Optimum Quantization of a Class of Non Bandlimited Signals,
CALIFORNIA INST OF TECH PASADENA DEPT OF ELECTRICAL ENGINEERING
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We consider the quantization of a special class of non bandlimited signals, namely the class of discrete time signals that can be recovered from their decimated version. Similar to sigma-delta modulation ideas, we show that we can obtain a great reduction in the quantization noise variance due to the oversampled nature of these signals. We then consider noise shaping by optimizing a pre- and post filter around the quantizer and develop a closed form expression for the coding gain of the scheme under study. The use of an orthonormal filter bank as a sophisticated quantizer is investigated and several examples are provided.
- Test Facilities, Equipment and Methods
- Electricity and Magnetism
- Quantum Theory and Relativity