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Frequency response of first and second...

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GATE EC

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Signals and Systems

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Frequency response of first and second order linear time invariant systems
Analog Electronics
Applications of Fourier Transform for continuous and discrete time signals
Characteristic of Signals
Continuous-Time Signal Representation and Area Under a Signal
Convolution
Convolution of Signals
DFT and FFT
Digital Filters
Digital Signal Processing
Discrete Fourier Transform (DFT) and Discrete Fourier Series (DFS)
Discrete Time Fourier Transform (DTFT)
Discrete time system
Elementary Signal Operations (Time Reversal, Shifting and Scaling)
Energy Signals - Time Scaling and Amplitude Scaling
Fast Fourier Transform (FFT)
Fourier Series
Fourier Series (Trigonometric Fourier Series of Periodic Waveforms)
Fourier Transform
Fourier Transform - Energy Spectral Density and Bandwidth
Fourier Transform of Periodic Signals
Fourier series representation of continuous and discrete time periodic signals
IIR and FIR filter
Impulse response of systems
LTI Systems - Linearity, Time Invariance and Causality
LTI Systems Described by Linear Constant Coefficient Differential Equation
LTI systems
Laplace Transform
Laplace Transform - Convolution and Time-Shift Properties
Laplace Transform Properties (Convolution and Time-shift)
Laplace Transform and Z transform
Laplace Transform of Standard Signals
Laplace, Fourier and z-transforms
Linear time invariant and causal systems
Operation on Signals
Periodic, aperiodic and impulse signals
Properties of Fourier Series
Properties of Region of Convergence
Pulse Code Modulation - Sampling and Quantization
Pulse Digital Modulation
R.M.S. value
Region of Convergence of a Causal System
Representation of continuous and discrete time signals
Sampling
Sampling Theorem
Sampling Theorem and Nyquist Rate
Sampling Theorems
Sensors Transducers and Applications
Signals
Signals and Systems
System Properties
System Properties: Linearity and Time Invariance
Transfer Function From Block Diagram Representation
Transfer Function From Differential Equation
Transfer function
Z-Transform - Stability and Causality (Pole Locations)
Zener Diodes

List of top Signals and Systems Questions on Frequency response of first and second order linear time invariant systems

The frequency response $H(f)$ of a linear time-invariant system has magnitude as shown in the figure.

Statement I: The system is necessarily a pure delay system for inputs which are bandlimited to $-\alpha \le f \le \alpha$.
Statement II: For any wide-sense stationary input process with power spectral density $S_X(f)$, the output power spectral density $S_Y(f)$ obeys $S_Y(f) = S_X(f)$ for $-\alpha \le f \le \alpha$.
Which one of the following combinations is true?

GATE EC - 2022
GATE EC
Signals and Systems
Frequency response of first and second order linear time invariant systems