Investigating Bias of DCFT, DPT and Promoted DPT Methods in terms of Phase Parameters Estimation of Chirp Signal

Authors

• Nooshin Rabiee ¹
• Hamid Aazad ²
• Naser Parhizgar ¹

1. Department of Electrical Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
2. Department of Electrical Engineering, Shiraz Branch, Islamic Azad University, Shiraz, Iran

Abstract

Amongst the approaches proposed to estimate parameters of a chirp signal sequentially, i.e., the central frequency and the chirp rate, algorithms, such as discrete polynomial-phase transform (DPT) and promoted DPT, exhibit acceptable estimation accuracy. Algorithms intended to estimate phase parameters sequentially, diminish the order of polynomials in complex exponential power to lower-order polynomials, and then estimate these two parameters using the NLS method in a given single exponential mode. The NLS method, which uses FFT to decrease the computational load of frequency domain search, encounters predicaments. In this work, we assessed the bias of algorithms intended for estimating of phase parameters sequentially using the RBF method. The results of investigating the bias of estimators indicated the improved accuracy of the DPT and promoted DPT algorithms in estimation using the RBF method instead of NLS and also than DCFT method.

Keywords

• Pulse width modulation (PWM) Technique
• Discrete Polynomial-Phase Transform (DPT)
• Linear Frequency Modulation (LFM)
• Discrete Chirp Fourier Transform (DCFT)