Design and implementation of odd-order wave digital lattice lowpass filters, from specifications to Motorol DSP56307EVM module
This thesis is dedicated to applying and developing explicit formulas for the design and implementation of odd-order lattice Lowpass wave digital filters (WDFs) on a Digital Signal Processor (DSP), such as a Motorola DSP56307EVM (Evaluation Module). The direct design method of Gazsi for filter types such as Butterworfh, Chebyshev, inverse Chebyshev, and Cauer (Elliptic) provides a straightforward method for calculating the coefficients without an extensive knowledge of digital signal processing. A program package to design and implement odd-order WDFs, including detailed procedures and examples, is presented in this thesis and includes not only the calculations of the coefficients, but also the simulation on a MATLAB platform and an implementation on a Motorola DSP56307EVM board. It is very quick, effective and convenient to obtain the coefficients when the user enters a few parameters according to the general specifications; to verify the characteristics of the designed filter; to simulate the filter on the MATLAB platform; to implement the filter on the DSP board; and to compare the results between the simulation and the implementation.
Summary
This thesis presents explicit, practical formulas and a software package for designing odd-order wave digital lattice lowpass filters (WDFs) and demonstrates their simulation in MATLAB and implementation on a Motorola DSP56307EVM. It guides the reader from prototype selection (Butterworth, Chebyshev, inverse Chebyshev, Elliptic) through coefficient calculation, quantization, and real-time DSP deployment.
Key Takeaways
- Apply Gazsi's direct design formulas to compute coefficients for odd-order wave digital lattice lowpass filters.
- Simulate lattice WDF frequency responses and stability in MATLAB to validate designs before hardware testing.
- Implement odd-order lattice WDFs on a Motorola DSP56307EVM, including fixed-point quantization and runtime considerations.
- Evaluate trade-offs among Butterworth, Chebyshev, inverse Chebyshev, and Elliptic prototypes for odd-order implementations.
Who Should Read This
Graduate-level DSP engineers or senior embedded DSP developers familiar with filter theory and seeking practical guidance to design, simulate, and deploy odd-order wave digital lattice lowpass filters on real-time DSP hardware.
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