Patent ID: 8611190

Claim:
A nonlinear acoustic wave producing apparatus comprising: a conical housing filled with a resin that holds an array of a plurality of discrete ceramic elements made of a piezoelectric material; an electronic circuit board that is contained in said conical housing and is wired to each of said plurality of discrete ceramic element; an electronic control suite containing a programmable digital processor with a non-volatile memory component wherein the programmable digital processor is programmed with an algorithm designed to operate the array of a plurality of discrete ceramic elements, wherein the algorithm initiates the digital processor to perform the steps of providing a digital acoustic wave form; performing a least squares calculation on the acoustic wave form to obtain approximations of kernels h 0 , h 1 , h 2 , h 3 from the zero order to the third order; determining a number of indices k 1 , k 2 , k 3 for each kernel h 0 , h 1 , h 2 , h 3 through Fourier analysis; transforming kernels h 0 , h 1 , h 2 , h 3 into a frequency domain; assessing which frequency domain kernels h 0 , h 1 , h 2 , h 3 have a frequency content with the highest decibel level and discarding the remaining frequency domain kernels; segmenting the remaining frequency domain kernels h 0 , h 1 , h 2 , h 3 into equal overlapping sub-bands; discarding the overlap between sub-bands; summing the sub-bands representing segmented frequency domain kernels into whole kernels while taking into account Fourier symmetry property; placing the whole kernels back into the time domain from the frequency domain using an inverse fast Fourier transform for each kernel; and solving for y(n) with least squares for the least amount of indices and redundant frequencies, where y(n) is expressed as y ⁡ ( n ) = ⁢ h 0 + ∑ k 1 = 0 K - 1 ⁢ h 1 ⁡ ( k 1 ) ⁢ x ⁡ ( n - k 1 ) + ⁢ ∑ k 1 = 0 K - 1 ⁢ ∑ k 2 = 0 K - 1 ⁢ h 2 ⁡ ( k 1 , k 2 ) ⁢ x ⁡ ( n - k 1 ) ⁢ x ⁡ ( n - k 2 ) + ⁢ ∑ k 1 = 0 K - 1 ⁢ ∑ k 2 = 0 K - 1 ⁢ ∑ k 3 = 0 K - 1 ⁢ h 3 ⁡ ( k 1 , k 2 , k 3 ) ⁢ x ⁡ ( n - k 1 ) ⁢ x ⁡ ( n - k 2 ) ⁢ x ⁡ ( n - k 3 ) ≡ ⁢ y 0 + y 1 ⁡ ( n ) + y 2 ⁡ ( n ) + y 3 ⁡ ( n ) ; an electrical power source that actuates the array of a plurality of discrete ceramic elements with voltage inputs initiated by the electronic control suite, which generate compression and contractions in each discrete ceramic element in a non-linear manner that emulates the cicada sound production system; and a resonating chamber with an operculum, wherein the operculum serves as the opening from which sound propagates.