Signal-to-quantization-noise ratio
Signal-to-quantization-noise ratio (SQNR or SNqR) is widely used quality measure in analysing digitizing schemes such as pulse-code modulation (PCM). The SQNR reflects the relationship between the maximum nominal signal strength and the quantization error (also known as quantization noise) introduced in the analog-to-digital conversion. The SQNR formula is derived from the general signal-to-noise ratio (SNR) formula: where: is the probability of received bit error is the peak message signal level is the mean message signal level The signal power is: Giving:
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- enSignal-to-quantization-noise ratio (SQNR or SNqR) is widely used quality measure in analysing digitizing schemes such as pulse-code modulation (PCM). The SQNR reflects the relationship between the maximum nominal signal strength and the quantization error (also known as quantization noise) introduced in the analog-to-digital conversion. The SQNR formula is derived from the general signal-to-noise ratio (SNR) formula: where: is the probability of received bit error is the peak message signal level is the mean message signal level The signal power is: Giving:
- Has abstract
- enSignal-to-quantization-noise ratio (SQNR or SNqR) is widely used quality measure in analysing digitizing schemes such as pulse-code modulation (PCM). The SQNR reflects the relationship between the maximum nominal signal strength and the quantization error (also known as quantization noise) introduced in the analog-to-digital conversion. The SQNR formula is derived from the general signal-to-noise ratio (SNR) formula: where: is the probability of received bit error is the peak message signal level is the mean message signal level As SQNR applies to quantized signals, the formulae for SQNR refer to discrete-time digital signals. Instead of , the digitized signal will be used. For quantization steps, each sample, requires bits. The probability distribution function (pdf) representing the distribution of values in and can be denoted as . The maximum magnitude value of any is denoted by . As SQNR, like SNR, is a ratio of signal power to some noise power, it can be calculated as: The signal power is: The quantization noise power can be expressed as: Giving: When the SQNR is desired in terms of decibels (dB), a useful approximation to SQNR is: where is the number of bits in a quantized sample, and is the signal power calculated above. Note that for each bit added to a sample, the SQNR goes up by approximately 6dB.
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- Signal-to-quantization-noise ratio
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- enSignal-to-quantization-noise ratio
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- www.dsplog.com/2007/03/19/signal-to-quantization-noise-in-quantized-sinusoidal/
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- Analog-to-digital conversion
- Category:Digital audio
- Category:Engineering ratios
- Category:Noise (electronics)
- Decibels
- Digitizing
- Probability density function
- Pulse-code modulation
- Quantization error
- Signal strength
- Signal-to-noise ratio
- SameAs
- 4uUkY
- m.095px
- Q7512618
- Signal-to-quantization-noise ratio
- יחס אות לרעש קוונטיזציה
- குறிகை-குவையமாக்கல்-இரைச்சல் விகிதம்
- 信號-量化雜訊比
- Subject
- Category:Digital audio
- Category:Engineering ratios
- Category:Noise (electronics)
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- Signal-to-quantization-noise ratio?oldid=990441528&ns=0
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- Wikipage page ID
- 3321592
- Wikipage revision ID
- 990441528
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- Template:No footnotes
- Template:Noise