Interactive Quantization Laboratory

Visualize the mapping of continuous real values to discrete integers. New enhancements include a 2D Staircase Function, live Binary translation, an Auto-Sweep tool, a Strict Symmetric mode, and an Error Landscape visualizer.

Presets

System Parameters

Bit Depth (b): 4 bits

Target Type

Signed Unsigned

Strict Symmetric
(e.g. [-127, 127] instead of [-128, 127])

r_min

r_max

Test Value

Real Input (r): 0.45

Display

Show error panels Error Landscape and Error Analysis

1D Mapping View

Staircase Transfer Function

Error Landscape (r - r̂)

1. Calculate Constants

Target Bounds: q ∈ [-8, 7]

S = r_max - r_min q_max - q_min = 0.1333

Z = round(q_min - r_min/S) = 0

2. Quantize & Dequantize

Quantize (Real → Integer):

q = clip(round(r/S)+Z) = 3

Binary (Bits): 0011

Dequantize (Integer → Approx Real): r̂ = S(q - Z) = 0.4000

3. Error Analysis (Error = r - r̂)

Total Error 0.0500

Rounding Error 0.0500

Clipping Error 0.0000