Fully sigma-delta modulation encoded FIR filters

The author suggests an FIR filter structure where both the input signal and the impulse response are encoded using sigma-delta modulation. As a result, the convolution can be obtained by summing a collection of binary or ternary numbers, depending on the quantizer in the sigma-delta modulator. This filter structure can accept analog input signals directly and can be built using modular hardware. The overall error spectrum due to the encoding/decoding processes is derived, and the implementation issues of this filter structure are discussed. An example of its performance with different input signals is provided