Physical encryption-compression and decryption-decompression of data using the Fourier transform

In lieu of the traditional method of data encryption using Hadamard matrices we here propose a method which change in the encryption part mathematical with physical means, namely the mathematical Hadamard transform with the physical Fourier transform using a lens. The Fourier transform has a lower power of compression, but the advantage of using physical encoding compensated for this disadvantage. Our approach has two parts, an encryption-compression stage, and a decryption-decompression stage, which are supposed to be complementary and are coupled by means of a computer which controls both experiments and uses the output of the encryption-compression stage as input for the decryption-decompression stage.