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Designing optimal prototype filters for maximally decimated Cosine Modulated filter banks with rapid convergence
B Keerthana1, N Raju1, Ravikumar Cv2
1School of Electrical and Electronics Engineering, SASTRA Deemed to be University, Thanjavur, Tamil Nadu, India.
Heliyon
|June 6, 2024
Summary
This study introduces an efficient prototype filter design for cosine-modulated filter banks using a constrained least-squares method. The approach ensures rapid convergence and superior performance in reducing amplitude and aliasing distortion for signal processing applications.
Area of Science:
- Digital Signal Processing
- Filter Bank Design
Background:
- Cosine-modulated filter banks are crucial for efficient signal processing.
- Near Perfect Reconstruction (NPR) filter banks require optimized prototype filters for minimal distortion.
Purpose of the Study:
- To propose an analytic design for a prototype filter in M-channel maximally decimated cosine-modulated NPR filter banks.
- To improve convergence speed and reduce design complexity compared to existing methods.
Main Methods:
- Utilized a constrained least-squares (CLS) method for prototype filter design.
- Employed single-parameter optimization with analytically determined optimal step size.
- Ensured a 3 dB cutoff frequency at π/2M.
Main Results:
- Achieved rapid convergence due to analytical determination of the optimal step size.
- Demonstrated superior performance over existing techniques, with amplitude distortion ~2.4489 × 10⁻⁴ and aliasing distortion ~3.4907 × 10⁻⁹.
- Validated the algorithm's effectiveness in sub-band coding of ECG signals.
Conclusions:
- The proposed CLS method offers an efficient and effective approach for designing prototype filters in cosine-modulated NPR filter banks.
- The optimized filters have practical implications in healthcare (e.g., ECG analysis) and communications, enhancing accuracy and efficiency.
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