GATE ECE 2004 | Discrete Time Signal Z Transform Question 27 | Signals and Systems

The z transform of a system is
H(z) = $${z \over {z - 0.2}}$$ .
If the ROC is $$\left| {z\,} \right|$$ < 0.2, then the impulse response of the system is

$${(0.2)^n}\,u\left[ n \right]$$

$${(0.2)^n}\,u\left[ { - n - 1} \right]$$

$$ - {(0.2)^n}\,u\left[ n \right]$$

$$ - {(0.2)^n}\,u\left[ { - n - 1} \right]$$

GATE ECE 2001

MCQ (Single Correct Answer)

-0.3

The region of convergence of the z- transform of a unit step function is

$$\left| {z\,} \right| > 1$$

$$\left| {z\,} \right| < 1$$

(Real part of z )> 0

(Real part of z )< 0

GATE ECE 1999

MCQ (Single Correct Answer)

-0.3

The z-transform F(z) of the function f(nT) = $${a^{nT}}$$ is

$${z \over {z - {a^T}}}$$

$${z \over {z + {a^T}}}$$

$${z \over {z - {a^{ - T}}}}$$

$${z \over {z + {a^{ - T}}}}$$

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

The z - transform of the time function $$\sum\limits_{k = 0}^\infty {\delta \left( {n - k} \right)} $$ is

$$(z - 1)/z$$

$$z/{(z - 1)^2}$$

$$z/(z - 1)$$

$${(z - 1)^2}/z$$

GATE ECE Subjects

Network Theory

Network Elements Network Theorems Transient Response Sinusoidal Steady State Response Two Port Networks Network Graphs State Equations For Networks Miscellaneous

Control Systems

Signal Flow Graph and Block Diagram Time Response Analysis Compensators Basic of Control Systems Frequency Response Analysis Stability Root Locus Diagram State Space Analysis

Electronic Devices and VLSI

Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET

Analog Circuits

Diodes Bipolar Junction Transistor Frequency Response FET and MOSFET Oscillators Operational Amplifier Feedback Amplifier Power Amplifier 555 Timer

Digital Circuits

Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters

Microprocessors

Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085

Signals and Systems

Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform

Communications

Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise

Electromagnetics

Waveguides Antennas Miscellaneous Transmission Lines Maxwell Equations Uniform Plane Waves

General Aptitude

Numerical Ability Verbal Ability

Engineering Mathematics

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