| dbo:abstract |
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 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. (en) 在信號量化時，會產生量化誤差，信號－量化雜訊比（英語：Signal-to-quantization-noise ratio，SQNR或SNqR）是信號能量對量化雜訊能量之比值，用以度量量化之效能，通常使用分貝表示。 信號－量化雜訊比公式由通用信噪比公式导出: 其中： 是接收到比特差錯的概率为峰值消息信号电平为平均消息信号电平 由于SQNR适用于量化信号，因此SQNR公式中的信号为离散时间数字信号，所有我们将使用数字化信号代替。对于个量化层级的取样，每个取样需要个位元。中值的分布可以用概率密度函数来表示。任意的最大幅度值用表示。 由于信號-量化雜訊比和一般的信噪比一样，是信号功率与某噪声功率的比值，因此可以用如下公式计算： 信号功率为： 量化噪声功率可以表示为： 可求出： 当SQNR需要以分贝为单位表示时，一个有意义的近似值是： 其中是量化取样的位元数，是上面所计算的信号功率。从这个公式不难看出，当量化取样的位元数增加1时，SQNR将会增加大约6（）分贝。 (zh) |
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| rdfs:comment |
在信號量化時，會產生量化誤差，信號－量化雜訊比（英語：Signal-to-quantization-noise ratio，SQNR或SNqR）是信號能量對量化雜訊能量之比值，用以度量量化之效能，通常使用分貝表示。 信號－量化雜訊比公式由通用信噪比公式导出: 其中： 是接收到比特差錯的概率为峰值消息信号电平为平均消息信号电平 由于SQNR适用于量化信号，因此SQNR公式中的信号为离散时间数字信号，所有我们将使用数字化信号代替。对于个量化层级的取样，每个取样需要个位元。中值的分布可以用概率密度函数来表示。任意的最大幅度值用表示。 由于信號-量化雜訊比和一般的信噪比一样，是信号功率与某噪声功率的比值，因此可以用如下公式计算： 信号功率为： 量化噪声功率可以表示为： 可求出： 当SQNR需要以分贝为单位表示时，一个有意义的近似值是： 其中是量化取样的位元数，是上面所计算的信号功率。从这个公式不难看出，当量化取样的位元数增加1时，SQNR将会增加大约6（）分贝。 (zh) 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: (en) |
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Signal-to-quantization-noise ratio (en) 信號-量化雜訊比 (zh) |
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