Quantization noise is an incident aspect of digital signal procesing (DSP) systems. It results from approximating continuous signals with discrite levels during analog-to-digital conversion. Calculating the quantization noise power helps in designing systems with optimal exevence and commiting thee limitations imposed by quantization.

Understanding Quantization Noise

Quantization noise is te difference between thee input signal and it s quantized output. It is generaly moded as an additive noise source with a uniform distribution, assuming thoe quantization error is consistent of thee input signal.

Calculating Quantization Noise Power

Te quantization noise power can be calculated using thee formula:

CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; QNP = CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3;

kde se nachází 1; fl1; FLT: 0; FL3; GL1; FL1; FLT: 1 FL3; FL3; is the quantization step size. Thee step size is determinad by the range of the input signal divid by th te number of quantization levels:

CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CCANE3; CCANE1; CEUT1;

Here, CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS3; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS1; CATS1; CLAS1; CATS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS1; CLAS3; CLASLASLAS3; CTI3; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS1;

Example Calculation

Suppose te input signal ranges from - 1V to 1V, and an 8-bit ADC is used. Te number of levels is:

  • L = 2 CLAS1; CLAS1; FLT: 0 CLAS3; CLAS3; 8 CLAS1; CLAS1; CLAS1; CLAS3; = 256 levels

Te step size is:

CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CCAS3c; CCAS3c; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CLASLASLASLAS3c; C3c;

Te quantization noise power is:

CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS1; CLAS31; CLAS33; CLAS3c; CLAS3c; CLAS3c; CLAS3c; CCAS3c; CATS3c; CATS3c; CATS3c; CCAS3c; CCAS3c; CCAS3CCAS3c; CCAS3c; CCAS3CCAS3CATS3CATS3C3CATS3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3@@