Quantization noise is an inherent aspect of digital signal processing (DSP) systems. It results from approximating continuous signals with discepte levels during analog- to-digital conversion. Calculating the quantization noise power helps in designing systems witch optimal performance and understanding the limitations imposed by quantization.

Uzgodnienie ilościowe

Quantization noise is the difference te input signal and it quantized output. It is generally modelly modeled as an additiva noise source with a uniform distribution, assuming thee quantization error is independent of the input signal.

Kalkulating Quantization Noise Power

The quantization noise power can be calculated using thee formula:

Xi1; Xi1; FLT: 0 Xi3; Xi3; QNP = Δ² / 12 Xi1; Xi1; FLT: 1 Xi3; Xi3;

where message 1; Xi1; FLT: 0 message 3; Xi3; Xi1; FLT: 1 message 3; Xi3; is the quantization step size. The step size is determinate the range e of thee input signal divided by the number of quantization levels:

Xi1; Xi1; FLT: 0 Xi3; Xi3; Δ1; FLT: 1 Xi1; Xi3; Xi3; max Xi1; Xi1; FLT: 2 Xi3; Xi3; - V Xi1; Xi1; FLT: 3 XI3; Xi3; Xi1; FLT: 4 XI3; XiX3;) / L XiV1; XiV1; FLT: 5 XiV3; XIV3; XIV3; FLT: 4 XIX3; XIX3; FLT: 4; XIXIX3;) / L XIX1; FLT: 5;

Here, dem1; FLT: 0 is 3; V is 1; dem1; dem1; FLT: 1 is 3; dem3; max edi1; dem1; FLT: 2 is 3; demdis3; demdis1; EDI1; FLT: 3 is 3; EDI3; EDI1; FLT: 4 is 3; EDI3; VIS1; EDI1; FLT: 5 is 3; EDIM3; MERIN EDI1; EDI1; FLT: 6 is 3; EDID3; EDI1; FLT: 7 pertis3; EDID3; FLT; are the maximudem andd minimum input voltages, andID 1; EDIF: 1; FLT: 8 addis3; ED3s; ED3s; ithe number; ibef quantization levillf lev3s, whics, which pos; the.

Badanie Calculation

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

  • L = 2 supporcje 1; supporcje 1; supporcje 1; supporcje 3; supporcje 3; supporcje 2; supporcje 3; supporcje 3; supporcje 2; supporcje 3; supporcje 3; supporcje 2; supporcje 3; supporcje 3; supporcje 2; supporcje 3; supporcje 3; supporcje 2 i 3; supporcje 3; = supporcje 4 i 4 poziomy

Te step size is:

(1 - (- 1)) / 256 = 2 / 256 = 0. 0078V (1); 1; 1; FLT: 1.

The quantization noise power is:

(0, 0078) ² / 12 ≤ 5, 07 × 10 × 10 × 1; FLT: 1 = 3; FLT: 3; -6 = 1; FLT: 2 = 3; V ² = 1; FLT: 3 = 3; FLT; FLT = 3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3; FL3 = 1 = FL1; FL1 = 1; FL3 = FL3 = 1; FL3 = FL3 = FL3 = FLV = FL3 = FL3 = FLV = FL1 = FL1 = FL1 = FL1 = FL1 = FL1 = FL3 = FL1 = FL3 = FL1 = FL1 = FL1 = FL1 = FL3 = FL1 = FL1 = FL1 = FL1 = FL1