📡 Interactive FMCW Radar Simulator See how a chirp signal detects an object's range and velocity from the returned echo. 📡 Radar Parameters Carrier Frequency 77 GHz Chirp Bandwidth 500 MHz Chirp Duration 1 ms Chirp Slope 5.00 × 10¹¹ Hz/s 🎯 Target Parameters Target Range 50 m Target Velocity 20 m/s Interpretation ...

  📡 How Does a Chirp Signal Detect an Object? Understanding the difference between steady-frequency radar and chirp-based FMCW radar. The Basic Idea A radar can transmit a radio-frequency signal and listen for the signal reflected from an object. The important difference is whether the transmitted frequency is constant or changes with time. 📻 Steady-Frequency Signal f(t) = f c The carrier frequency remains constant. 📈 Chirp S...

📡 AM Modulation & Power Simulator Carrier • Message • AM Waveform • Modulation Index • Power Teaching objective: This simulation demonstrates an important concept: Carrier frequency and message frequency determine the frequency location of the AM signal, but they do not by themselves determine the transmitted power. The transmitted power depends mainly on the carrier power and modulation index. 🎛️ Signal Controls Carrier Frequency f c 100 kHz Carrier frequency changes the number of carrier cycles. Message Frequency f m 5 kHz Message frequency controls the envelope variation. Carrier Power P C Reference unmodulated carrier power. Modulation Index μ 1.00 μ = 1 → 100% modulation VSB Vestige k 50% 0% → SSB-like, 100% → DSB-like 📈 AM Waveform Visualization Carrier Message AM envelope AM signal ✓ μ = 1.00 → 100% modulation....

  The Mathematics Behind the RSA Algorithm RSA is one of the classic public-key cryptographic algorithms. Its mathematics comes primarily from number theory , especially prime numbers, modular arithmetic, Euler's theorem, and modular inverses. 1. The Big Picture RSA has two keys: Public key — anyone can know it. Private key — must be kept secret. Message   →   Encryption using public key   →   Ciphertext Ciphertext   →   Decryption using private key   →   Original Message The fascinating part is that encryption and decryption are based on exponentiation modulo a large number. Encryption: c = m e mod n Decryption: m = c d mod n 2. First: What Does "mod" Mean? The word mod means "remainder after division." Example 1 17 divided by 5 gives: 17 = 5 × 3 + 2 Therefore: 17 mod 5...