ZadoffChu
Zadoff-Chu sequences, often abbreviated as ZC sequences, are a class of complex-valued sequences used in wireless communications for their favorable correlation properties. They are known for constant amplitude and zero autocorrelation (CAZAC), which makes them particularly suitable for timing and channel estimation tasks in noisy and multipath environments.
Mathematically, a Zadoff-Chu sequence of length N is defined for a root index q with gcd(q, N)
Key properties include constant magnitude and the CAZAC characteristic: the cyclic autocorrelation of a ZC sequence
Applications and usage: Zadoff-Chu sequences are widely used in cellular standards for synchronization signals and random