Analog implementation of ratio spectrum computation

A novel transform space called the ratio spectrum has been developed. The ratio spectrum is formed by plotting the ratio of the power of a low-pass filtered signal to the power of the original unfiltered signal vs. the filter cutoff frequency. The spectrum is necessarily a monotonic function of frequency that is bounded between zero and one. Though we prove that this transform space is mathematically equivalent to the power spectrum of a signal, the ratio spectrum provides a number of computational advantages. One major advantage is that analog hardware can efficiently compute the ratio spectrum. Measured results from such an analog VLSI implementation are discussed in this paper