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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?
- a)20 times Nyquist rate
- b)5 times Nyquist rate
- c)10 times Nyquist rate
- d)40 times Nyquist rate
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A sinusoidal signal whose peak-peak amplitude is 6 V is modulated usin...
2A = 6V ⇒ A = 3V
In order to overcome slope over load distortion in delta modulator
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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated usin...
Sampling Rate for Delta Modulation
Delta modulation is a type of analog-to-digital conversion technique that converts an analog signal into a digital signal using a one-bit delta-sigma modulator. In delta modulation, the amplitude of the input signal is compared with a fixed step size, and the output is a series of binary digits representing the difference between the input and the previous output.
Preventing Slope Overload Distortion
One of the main issues with delta modulation is slope overload distortion, which occurs when the slope of the input signal is greater than the step size. To prevent slope overload distortion, the sampling rate should be high enough to capture the highest frequency component of the input signal.
Nyquist Rate
The Nyquist rate is the minimum sampling rate required to accurately capture a signal without loss of information. In delta modulation, the sampling rate should be at least twice the highest frequency component of the input signal to prevent aliasing.
Calculation
In this question, the peak-peak amplitude of the sinusoidal signal is 6 V, which means the maximum amplitude is 3 V. The step size is given as 0.942 V. To prevent slope overload distortion, the sampling rate should be such that the maximum slope of the input signal is less than the step size.
The maximum slope of a sine wave is at its peak, and its value is equal to the amplitude multiplied by the frequency. Therefore,
Maximum slope = 3 V × 2πf
To prevent slope overload distortion, the maximum slope should be less than the step size. Therefore,
3 V × 2πf < 0.942="" />
Solving for f, we get
f < 0.942/(3="" ×="" 2π)="" />
f < 0.05="" />
The Nyquist rate for a signal with a maximum frequency of 0.05 Hz is twice that frequency, or 0.1 Hz. Therefore,
Sampling rate = 10 times Nyquist rate = 1 Hz
Hence, the correct answer is option C.
Delta modulation is a type of analog-to-digital conversion technique that converts an analog signal into a digital signal using a one-bit delta-sigma modulator. In delta modulation, the amplitude of the input signal is compared with a fixed step size, and the output is a series of binary digits representing the difference between the input and the previous output.
Preventing Slope Overload Distortion
One of the main issues with delta modulation is slope overload distortion, which occurs when the slope of the input signal is greater than the step size. To prevent slope overload distortion, the sampling rate should be high enough to capture the highest frequency component of the input signal.
Nyquist Rate
The Nyquist rate is the minimum sampling rate required to accurately capture a signal without loss of information. In delta modulation, the sampling rate should be at least twice the highest frequency component of the input signal to prevent aliasing.
Calculation
In this question, the peak-peak amplitude of the sinusoidal signal is 6 V, which means the maximum amplitude is 3 V. The step size is given as 0.942 V. To prevent slope overload distortion, the sampling rate should be such that the maximum slope of the input signal is less than the step size.
The maximum slope of a sine wave is at its peak, and its value is equal to the amplitude multiplied by the frequency. Therefore,
Maximum slope = 3 V × 2πf
To prevent slope overload distortion, the maximum slope should be less than the step size. Therefore,
3 V × 2πf < 0.942="" />
Solving for f, we get
f < 0.942/(3="" ×="" 2π)="" />
f < 0.05="" />
The Nyquist rate for a signal with a maximum frequency of 0.05 Hz is twice that frequency, or 0.1 Hz. Therefore,
Sampling rate = 10 times Nyquist rate = 1 Hz
Hence, the correct answer is option C.
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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated usin...
The input to a liner delta modulator is a sinusoidal signal whole frequency can vary from 200 to 500 HZ . the input sampled at 10times the nyquiest the peak amplitude of the sinusoidal signal is
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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer?
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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer?.
A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer?.
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A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A sinusoidal signal whose peak-peak amplitude is 6 V is modulated using deltamodulator. At what rate should be sinusoidal signal sampled such that slope over load distortion is prevented with step size of 0.942 V?a)20 times Nyquist rateb)5 times Nyquist ratec)10 times Nyquist rated)40 times Nyquist rateCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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