A Novel Window Function Yielding Suppressed Mainlobe Width and Minimum Sidelobe Peak

TL;DR

The paper introduces a new window function for FIR filters that achieves narrower main lobes and significantly reduced side lobe peaks, improving filter performance in signal processing applications.

Contribution

A novel window function with enhanced side lobe suppression and comparable main lobe width, outperforming traditional windows like Hamming, Kaiser, and Dolph-Chebyshev.

Findings

Reduces side lobe peak by approximately 22.62 dB compared to Hamming window.

Maintains similar main lobe width to Hamming window.

Demonstrates improved filter performance in practical FIR filter design.

Abstract

In many applications like FIR filters, FFT, signal processing and measurements, we are required (~45 dB) or less side lobes amplitudes. However, the problem is usual window based FIR filter design lies in its side lobes amplitudes that are higher than the requirement of application. We propose a window function, which has better performance like narrower main lobe width, minimum side lobe peak compared to the several commonly used windows. The proposed window has slightly larger main lobe width of the commonly used Hamming window, while featuring 6.2\ sim 22.62 dB smaller side lobe peak. The proposed window maintains its maximum side lobe peak about -58.4 \sim -52.6 dB compared to -35.8 \sim -38.8 dB of Hamming window for M=10~14, while offering roughly equal main lobe width. Our simulated results also show significant performance upgrading of the proposed window compared to the Kaiser, Gaussian, and Lanczos windows. The proposed window also shows better performance than Dolph-Chebyshev window. Finally, the example of designed low pass FIR filter confirms the efficiency of the proposed window.