학술논문

Joint Design of Mismatched Filter and Phase Coded Waveform via Mainlobe Broadening
Document Type
Conference
Source
2023 8th International Conference on Signal and Image Processing (ICSIP) Signal and Image Processing (ICSIP), 2023 8th International Conference on. :1004-1008 Jul, 2023
Subject
Signal Processing and Analysis
Closed-form solutions
Shape
Frequency-domain analysis
Image processing
Filtering algorithms
Convex functions
High frequency
mismatched filter
waveform design
mainlobe broadening
sidelobe suppression
Language
Abstract
The joint design of mismatched filter and waveform is an important technique in suppressing sidelobes of phase coded waveform. Conventionally, an implied constraint that the mainlobe response is of the same width as a chip or bit is included. In fact, a slightly broadened mainlobe is acceptable in most cases. More importantly, relaxation of the mainlobe width will provide more design freedom in sidelobe suppression. In this work, the mainlobe response is broadened into a fixed window shape. Under the constraints of the shape of mainlobe and waveform constant modular, the optimization problem is to minimize the integrated sidelobe level (ISL). The optimization problem is solved by Lagrange multiplier method and Alternating Direction Multiplier Method (ADMM). This method will obtain low sidelobes with a slight loss of signal-to-noise ratio. Additionally, the explanation that mainlobe broadening can further reduce the sidelobe is given in the frequency domain.