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Spectral density of white noise:
- a)is constant
- b)Varies with frequency
- c)varies with bandwidth
- d)varies with amplitude of the signal
Correct answer is option 'A'. Can you explain this answer?
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Spectral density of white noise:a)is constantb)Varies with frequencyc)...
Constant Spectral Density of White Noise
White noise is a type of random signal with a constant power spectral density across all frequencies. This means that the power of white noise is distributed evenly across the frequency spectrum.
Explanation:
- Definition: White noise is a signal that has equal power at all frequencies, resulting in a flat power spectral density.
- Constant Power Spectral Density: The spectral density of white noise remains constant regardless of the frequency. This is because white noise has equal power at all frequencies, leading to a flat frequency response.
- Mathematically: In the frequency domain, the spectral density of white noise is represented by a horizontal line, indicating that the power remains the same across all frequencies.
- Implications: The constant spectral density of white noise makes it useful in various applications such as signal processing, communication systems, and testing equipment.
- Comparison: In contrast to other types of noise (e.g., pink noise, brown noise), white noise stands out for its constant spectral density.
- Practical Significance: Understanding the constant spectral density of white noise helps in analyzing and processing signals effectively in different engineering fields.
In conclusion, the spectral density of white noise is constant, which means that it does not vary with frequency, bandwidth, or amplitude of the signal. This characteristic makes white noise unique and valuable in various engineering applications.
White noise is a type of random signal with a constant power spectral density across all frequencies. This means that the power of white noise is distributed evenly across the frequency spectrum.
Explanation:
- Definition: White noise is a signal that has equal power at all frequencies, resulting in a flat power spectral density.
- Constant Power Spectral Density: The spectral density of white noise remains constant regardless of the frequency. This is because white noise has equal power at all frequencies, leading to a flat frequency response.
- Mathematically: In the frequency domain, the spectral density of white noise is represented by a horizontal line, indicating that the power remains the same across all frequencies.
- Implications: The constant spectral density of white noise makes it useful in various applications such as signal processing, communication systems, and testing equipment.
- Comparison: In contrast to other types of noise (e.g., pink noise, brown noise), white noise stands out for its constant spectral density.
- Practical Significance: Understanding the constant spectral density of white noise helps in analyzing and processing signals effectively in different engineering fields.
In conclusion, the spectral density of white noise is constant, which means that it does not vary with frequency, bandwidth, or amplitude of the signal. This characteristic makes white noise unique and valuable in various engineering applications.
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Community Answer
Spectral density of white noise:a)is constantb)Varies with frequencyc)...
White noise is that signal whose frequency spectrum is uniform i.e. it has flat spectral density.
The power spectral density (PSD) of white noise is uniform throughout the frequency spectrum as shown:
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Spectral density of white noise:a)is constantb)Varies with frequencyc)varies with bandwidthd)varies with amplitude of the signalCorrect answer is option 'A'. Can you explain this answer?
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