bjt and Mosfet Biasing 555 Timer Feedback Amplifiers and Oscillator Circuits Operational Amplifier Small Signal Modeling

Control Systems

Time Response Analysis Block Diagram and Signal Flow Graph Polar Nyquist and Bode Plot State Variable Analysis Root Locus Techniques Basics of Control System Routh Hurwitz Stability Controller and Compensator

Power Electronics

Choppers and Commutation Techniques Single and Three Phase Rectifier Power Semiconductor Devices Ac Voltage Controllers Inverters

Digital Electronics

Boolean Algebra Logic Gates Combinational Circuits Minimization Logic Families and Memories Sequential Circuits Analog to Digital and Digital to Analog Converter Microprocessor