Read the equation
Adds a bit-error penalty and an inverse signal-to-noise penalty. Better signal quality reduces the second term. SNR must be positive, and weights must put unlike quantities on an appropriate shared scale.
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read Cost_1 as the quantity being defined or updated by this relation.
Forms a ratio or division. A zero denominator needs an explicit exclusion or handling rule.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
\text{BER} = \frac{N_{\text{err}}}{N_{\text{total}}}
2. Signal-to-Noise:
\text{SNR} = \frac{P_{\text{signal}}}{P_{\text{noise}}}
3. Layer Cost:
\text{Cost}_1 = a_1\cdot \text{BER} + b_1\cdot \frac{1}{\text{SNR}}
4. Full-layer update:
(S_1^\*, D_1^\*)=\arg\min(\text{Global Loss}+ \text{Cost}_1)
⸻
Layer 2 — Link Layer (N2)Exact original notation
\text{Cost}_1 = a_1\cdot \text{BER} + b_1\cdot \frac{1}{\text{SNR}}Related builds
Sources & provenance
\text{Cost}_1 = a_1\cdot \text{BER} + b_1\cdot \frac{1}{\text{SNR}}
\text{Cost}_1 = a_1\cdot \text{BER} + b_1\cdot \frac{1}{\text{SNR}}