Secure communication has a wide range of interesting techniques. Here, a wavelet decomposed data communication packet is used, whose advantages are described. The problems of wide spectrum noise-based jamming, by hostile elements is counteracted. For this, several wavelet coefficients of a data packet are transmitted in non-harmonically related spread frequencies. The reconstruction of the wavelets, despite noisy detection at the received end, is shown to be better, typically for test data packets. The number of frequencies and the coefficients can be varied to suit the detection error limits. Several wavelets have been tired for this purpose and testing has been done even with image data. The results are found to be useful and interesting.