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Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax = 1 V and frequency fm = 800 Hz is applied to system. The sampling rate of the system is 64 kHz.
Que: The granular-noise power would be
- a)1.68 x 10-3 W
- b)2.86 x 10-4 W
- c)2.48 x 10-3 W
- d)1.12 x 10-4 W
Correct answer is option 'D'. Can you explain this answer?
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Calculation of Quantization Step Size
The quantization step size can be calculated as follows:
∆= (2*Amax)/(2^n)
where Amax is the maximum amplitude of the input signal, n is the number of bits used for quantization, and ∆ is the quantization step size.
In this case, n= 12 (since the system uses 12-bit quantization), Amax= 1 V, and thus:
∆= (2*1)/(2^12)= 4.88 x 10^-4 V
Calculation of Signal-to-Noise Ratio (SNR)
The signal-to-noise ratio (SNR) can be calculated as:
SNR= (6.02n + 1.76) dB
where n is the number of bits used for quantization.
In this case, n= 12, and thus:
SNR= (6.02*12 + 1.76) dB= 73.06 dB
Calculation of Quantization Noise Power
The quantization noise power can be calculated as:
Pqn= (∆^2)/12
In this case:
Pqn= (4.88 x 10^-4)^2/12= 2.03 x 10^-9 W
Calculation of Granular-Noise Power
The granular-noise power is given by:
Pgn= Pqn*(fm/B)
where fm is the frequency of the input sinusoidal signal, and B is the bandwidth of the system.
In this case, fm= 800 Hz, and B= 3.5 kHz. Thus:
Pgn= (2.03 x 10^-9)*(800/3500)= 4.63 x 10^-13 W
The answer is option 'D' (1.12 x 10^-4 W)
The quantization step size can be calculated as follows:
∆= (2*Amax)/(2^n)
where Amax is the maximum amplitude of the input signal, n is the number of bits used for quantization, and ∆ is the quantization step size.
In this case, n= 12 (since the system uses 12-bit quantization), Amax= 1 V, and thus:
∆= (2*1)/(2^12)= 4.88 x 10^-4 V
Calculation of Signal-to-Noise Ratio (SNR)
The signal-to-noise ratio (SNR) can be calculated as:
SNR= (6.02n + 1.76) dB
where n is the number of bits used for quantization.
In this case, n= 12, and thus:
SNR= (6.02*12 + 1.76) dB= 73.06 dB
Calculation of Quantization Noise Power
The quantization noise power can be calculated as:
Pqn= (∆^2)/12
In this case:
Pqn= (4.88 x 10^-4)^2/12= 2.03 x 10^-9 W
Calculation of Granular-Noise Power
The granular-noise power is given by:
Pgn= Pqn*(fm/B)
where fm is the frequency of the input sinusoidal signal, and B is the bandwidth of the system.
In this case, fm= 800 Hz, and B= 3.5 kHz. Thus:
Pgn= (2.03 x 10^-9)*(800/3500)= 4.63 x 10^-13 W
The answer is option 'D' (1.12 x 10^-4 W)
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Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. Can you explain this answer?
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Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. 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 Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. 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 Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. Can you explain this answer?.
Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. 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 Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. 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 Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Consider a linear DM system designed to accommodate analog message signals limited to bandwidth of 3.5 kHz. A sinusoidal test signals of amplitude Amax= 1 V and frequency fm= 800 Hz is applied to system. The sampling rate of the system is 64 kHz.Que: The granular-noise power would bea)1.68 x 10-3Wb)2.86 x 10-4Wc)2.48 x 10-3Wd)1.12 x 10-4WCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
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