Dynamic Range RechnerFormel

## What is Dynamic Range?

Dynamic range is the ratio between the largest and smallest signals a system can handle, expressed in decibels.

### Formula

**DR (dB) = Max Signal Level - Noise Floor**

**Equivalent Bits = (DR - 1.76) / 6.02**

The equivalent bits tell you the ADC resolution needed to digitize this range. Each bit adds about 6 dB of dynamic range.

### Examples
- CD audio (16-bit): 96 dB
- Professional audio (24-bit): 144 dB theoretical
- FM radio: ~70 dB
- Human ear: ~120 dB

Lösungsbeispiel

Receiver with max signal +10 dBm and noise floor -80 dBm.

  1. Dynamic range: 10 - (-80) = 90 dB
  2. Equivalent bits: (90 - 1.76) / 6.02 = 14.7 bits
  3. A 16-bit ADC would cover this range