Enhanced Wideband Frequency Estimation via FFT: Leveraging Polynomial Interpolation and Array Indexing  

作　　者：Kiran Jayarama Chien-In Henry Chen Kiran Jayarama;Chien-In Henry Chen(Digital Receiver Laboratory, Department of Electrical Engineering, Wright State University, Dayton, OH, USA)

机构地区：[1]Digital Receiver Laboratory, Department of Electrical Engineering, Wright State University, Dayton, OH, USA

出　　处：《Journal of Computer and Communications》2024年第1期35-48,共14页电脑和通信（英文）

摘　　要：Accurate frequency estimation in a wideband digital receiver using the FFT algorithm encounters challenges, such as spectral leakage resulting from the FFT’s assumption of signal periodicity. High-resolution FFTs pose computational demands, and estimating non-integer multiples of frequency resolution proves exceptionally challenging. This paper introduces two novel methods for enhanced frequency precision: polynomial interpolation and array indexing, comparing their results with super-resolution and scalloping loss. Simulation results demonstrate the effectiveness of the proposed methods in contemporary radar systems, with array indexing providing the best frequency estimation despite utilizing maximum hardware resources. The paper demonstrates a trade-off between accurate frequency estimation and hardware resources when comparing polynomial interpolation and array indexing.Accurate frequency estimation in a wideband digital receiver using the FFT algorithm encounters challenges, such as spectral leakage resulting from the FFT’s assumption of signal periodicity. High-resolution FFTs pose computational demands, and estimating non-integer multiples of frequency resolution proves exceptionally challenging. This paper introduces two novel methods for enhanced frequency precision: polynomial interpolation and array indexing, comparing their results with super-resolution and scalloping loss. Simulation results demonstrate the effectiveness of the proposed methods in contemporary radar systems, with array indexing providing the best frequency estimation despite utilizing maximum hardware resources. The paper demonstrates a trade-off between accurate frequency estimation and hardware resources when comparing polynomial interpolation and array indexing.

关 键 词：Scalloping Loss Goertzel’s Algorithm SUPER-RESOLUTION Fast Fourier Transform (FFT) Decimation in Frequency (DIF) Decimation in Time (DIT) Spectral Leakage Frequency Estimation 

分 类 号：TN9[电子电信—信息与通信工程]