Differentially encoded BPSK: coherent detection

In coherent detection, the receiver derives its demodulation frequency and phase references using a carrier synchronization loop. Such synchronization circuits may introduce phase ambiguity $latex \phi = \hat{\theta}-\theta $ in the detected phase, which could lead to erroneous decisions in the demodulated bits. For example, Costas loop exhibits phase ambiguity of integral multiples of $latex … Read more

Power delay profile (PDP) — multipath power vs delay

What a power delay profile is, how it shows multipath taps vs excess delay, and how it connects to delay spread and wireless channel models.

QAM modulation simulation — rectangular constellations in Matlab and Python

Digital Modulations 101 — 5 lessons (same on every page in this path) 1. BPSK → 2. QPSK → 3. M-PSK sim → 4. QAM sim (you are here) → 5. EVM Tools: BER vs Eb/N0 · EVM → SNR · Eb/N0 ↔ SNR Also on the Matlab → Python path (lesson 3 of 4): … Read more

M-PSK simulation — Matlab and Python BER curves for higher-order phase shift keying

Digital Modulations 101 — 5 lessons (same on every page in this path) 1. BPSK → 2. QPSK → 3. M-PSK sim (you are here) → 4. QAM sim → 5. EVM Tools: BER vs Eb/N0 · EVM → SNR · Eb/N0 ↔ SNR Also on the Matlab → Python path (lesson 4 of 4): … Read more

Derive BPSK BER – optimum receiver in AWGN channel

BPSK Lab path:Derive BER (theory) → AWGN noise model → BER simulation (Python & Matlab)Tools: BER vs Eb/N0 calculator · Shannon capacity Key focus: Derive BPSK BER (bit error rate) for optimum receiver in AWGN channel. Explained intuitively step by step. BPSK modulation is the simplest of all the M-PSK techniques. An insight into the … Read more

BPSK BER on Rayleigh fading vs AWGN — why flat fading costs SNR

Fading & Diversity — 6 lessons (same on every page in this path) 1. Rayleigh BER (you are here) → 2. Clarke’s model → 3. Young’s model → 4. SIMO models → 5. Selection combining → 6. MRC Tools: BER vs Eb/N0 · 3GPP TDL · CDL / Doppler Lesson 1 of 6. See the … Read more

BPSK modulation and demodulation — constellation, decision rule, and BER intuition

BPSK maps bits to opposite phases; coherent demodulation, decision rule, and links to the Q-function BER formula and interactive calculator.