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Consider an audio signal with spectral components limited to the frequency band of 300 to 3300 hz. A pcm signal is generated with a sampling rate of 8000 samples/sec. The required output signal to quantizing noise ratio is 30db.What is the minimum number of uniform quantizing levels needed and what is the minimum number of bits per second needed. calculate the minimum system bandwidth required.?
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Consider an audio signal with spectral components limited to the frequ...
Audio Signal Specifications
- The audio signal has spectral components limited to the frequency band of 300 to 3300 Hz.
- The PCM signal is generated with a sampling rate of 8000 samples/sec.
Quantizing Noise Ratio
- A required output signal-to-quantizing noise ratio (SQNR) of 30 dB is specified.
Calculating Minimum Number of Quantizing Levels
- The SQNR in decibels is given by the formula:
SQNR(dB) = 6.02 * n + 1.76
- Rearranging gives the number of bits (n):
n = (SQNR(dB) - 1.76) / 6.02
- Substituting SQNR = 30 dB:
n = (30 - 1.76) / 6.02 ≈ 4.68
- Therefore, rounding up, minimum quantizing levels (L) needed:
L = 2^5 = 32 levels.
Minimum Bits per Second Calculation
- The bit rate (R) is calculated by:
R = Sampling Rate * Bits per Sample
- With a sampling rate of 8000 samples/sec and 5 bits:
R = 8000 * 5 = 40,000 bits/sec or 40 kbps.
Minimum System Bandwidth Requirement
- According to Nyquist theorem, the minimum bandwidth (B) required for the PCM signal is half the sampling rate:
B = Sampling Rate / 2
- Substituting the values:
B = 8000 / 2 = 4000 Hz.
Summary
- Minimum Quantizing Levels: 32 levels
- Minimum Bits per Second: 40 kbps
- Minimum System Bandwidth: 4000 Hz
This analysis outlines the requirements for the PCM system, ensuring efficient audio signal processing while adhering to the specified SQNR.
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Consider an audio signal with spectral components limited to the frequency band of 300 to 3300 hz. A pcm signal is generated with a sampling rate of 8000 samples/sec. The required output signal to quantizing noise ratio is 30db.What is the minimum number of uniform quantizing levels needed and what is the minimum number of bits per second needed. calculate the minimum system bandwidth required.?
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Consider an audio signal with spectral components limited to the frequency band of 300 to 3300 hz. A pcm signal is generated with a sampling rate of 8000 samples/sec. The required output signal to quantizing noise ratio is 30db.What is the minimum number of uniform quantizing levels needed and what is the minimum number of bits per second needed. calculate the minimum system bandwidth required.? 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 an audio signal with spectral components limited to the frequency band of 300 to 3300 hz. A pcm signal is generated with a sampling rate of 8000 samples/sec. The required output signal to quantizing noise ratio is 30db.What is the minimum number of uniform quantizing levels needed and what is the minimum number of bits per second needed. calculate the minimum system bandwidth required.? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider an audio signal with spectral components limited to the frequency band of 300 to 3300 hz. A pcm signal is generated with a sampling rate of 8000 samples/sec. The required output signal to quantizing noise ratio is 30db.What is the minimum number of uniform quantizing levels needed and what is the minimum number of bits per second needed. calculate the minimum system bandwidth required.?.
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