Doppler Frequency Calculation

This Doppler frequency calculation system accepts three primary input parameters: radar operating frequency (freq), target attitude angle (ang), and target velocity (tv). The algorithm outputs the computed Doppler frequency (fd) and time dilation factor ratio (tdr), which are essential for radar signal processing and target characterization. In typical implementations, the Doppler frequency calculation involves vector projection operations where the target velocity is resolved relative to the radar's line-of-sight direction, often implemented using cosine functions for angular relationships.

The radar operating frequency determines the system's wavelength and directly influences the Doppler shift sensitivity through the fundamental equation fd = (2*v_radial)/λ, where λ represents the wavelength derived from freq. The attitude angle parameter enables proper coordinate transformation between target-oriented and radar-oriented reference frames, typically handled through rotation matrices or trigonometric functions in the underlying code.

The time dilation factor ratio (tdr) accounts for relativistic effects in high-velocity scenarios and is calculated alongside Doppler effects. Modern implementations often combine these calculations in optimized signal processing pipelines, utilizing floating-point arithmetic for precision and potentially employing lookup tables for rapid trigonometric computations in real-time systems. These parameters collectively enable accurate Doppler analysis for applications ranging from automotive radar to aerospace tracking systems.