The bandwidth of a signal refers to the range of frequencies it occupies. It determines the amount of frequency spectrum the signal uses, which is essential in communication systems for data transmission and filtering.
What does stability in a system mean?
A Unbounded output
B Bounded output for bounded input
C Non-linear behavior
D Output depends on future inputs
Stability in a system means that for any bounded input, the output will also remain bounded. This ensures that the system behaves predictably and does not result in runaway or unstable outputs.
What does the frequency spectrum of a signal represent?
A Amplitude variations
B Time duration
C Power of signal
D Range of frequencies
The frequency spectrum of a signal shows the distribution of the signal’s energy across different frequencies. This representation helps in analyzing the signal’s composition and is used in filtering, modulation, and communication systems.
What does the term “bandwidth” imply in signal processing?
A Signal power
B Signal duration
C Range of frequencies occupied by the signal
D Highest frequency of the signal
Bandwidth refers to the range of frequencies a signal occupies in the frequency domain. It is a critical factor in communication systems as it defines the amount of data that can be transmitted per unit of time.
Which of the following is true for a stable system?
A Output increases with time
B Output is bounded for any bounded input
C Output is non-linear
D Output depends on future inputs
A stable system guarantees that if the input signal is bounded, the output will also be bounded. This ensures the system will not experience runaway behavior and will remain reliable over time.
What is the purpose of a low pass filter in signal processing?
A Allow high frequencies
B Amplify high frequencies
C Block low frequencies
D Allow low frequencies
A low pass filter allows signals with frequencies below a certain cutoff frequency to pass through while attenuating higher frequencies. This is useful in applications like noise reduction and smoothing out signals.
What is the main function of a system’s frequency response?
A Calculate system’s bandwidth
B Predict system’s output for sinusoidal inputs
C Analyze time domain behavior
D Determine system stability
The frequency response of a system shows how the system behaves when subjected to sinusoidal inputs at various frequencies. It helps in analyzing the system’s behavior across different frequency components of an input signal.
Which of the following defines a system with a frequency spectrum?
A Time domain signal
B Signal power
C Range of frequencies
D Bounded output
The frequency spectrum of a signal represents the range of frequencies that the signal occupies. It helps in analyzing the distribution of energy across the different frequency components and is vital for filtering and communication analysis.
What does a high pass filter do?
A Attenuates low frequencies
B Passes high frequencies
C Blocks high frequencies
D Amplifies low frequencies
A high pass filter allows high frequency signals to pass through while attenuating lower frequencies. It is used to remove low frequency noise or unwanted components from a signal, allowing high frequency signals to be more prominent.
What does a linear system ensure regarding its output?
A Output is proportional to the input
B Output is unpredictable
C Output is random
D Output is dependent on future inputs
A linear system ensures that the output is directly proportional to the input. This means that scaling the input by a factor results in the output being scaled by the same factor, making it predictable and easy to analyze.
What does the term “signal modulation” mean?
A Signal filtering
B Signal reconstruction
C Changing frequency or phase of a signal
D Changing signal amplitude
Signal modulation involves varying the amplitude, frequency, or phase of a carrier signal to encode information. This allows the signal to be transmitted over longer distances and avoids interference from other signals.
What does the Nyquist theorem state regarding sampling rates?
A Sampling rate depends on the signal’s amplitude
B Sampling rate must be at least twice the highest frequency
C Sampling rate should be equal to the signal’s bandwidth
D Sampling rate can be less than the signal’s highest frequency
The Nyquist theorem states that to avoid aliasing, the sampling rate must be at least twice the highest frequency component of the signal. This ensures that all the information in the original signal is preserved when converted to digital form.
What is the role of an impulse response in system analysis?
A Predict system’s output for any input
B Measure system bandwidth
C Characterize system’s stability
D Analyze system behavior for periodic inputs
The impulse response of a system is crucial for predicting the output for any arbitrary input by convolving the input with the system’s impulse response. This helps analyze how the system will behave in response to various signals.
What is the effect of noise in a signal?
A Signal attenuation
B Amplification of signal
C Increasing frequency spectrum
D Distortion of the original signal
Noise refers to unwanted random fluctuations or interference that distort the original signal. It can degrade the quality of the signal, making it more difficult to detect or process. Various noise reduction techniques are used to mitigate its effects.
What does the term “system stability” primarily refer to?
A Output remaining within bounds
B Response to random signals
C Frequency spectrum of the system
D Response to sinusoidal inputs
Stability refers to the system’s ability to produce a bounded output for any bounded input. This means that no matter how large or small the input is, the system’s output will remain within acceptable limits without becoming unmanageable.